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NORVIN RICHARDS: Last
time I introduced you

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to something strange.

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This whole semester maybe
has been kind of strange.

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But last time I tried to
get you to take seriously

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the idea that in addition to the
kind of movement that we were

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talking about at the
beginning, the kind where you

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took some phrase and
caused it to be pronounced

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in a place that wasn't the
place that it started out,

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the way we were
doing wh- movement,

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and NP movement, those
kinds of movements

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where you can see why
it's called movement.

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The result of movement
is that the thing is

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no longer where it was before.

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That's kind of what you
expect with movement.

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Last time I was
trying to get you

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to believe that there's another
kind of movement which exists

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and moves things,
but which does not

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change the order in which
the words are pronounced.

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There are several examples
of this kind of movement.

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But the one I was
introducing you to last time

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is called QR, which is short
for "quantifier raising."

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So it was a proposal about
how to get ambiguities--

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like the ambiguity in
"Everyone in this room

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speaks two languages,"
which we talked about.

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This could mean either everyone
in the room is bilingual.

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Or there are two
particular languages

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that everyone in this
room has in common.

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And maybe some of
them are bilingual,

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but maybe some of you speak
three languages, or four,

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or five.

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So on one reading, it means
there are two languages

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that everyone speaks.

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Maybe we all speak
English and French.

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And some of us all
speak other languages.

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In the other reading it means,
for everyone in this room,

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the following is true.

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They speak two languages.

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Maybe we have no
languages in common.

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So one of us speaks
Swahili and German.

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And the other one speaks
Burmese and Quechua, and so on.

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Yeah, so we all agreed that
it had those two readings.

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And what I said was, there
is a proposal, in fact,

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it's the default assumption
in the literature,

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about how to deal with this
kind of ambiguity, is to say,

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there is an optional
operation that

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takes one of those
quantifiers and moves it

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past the other one.

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And the order in which you
interpret the quantifiers

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is determined by the
position that they're

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in after you do that movement.

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But in English, this
movement is invisible.

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So you have the option of moving
"two languages" to a position

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above "everyone in this room."

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And if you do that, you
only get the reading,

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there are two languages that
everyone in this room speaks.

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And if you don't, then
you only get the reading,

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it's true for
everyone in this room

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that they speak two languages.

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So that string of
words is ambiguous.

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But that ambiguity is, in the
end, a structural ambiguity,

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just like the ambiguity
for "I shot an elephant

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in my pajamas," So in "I shot
an elephant in my pajamas,"

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we ended up deciding that's
a structural ambiguity.

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That is, that string of
words has two different trees

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that it can be associated with.

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Then the two different trees
have different meanings.

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And that's-- and we saw
lots of evidence for that.

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The claim that's underlying
quantifier raising

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is that this is also a
structural ambiguity.

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That string of
words has two trees

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that are associated with it.

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And the weird thing about
QR is that one of the trees

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involves a movement
operation that you can't see,

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that the claim is.

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One of the interpretations
is related to a tree

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that, if you pronounced
the movement,

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would be "Two languages,
everyone in this room speaks."

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And the claim was English,
well, does its QR in a way

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that you can't see.

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I showed you Hungarian
apparently does its QR

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in a way that you can see.

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You get to see these quantifiers
moving back and forth.

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And that's where we were.

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I'm sort of repeating that
partly to make sure that nobody

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is thinking that there was
something that they were

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supposed to understand
that they didn't.

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This is supposed to seem
creepy at this stage.

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Here I am saying that things
are moving in an invisible way.

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You're not supposed to come
out of that thinking, oh yeah,

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sure.

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Are there questions about that?

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Are you all in the
appropriate emotional state?

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Yes, I just said
all that, thank you.

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So this is our first
case of covert movement.

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And because it's
late April, it's

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probably the only kind
of covert movement

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that we'll have a
chance to talk about.

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There are other kinds, but
this is one of the big ones.

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So I gave you some reasons last
time to take seriously the idea

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that QR exists.

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And we even talked a little bit
about some of the conditions

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on it.

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So, for example, we saw that
QR cannot get out of a TP.

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So it can't get out of
the clause that it's in.

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We saw some evidence for that.

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What I want to do today is show
you another condition on it.

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This is something that my
colleague Danny Fox discovered.

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And it's I'm telling
you about it because I

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think it's really cool.

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So here's a condition on QR,
which is really interesting.

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Here's another case of QR,
so "Someone loves everyone."

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If you do QR, then this
means no one is unloved.

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So everyone has this
property, someone loves them.

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If you don't do
QR, then it means

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there is a particular
person, my grandma

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maybe, who loves everyone.

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So there are these
two quantifiers.

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And by doing QR, you change
the relationship between them

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in a way that changes the
meaning of the sentence.

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Looking at this,
you might wonder,

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is QR just always optional?

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So suppose I am looking
at "John loves everyone."

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Well, here there's
only one quantifier.

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So you might have
thought that the simplest

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theory, the easiest
theory would be

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one that said, whenever
you have a quantifier,

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you can optionally
do QR to it or not.

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And if you do QR
to it, then if it

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goes past another quantifier,
then congratulations.

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You've changed the meaning.

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And if not, well, I hope
you enjoyed doing QR,

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but it didn't do anything.

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You could imagine
that it would work

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like that, that QR would
just be something that you

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could always optionally do.

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My colleague Denny
Fox has discovered

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that this is not how it works.

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So this is a case where
QR wouldn't do anything.

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And what Fox
discovered is that when

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QR wouldn't do anything to the
meaning, it's not possible.

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It's going to take a while to
show you the evidence for that.

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We're going to have to develop
another detector for QR.

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But we'll do that,
and then we'll

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be in a position to
demonstrate that this is true.

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So let me show you.

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The detector is going to
involve a phenomenon called

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VP ellipsis, which I think
we've touched on every so often,

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but let's touch on it again.

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So sentence like "John bought
a book and Mary did too,"

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ellipsis refers to
this kind of thing

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you can sometimes do where you
leave out part of the sentence.

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You just don't pronounce part
of the sentence in this case.

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This is called VP ellipsis
because there where I've got

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that underscore, there
would have been a VP,

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but there isn't.

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Sentences like this,
the missing verb phrase

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gets interpreted as being
the same as some other verb

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phrase that's salient.

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Often it's a verb phrase
that someone has said.

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So "John bought a book
and Mary did too,"

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this has to mean something
like John bought a book,

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and Mary bought a book too.

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So the missing verb
phrase is understood

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as being the same as the other
verb phrase that you can see.

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Yeah, is this clear enough?

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Lots of interesting work on
what exactly counts as the same.

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So there are some clear cases.

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If I say "John bought a book
and Mary did too," Mary--

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what Mary did was buy a book.

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You don't just get
to randomly put

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in a verb phrase, your
favorite verb phrase.

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It doesn't work that way.

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There are places where
there's more wiggle room

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and what counts is the same.

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So if I say "John dislikes
his father and Bill does too,"

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that can mean a couple
of different things.

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What's one thing it can mean?

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[INAUDIBLE]

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AUDIENCE: John and Bill
know each other somehow.

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And John dislikes his father.

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And Bill hangs out at
John's house too much

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and also dislikes John's father.

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NORVIN RICHARDS: Yeah, so
John dislikes John's father,

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and Bill also dislikes
John's father.

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It is, indeed, one
thing it can mean.

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What's another
thing it can mean?

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AUDIENCE: Bill dislikes
his own father.

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NORVIN RICHARDS: Yeah, John
dislikes his own father.

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And Bill dislikes
his own father.

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That's another
thing it can mean.

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So the same, what
counts is the same

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is an interesting
question-- yeah.

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AUDIENCE: Could it also,
depending on context,

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be that they both dislike
a third person's father?

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NORVIN RICHARDS: I think it
probably could, yeah, yeah,

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great.

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So Fred has a father
that everyone dislikes.

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John dislikes his father
and Bill does too--

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yeah.

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AUDIENCE: The first two
[INAUDIBLE] brothers.

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NORVIN RICHARDS: That's
true, that's true.

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But if they're not,
then they're not.

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Yes, no, you're
absolutely right.

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Yeah, yeah, so when I
say there's interesting

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stuff to talk about when we say
that they have to be the same.

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So if John dislikes John's
father and Bill dislikes Bill's

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father, are they
doing the same thing?

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Maybe, kind of.

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They're both engaged in
dislike of one's own father.

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Maybe that's what
makes it close enough.

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And so there's a big
literature on figuring out

00:09:37.990 --> 00:09:42.220 align:middle line:84%
how to define the same in the
relevant sense, which we won't

00:09:42.220 --> 00:09:43.458 align:middle line:90%
have to worry about too much.

00:09:43.458 --> 00:09:46.000 align:middle line:84%
But it's worth bearing in mind
that there's this requirement.

00:09:46.000 --> 00:09:48.550 align:middle line:84%
In fact, this requirement is
crucial for the argument I'm

00:09:48.550 --> 00:09:49.800 align:middle line:90%
going to give you in a second.

00:09:49.800 --> 00:09:52.020 align:middle line:90%


00:09:52.020 --> 00:09:54.865 align:middle line:90%
So back to the guards.

00:09:54.865 --> 00:09:56.490 align:middle line:84%
Remember this one,
"A guard is standing

00:09:56.490 --> 00:09:57.657 align:middle line:90%
in front of every building"?

00:09:57.657 --> 00:10:01.830 align:middle line:84%
We said this has two readings,
a normal reading where

00:10:01.830 --> 00:10:03.540 align:middle line:90%
every building is guarded.

00:10:03.540 --> 00:10:06.660 align:middle line:84%
And then you guys were very
creative with coming up

00:10:06.660 --> 00:10:08.880 align:middle line:84%
with other creative
versions of this

00:10:08.880 --> 00:10:10.950 align:middle line:84%
where a single guard
is somehow guarding

00:10:10.950 --> 00:10:12.810 align:middle line:90%
all the buildings at once.

00:10:12.810 --> 00:10:15.870 align:middle line:84%
Maybe there's one
very wide guard.

00:10:15.870 --> 00:10:18.597 align:middle line:84%
Maybe-- somebody was saying,
yeah, maybe the buildings

00:10:18.597 --> 00:10:19.680 align:middle line:90%
are all facing each other.

00:10:19.680 --> 00:10:23.700 align:middle line:84%
And one guard is standing in
the geometric center between all

00:10:23.700 --> 00:10:24.780 align:middle line:90%
the buildings, yeah.

00:10:24.780 --> 00:10:27.708 align:middle line:84%
Whatever, anyway, either
there are as many guards

00:10:27.708 --> 00:10:29.250 align:middle line:84%
as there are buildings,
which is kind

00:10:29.250 --> 00:10:31.830 align:middle line:84%
of the normal reading
for this sentence,

00:10:31.830 --> 00:10:33.750 align:middle line:84%
or there's one guard
who is standing

00:10:33.750 --> 00:10:35.950 align:middle line:84%
in front of every building,
the kind of guard who,

00:10:35.950 --> 00:10:39.640 align:middle line:84%
when he stands around the house,
he stands around the house.

00:10:39.640 --> 00:10:40.890 align:middle line:90%
So these are the two readings.

00:10:40.890 --> 00:10:44.160 align:middle line:90%


00:10:44.160 --> 00:10:46.590 align:middle line:84%
Now, let's think
about a sentence

00:10:46.590 --> 00:10:48.480 align:middle line:84%
like, "An American
guard is standing

00:10:48.480 --> 00:10:51.840 align:middle line:84%
in front of every building,
and a Canadian guard is too."

00:10:51.840 --> 00:10:55.230 align:middle line:90%


00:10:55.230 --> 00:10:59.340 align:middle line:84%
So the first half of that can
presumably mean two things.

00:10:59.340 --> 00:11:01.800 align:middle line:90%
Yeah, me neither.

00:11:01.800 --> 00:11:04.320 align:middle line:84%
There's one American
guard for each building,

00:11:04.320 --> 00:11:07.470 align:middle line:84%
or there's one very
wide American guard.

00:11:07.470 --> 00:11:08.970 align:middle line:84%
And the second half
of that sentence

00:11:08.970 --> 00:11:11.790 align:middle line:84%
can presumably also
mean two things

00:11:11.790 --> 00:11:13.900 align:middle line:90%
once you put in the ellipsis.

00:11:13.900 --> 00:11:16.450 align:middle line:84%
So can the whole thing
mean four things?

00:11:16.450 --> 00:11:19.330 align:middle line:90%


00:11:19.330 --> 00:11:21.860 align:middle line:90%
I don't think so.

00:11:21.860 --> 00:11:23.820 align:middle line:90%
In fact, it's not just me.

00:11:23.820 --> 00:11:26.250 align:middle line:84%
People who know much more
about semantics than I do

00:11:26.250 --> 00:11:27.180 align:middle line:90%
don't think so either.

00:11:27.180 --> 00:11:30.120 align:middle line:84%
So the four imaginable
readings, the easy ones are,

00:11:30.120 --> 00:11:33.420 align:middle line:84%
each building has two guards,
one American and one Canadian,

00:11:33.420 --> 00:11:36.240 align:middle line:84%
or there are two
very fat guards,

00:11:36.240 --> 00:11:39.440 align:middle line:90%
one American and one Canadian.

00:11:39.440 --> 00:11:43.790 align:middle line:84%
The other logical possibilities
where each building has

00:11:43.790 --> 00:11:46.040 align:middle line:84%
one normal American
guard and there

00:11:46.040 --> 00:11:50.850 align:middle line:84%
is one gigantic Canadian
guard, or the other way around,

00:11:50.850 --> 00:11:53.295 align:middle line:84%
I don't think it can
mean those things.

00:11:53.295 --> 00:11:54.920 align:middle line:84%
And some of you were
shaking your heads

00:11:54.920 --> 00:11:57.140 align:middle line:84%
in ways that suggested
that you agree with me.

00:11:57.140 --> 00:11:59.660 align:middle line:84%
Is there anybody for whom the
things I've crossed out they

00:11:59.660 --> 00:12:01.202 align:middle line:84%
were like, yes,
that's what it means.

00:12:01.202 --> 00:12:03.890 align:middle line:84%
What is wrong with
all of you people?

00:12:03.890 --> 00:12:11.780 align:middle line:84%
So this looks like a place where
the condition that's-- one way

00:12:11.780 --> 00:12:15.830 align:middle line:84%
of interpreting this is to say,
the condition that says when

00:12:15.830 --> 00:12:19.640 align:middle line:84%
you do VP ellipses, the
elided VP has to be the same

00:12:19.640 --> 00:12:24.110 align:middle line:84%
as another VP is kind of
constraining what we can do

00:12:24.110 --> 00:12:26.570 align:middle line:90%
in a particular way.

00:12:26.570 --> 00:12:28.640 align:middle line:84%
So, again, the ambiguity
in the first half

00:12:28.640 --> 00:12:31.490 align:middle line:84%
of this sentence we decided had
to do with whether you do QR

00:12:31.490 --> 00:12:32.510 align:middle line:90%
or not.

00:12:32.510 --> 00:12:35.120 align:middle line:84%
You can do QR of "every
building" to a position

00:12:35.120 --> 00:12:36.530 align:middle line:90%
above "an American guard."

00:12:36.530 --> 00:12:38.420 align:middle line:84%
And then you get
the normal reading,

00:12:38.420 --> 00:12:41.550 align:middle line:84%
every building has an
American guard in front of it.

00:12:41.550 --> 00:12:43.980 align:middle line:84%
Or you cannot do that, in
which case there has to be one

00:12:43.980 --> 00:12:46.650 align:middle line:84%
American guard who's standing
in front of every building.

00:12:46.650 --> 00:12:48.690 align:middle line:90%
And what we're learning is--

00:12:48.690 --> 00:12:50.820 align:middle line:84%
from crossing out the two
readings that I've just

00:12:50.820 --> 00:12:52.487 align:middle line:84%
crossed out, what we
seem to be learning

00:12:52.487 --> 00:12:55.350 align:middle line:84%
is if you do QR in the
first half of this sentence,

00:12:55.350 --> 00:12:57.432 align:middle line:84%
you have to also do
it in the second half.

00:12:57.432 --> 00:12:59.140 align:middle line:84%
And if you don't do
it in the first half,

00:12:59.140 --> 00:13:01.260 align:middle line:84%
you have to not do it
in the second half.

00:13:01.260 --> 00:13:02.490 align:middle line:90%
Does that make sense?

00:13:02.490 --> 00:13:04.980 align:middle line:84%
That is, you either
get the reading where

00:13:04.980 --> 00:13:08.040 align:middle line:84%
you did QR in both, each
building has two guards,

00:13:08.040 --> 00:13:10.080 align:middle line:84%
or the reading where
you did QR neither.

00:13:10.080 --> 00:13:11.640 align:middle line:90%
There are two gigantic guards.

00:13:11.640 --> 00:13:14.100 align:middle line:84%
You don't get the
mixed readings.

00:13:14.100 --> 00:13:16.530 align:middle line:84%
And we can think of
this as another instance

00:13:16.530 --> 00:13:20.370 align:middle line:84%
of this requirement that if
you're going to do VP ellipsis,

00:13:20.370 --> 00:13:25.440 align:middle line:84%
you're elided VP has to be
the same as your other VP.

00:13:25.440 --> 00:13:30.000 align:middle line:84%
So if you do QR in one, you have
to do QR on the other-- yeah.

00:13:30.000 --> 00:13:36.890 align:middle line:84%
OK, well this is kind of handy
because what it means is--

00:13:36.890 --> 00:13:40.220 align:middle line:84%
so if parallelism extends to QR,
if you do QR in one conjunct,

00:13:40.220 --> 00:13:41.720 align:middle line:90%
you have to do it in both.

00:13:41.720 --> 00:13:45.883 align:middle line:84%
What it means is, we now have
another way of detecting QR.

00:13:45.883 --> 00:13:48.050 align:middle line:84%
That is, we have a way of
finding out whether you're

00:13:48.050 --> 00:13:50.483 align:middle line:90%
doing QR in one clause.

00:13:50.483 --> 00:13:52.400 align:middle line:84%
And that goes beyond
just sitting and thinking

00:13:52.400 --> 00:13:54.770 align:middle line:90%
about what the sentence means.

00:13:54.770 --> 00:13:58.460 align:middle line:84%
So if we set up
this kind of context

00:13:58.460 --> 00:14:00.620 align:middle line:84%
where we've got VP
ellipses, we happen

00:14:00.620 --> 00:14:04.170 align:middle line:84%
to know that you can only
do QR in clause number one

00:14:04.170 --> 00:14:06.080 align:middle line:84%
if you do it in
clause number two.

00:14:06.080 --> 00:14:08.750 align:middle line:84%
And that means that if we have
a way of determining whether QR

00:14:08.750 --> 00:14:10.220 align:middle line:84%
is happening in
clause number one,

00:14:10.220 --> 00:14:13.460 align:middle line:84%
we'll know whether it's
happening in clause number two,

00:14:13.460 --> 00:14:14.900 align:middle line:90%
regardless of meaning.

00:14:14.900 --> 00:14:16.925 align:middle line:90%
Does that make sense?

00:14:16.925 --> 00:14:18.800 align:middle line:84%
This will be handy for
answering the question

00:14:18.800 --> 00:14:19.820 align:middle line:90%
that I posed earlier on.

00:14:19.820 --> 00:14:22.370 align:middle line:84%
So consider this sentence,
"John is standing

00:14:22.370 --> 00:14:24.970 align:middle line:90%
in front of every building."

00:14:24.970 --> 00:14:27.400 align:middle line:84%
Well, it's an odd
sentence, but it

00:14:27.400 --> 00:14:32.260 align:middle line:84%
doesn't matter whether you do
QR or not because "John" is not

00:14:32.260 --> 00:14:33.580 align:middle line:90%
a quantifier.

00:14:33.580 --> 00:14:36.400 align:middle line:90%
He's just some dude.

00:14:36.400 --> 00:14:40.413 align:middle line:84%
So QRing "every building" past
"John" won't change anything.

00:14:40.413 --> 00:14:41.830 align:middle line:84%
This sentence is
always just going

00:14:41.830 --> 00:14:44.450 align:middle line:84%
to mean every building
has this property.

00:14:44.450 --> 00:14:47.185 align:middle line:84%
If you look in front
of it, there is John.

00:14:47.185 --> 00:14:49.060 align:middle line:84%
That's the only thing
this sentence can mean,

00:14:49.060 --> 00:14:50.930 align:middle line:84%
doesn't matter whether
QR happens or not.

00:14:50.930 --> 00:14:52.930 align:middle line:84%
And so the question that
I posed for you earlier

00:14:52.930 --> 00:14:59.480 align:middle line:84%
was, if QR wouldn't change
anything, can it still happen?

00:14:59.480 --> 00:15:04.780 align:middle line:84%
And is QR-- in a way, our
lives might be easiest

00:15:04.780 --> 00:15:06.160 align:middle line:90%
if the answer was yes.

00:15:06.160 --> 00:15:08.080 align:middle line:84%
We would get to
say, QR is something

00:15:08.080 --> 00:15:09.970 align:middle line:90%
that just randomly happens.

00:15:09.970 --> 00:15:13.030 align:middle line:84%
You just always get to take
quantifiers and move them

00:15:13.030 --> 00:15:14.890 align:middle line:84%
to higher positions
just for fun.

00:15:14.890 --> 00:15:15.830 align:middle line:90%
This is what they do.

00:15:15.830 --> 00:15:18.033 align:middle line:90%
They move.

00:15:18.033 --> 00:15:20.200 align:middle line:84%
We're about to see, I think,
I already spoiled this,

00:15:20.200 --> 00:15:21.408 align:middle line:90%
that that's not how it works.

00:15:21.408 --> 00:15:23.800 align:middle line:84%
Actually, you can only do QR
if you have two quantifiers.

00:15:23.800 --> 00:15:26.690 align:middle line:84%
And you want to get one of them
to be higher than the other,

00:15:26.690 --> 00:15:29.140 align:middle line:84%
and if QR is going to
affect the meaning.

00:15:29.140 --> 00:15:31.370 align:middle line:84%
And I'm about to show you
the evidence for that--

00:15:31.370 --> 00:15:32.110 align:middle line:90%
yeah, Joseph.

00:15:32.110 --> 00:15:34.340 align:middle line:84%
AUDIENCE: What would be
the set operation here,

00:15:34.340 --> 00:15:37.240 align:middle line:84%
the building that John
is standing in front of?

00:15:37.240 --> 00:15:39.910 align:middle line:84%
NORVIN RICHARDS: So, yeah
right, so what are the sets?

00:15:39.910 --> 00:15:43.060 align:middle line:84%
So "every" is relating
the set of buildings,

00:15:43.060 --> 00:15:46.780 align:middle line:84%
so the set of things that
John is standing in front of.

00:15:46.780 --> 00:15:53.470 align:middle line:84%
And it's saying every member
of the set of buildings

00:15:53.470 --> 00:15:55.930 align:middle line:84%
is a member of the set
of things that John

00:15:55.930 --> 00:15:57.910 align:middle line:90%
is standing in front of.

00:15:57.910 --> 00:16:01.540 align:middle line:84%
So if you look at every
building in the set,

00:16:01.540 --> 00:16:03.920 align:middle line:84%
you will see John
standing in front of it.

00:16:03.920 --> 00:16:04.780 align:middle line:90%
That's what it says.

00:16:04.780 --> 00:16:08.260 align:middle line:84%
And it doesn't matter
whether you do QR or not.

00:16:08.260 --> 00:16:11.440 align:middle line:84%
Yep, so a question,
can you do QR?

00:16:11.440 --> 00:16:12.340 align:middle line:90%
Answer, no.

00:16:12.340 --> 00:16:16.595 align:middle line:84%
And here's how we
find out: "John

00:16:16.595 --> 00:16:19.095 align:middle line:84%
is standing in front of every
building, and a guard is too."

00:16:19.095 --> 00:16:21.907 align:middle line:90%


00:16:21.907 --> 00:16:23.740 align:middle line:84%
Now we have a way of
finding out whether you

00:16:23.740 --> 00:16:26.493 align:middle line:84%
can do QR in the first conjunct
because in the first half

00:16:26.493 --> 00:16:27.910 align:middle line:84%
of this sentence,
John is standing

00:16:27.910 --> 00:16:29.865 align:middle line:90%
in front of every building.

00:16:29.865 --> 00:16:31.740 align:middle line:84%
We can find out whether
QR is happening there

00:16:31.740 --> 00:16:35.130 align:middle line:84%
because we know that in
this kind of sentence

00:16:35.130 --> 00:16:37.440 align:middle line:84%
you can only do QR
in the first half

00:16:37.440 --> 00:16:40.170 align:middle line:84%
if you do QR in the second
half and vise versa.

00:16:40.170 --> 00:16:42.930 align:middle line:84%
And although it doesn't matter
whether you do QR or not

00:16:42.930 --> 00:16:46.290 align:middle line:84%
in the first half, it does
matter in the second half.

00:16:46.290 --> 00:16:48.000 align:middle line:84%
In the second half,
a guard is standing

00:16:48.000 --> 00:16:49.125 align:middle line:90%
in front of every building.

00:16:49.125 --> 00:16:50.640 align:middle line:90%
That's our core QR sentence.

00:16:50.640 --> 00:16:52.650 align:middle line:84%
We know that whether
you do QR or not changes

00:16:52.650 --> 00:16:55.750 align:middle line:90%
the meaning of the sentence.

00:16:55.750 --> 00:17:00.070 align:middle line:84%
If it were possible to do
QR in the first clause,

00:17:00.070 --> 00:17:05.160 align:middle line:84%
then the second clause would be
able to have a reading with QR.

00:17:05.160 --> 00:17:06.910 align:middle line:84%
It would be possible
for the second clause

00:17:06.910 --> 00:17:10.046 align:middle line:84%
to mean every building has
a guard in front of it,

00:17:10.046 --> 00:17:11.004 align:middle line:90%
maybe different guards.

00:17:11.004 --> 00:17:14.690 align:middle line:90%


00:17:14.690 --> 00:17:16.055 align:middle line:90%
Is that a reading it can have?

00:17:16.055 --> 00:17:22.230 align:middle line:90%


00:17:22.230 --> 00:17:24.140 align:middle line:90%
So I think if I say--

00:17:24.140 --> 00:17:26.690 align:middle line:84%
you're shaking your heads
appropriately, I think--

00:17:26.690 --> 00:17:28.970 align:middle line:84%
if I say "John is standing
in front of every building

00:17:28.970 --> 00:17:32.990 align:middle line:84%
and a guard is
too," that can only

00:17:32.990 --> 00:17:37.080 align:middle line:84%
mean that John and the
guard are both very large,

00:17:37.080 --> 00:17:40.020 align:middle line:84%
or both standing in
the geometric center

00:17:40.020 --> 00:17:43.110 align:middle line:84%
between the buildings that
are around [INAUDIBLE]..

00:17:43.110 --> 00:17:44.380 align:middle line:90%
It means one of those things.

00:17:44.380 --> 00:17:48.090 align:middle line:84%
It doesn't mean, for example,
there's one gigantic guard--

00:17:48.090 --> 00:17:50.850 align:middle line:84%
sorry, doesn't mean there's
John, who is gigantic,

00:17:50.850 --> 00:17:53.520 align:middle line:90%
and every building has a guard--

00:17:53.520 --> 00:17:57.000 align:middle line:90%
thank goodness because John--

00:17:57.000 --> 00:17:59.790 align:middle line:84%
somebody should keep an
eye on John, clearly.

00:17:59.790 --> 00:18:04.170 align:middle line:84%
It can't mean that, which is
kind of striking because that's

00:18:04.170 --> 00:18:05.925 align:middle line:84%
the normal meaning for
a guard to standing

00:18:05.925 --> 00:18:07.050 align:middle line:90%
in front of every building.

00:18:07.050 --> 00:18:08.850 align:middle line:84%
I mean, we're only
entertaining the reading

00:18:08.850 --> 00:18:12.450 align:middle line:84%
with the gigantic guard
because, well, we're

00:18:12.450 --> 00:18:14.010 align:middle line:90%
doing intro to linguistics.

00:18:14.010 --> 00:18:17.130 align:middle line:84%
And this requires us to
think about peculiar things.

00:18:17.130 --> 00:18:19.342 align:middle line:84%
But that meaning goes
away in this sentence.

00:18:19.342 --> 00:18:20.550 align:middle line:90%
The normal meaning goes away.

00:18:20.550 --> 00:18:22.848 align:middle line:90%
This sentence is odd--

00:18:22.848 --> 00:18:24.390 align:middle line:84%
odd not just in
the first conjunct,

00:18:24.390 --> 00:18:26.010 align:middle line:90%
but in the second conjunct.

00:18:26.010 --> 00:18:29.615 align:middle line:84%
And this requirement
of parallelism,

00:18:29.615 --> 00:18:30.990 align:middle line:84%
this requirement
that when you do

00:18:30.990 --> 00:18:36.120 align:middle line:84%
VP ellipsis you can only do
QR in one half of this clause

00:18:36.120 --> 00:18:40.350 align:middle line:84%
if you are doing it
also in the second half,

00:18:40.350 --> 00:18:42.060 align:middle line:84%
this is, as I said
before, giving us

00:18:42.060 --> 00:18:43.980 align:middle line:90%
a new detector for QR.

00:18:43.980 --> 00:18:48.420 align:middle line:84%
So we now-- in order to know
whether we can do QR in "John

00:18:48.420 --> 00:18:51.330 align:middle line:84%
is standing in front of every
building," we don't have to--

00:18:51.330 --> 00:18:54.810 align:middle line:84%
we already know that it doesn't
do any good to sit and stare

00:18:54.810 --> 00:18:57.300 align:middle line:84%
at that sentence and try to
think about what it would mean

00:18:57.300 --> 00:18:59.190 align:middle line:90%
if you did QR or if you didn't.

00:18:59.190 --> 00:19:01.080 align:middle line:90%
It doesn't change the meaning.

00:19:01.080 --> 00:19:03.330 align:middle line:84%
But now we have a
new detector for QR

00:19:03.330 --> 00:19:05.400 align:middle line:90%
besides staring at meanings.

00:19:05.400 --> 00:19:07.320 align:middle line:84%
We get to look at these
parallelism examples.

00:19:07.320 --> 00:19:10.950 align:middle line:84%
And what these teach us is,
yeah, you can, in fact, do QR.

00:19:10.950 --> 00:19:13.440 align:middle line:84%
And John is standing in
front of every building.

00:19:13.440 --> 00:19:17.760 align:middle line:84%
So cool fact, QR only happens
if it changes the meaning,

00:19:17.760 --> 00:19:19.260 align:middle line:84%
only happens if
it's going to invert

00:19:19.260 --> 00:19:20.970 align:middle line:90%
the scope of two quantifiers.

00:19:20.970 --> 00:19:24.030 align:middle line:90%


00:19:24.030 --> 00:19:32.380 align:middle line:84%
OK, that's it for
that bit about QR.

00:19:32.380 --> 00:19:34.180 align:middle line:84%
New bit about QR, and
then we're just about

00:19:34.180 --> 00:19:38.020 align:middle line:84%
done with QR I think, which
is also about VP ellipsis.

00:19:38.020 --> 00:19:42.070 align:middle line:84%
I want to show you one
other bit of an argument

00:19:42.070 --> 00:19:46.420 align:middle line:84%
that QR exists, that it is
a thing, that quantifiers

00:19:46.420 --> 00:19:47.260 align:middle line:90%
actually are moving.

00:19:47.260 --> 00:19:49.180 align:middle line:84%
There's a phrase
which is moving, just

00:19:49.180 --> 00:19:51.830 align:middle line:90%
in a way that you can't hear.

00:19:51.830 --> 00:19:54.280 align:middle line:84%
So there's a movement
operation that doesn't

00:19:54.280 --> 00:19:55.900 align:middle line:90%
change the order of the words.

00:19:55.900 --> 00:19:59.920 align:middle line:84%
I want to show you a new
bit of evidence for that.

00:19:59.920 --> 00:20:02.140 align:middle line:84%
This bit of evidence also
involves VP ellipsis.

00:20:02.140 --> 00:20:04.188 align:middle line:84%
So just again, to
remind you, VP ellipses,

00:20:04.188 --> 00:20:06.730 align:middle line:84%
these are cases like this, the
ones we've been talking about,

00:20:06.730 --> 00:20:09.220 align:middle line:84%
where you've got a verb
phrase that's missing.

00:20:09.220 --> 00:20:10.870 align:middle line:84%
And it's interpreted
as being the same

00:20:10.870 --> 00:20:12.110 align:middle line:90%
as another verb phrase.

00:20:12.110 --> 00:20:14.110 align:middle line:84%
So "John bought a
book and Mary did too"

00:20:14.110 --> 00:20:18.143 align:middle line:84%
means John bought a book
and Mary bought a book too.

00:20:18.143 --> 00:20:19.810 align:middle line:84%
And then there's this
identity condition

00:20:19.810 --> 00:20:22.090 align:middle line:84%
that says that
your elided VP has

00:20:22.090 --> 00:20:24.610 align:middle line:90%
to be the same as another VP.

00:20:24.610 --> 00:20:27.610 align:middle line:84%
So in this case, it
has to be "buy a book."

00:20:27.610 --> 00:20:29.320 align:middle line:84%
There's interesting
work on this actually

00:20:29.320 --> 00:20:32.560 align:middle line:84%
because there are
contexts where you

00:20:32.560 --> 00:20:36.280 align:middle line:84%
can elide a verb phrase
even though no one has

00:20:36.280 --> 00:20:38.690 align:middle line:90%
uttered another verb phrase.

00:20:38.690 --> 00:20:43.480 align:middle line:84%
So there's-- apparently there
were a pair of linguists who

00:20:43.480 --> 00:20:46.150 align:middle line:84%
used to demonstrate
this at conferences.

00:20:46.150 --> 00:20:48.580 align:middle line:84%
They gave a famous talk
in which one of them

00:20:48.580 --> 00:20:50.680 align:middle line:84%
advanced on the other
one with a meat cleaver.

00:20:50.680 --> 00:20:55.270 align:middle line:84%
And the other, his coauthor,
would say "Don't, don't!"

00:20:55.270 --> 00:20:57.970 align:middle line:90%
which involves VP ellipses.

00:20:57.970 --> 00:21:03.610 align:middle line:84%
And no one has uttered the VP
which he is trying to convey.

00:21:03.610 --> 00:21:06.370 align:middle line:84%
It's just clear from
context that what he means

00:21:06.370 --> 00:21:08.290 align:middle line:84%
is "Don't hit me
with a meat cleaver."

00:21:08.290 --> 00:21:11.465 align:middle line:90%


00:21:11.465 --> 00:21:13.090 align:middle line:84%
But anyway, in these
kinds of sentences

00:21:13.090 --> 00:21:15.100 align:middle line:84%
where there is
another verb phrase,

00:21:15.100 --> 00:21:16.510 align:middle line:90%
the identity condition shows up.

00:21:16.510 --> 00:21:18.218 align:middle line:84%
The two verb phrases
have to be the same.

00:21:18.218 --> 00:21:20.760 align:middle line:90%


00:21:20.760 --> 00:21:23.260 align:middle line:84%
Now, let me introduce you to
an interesting kind of example.

00:21:23.260 --> 00:21:25.390 align:middle line:84%
This is called
antecedent-contained deletion.

00:21:25.390 --> 00:21:28.300 align:middle line:84%
So let's think about sentences
like "John will visit

00:21:28.300 --> 00:21:29.740 align:middle line:90%
every city that Mary did."

00:21:29.740 --> 00:21:31.540 align:middle line:90%
So there's VP ellipsis here.

00:21:31.540 --> 00:21:34.450 align:middle line:84%
You can see after
"did," there's this gap.

00:21:34.450 --> 00:21:38.382 align:middle line:84%
What verb phrase are we
going to fill in for that?

00:21:38.382 --> 00:21:39.340 align:middle line:90%
Let's think about that.

00:21:39.340 --> 00:21:41.030 align:middle line:90%
I think I next show you a tree.

00:21:41.030 --> 00:21:41.890 align:middle line:90%
So here's a tree.

00:21:41.890 --> 00:21:44.140 align:middle line:84%
"John will visit every
city that Mary did."

00:21:44.140 --> 00:21:46.640 align:middle line:90%
There's a little blank there.

00:21:46.640 --> 00:21:51.220 align:middle line:84%
So that blank needs to be
the same as a verb phrase.

00:21:51.220 --> 00:21:55.633 align:middle line:84%
So we could fill in
that verb phrase.

00:21:55.633 --> 00:21:58.050 align:middle line:84%
But if we fill in that verb
phrase, what we'll end up with

00:21:58.050 --> 00:22:02.510 align:middle line:84%
is, "John will visit
every city that Mary--

00:22:02.510 --> 00:22:05.520 align:middle line:90%
visited every city that Mary--

00:22:05.520 --> 00:22:08.520 align:middle line:84%
visited every city
that Mary--" we

00:22:08.520 --> 00:22:12.000 align:middle line:84%
will never stop interpreting
this verb phrase.

00:22:12.000 --> 00:22:13.140 align:middle line:90%
Do people see that?

00:22:13.140 --> 00:22:15.750 align:middle line:84%
That's why it's called
antecedent-contained deletion.

00:22:15.750 --> 00:22:17.940 align:middle line:84%
There's an elided
verb phrase that's

00:22:17.940 --> 00:22:20.580 align:middle line:84%
contained in a verb
phrase that you

00:22:20.580 --> 00:22:23.160 align:middle line:84%
appear to have to copy into
the verb phrase that's missing.

00:22:23.160 --> 00:22:25.948 align:middle line:84%
And it's unclear why
you can never stop

00:22:25.948 --> 00:22:27.240 align:middle line:90%
thinking about these sentences.

00:22:27.240 --> 00:22:28.828 align:middle line:90%
Yeah, you ought to be stuck.

00:22:28.828 --> 00:22:30.870 align:middle line:84%
And yet we don't have the
sense that we are stuck

00:22:30.870 --> 00:22:31.740 align:middle line:90%
when we hear this sentence.

00:22:31.740 --> 00:22:33.532 align:middle line:84%
"John will visit every
city that Mary did."

00:22:33.532 --> 00:22:35.770 align:middle line:84%
You're like, yeah, I
know what that means.

00:22:35.770 --> 00:22:37.552 align:middle line:84%
So it's possible
that you're wrong.

00:22:37.552 --> 00:22:38.760 align:middle line:90%
You don't know what it means.

00:22:38.760 --> 00:22:40.800 align:middle line:90%
But that doesn't seem right.

00:22:40.800 --> 00:22:46.320 align:middle line:84%
Our intuition is that, yeah,
it's not hard to interpret.

00:22:46.320 --> 00:22:48.990 align:middle line:90%
If we believe in QR--

00:22:48.990 --> 00:22:50.280 align:middle line:90%
yeah, this way lies madness.

00:22:50.280 --> 00:22:52.500 align:middle line:84%
Yeah, so we can't interpret
the sentence this way.

00:22:52.500 --> 00:22:54.420 align:middle line:84%
Is this clear what
the problem is?

00:22:54.420 --> 00:22:57.770 align:middle line:90%


00:22:57.770 --> 00:23:01.840 align:middle line:84%
If there is such a thing as QR,
so we'll do quantifier raising,

00:23:01.840 --> 00:23:04.660 align:middle line:84%
we'll move that noun
phrase out of there.

00:23:04.660 --> 00:23:08.570 align:middle line:84%
Well, now there is a verb
phrase, "every city"--

00:23:08.570 --> 00:23:10.630 align:middle line:84%
so "Every city that Mary
did, John will visit."

00:23:10.630 --> 00:23:12.380 align:middle line:84%
Now there's a verb
phrase, visit,

00:23:12.380 --> 00:23:13.630 align:middle line:90%
that we're going to put there.

00:23:13.630 --> 00:23:17.710 align:middle line:84%
So it'll mean, Every city that
Mary visited, John will visit.

00:23:17.710 --> 00:23:21.420 align:middle line:84%
And that seems to
be what it means.

00:23:21.420 --> 00:23:24.870 align:middle line:84%
So it means John will visit
every city that Mary visited.

00:23:24.870 --> 00:23:26.700 align:middle line:84%
So here's another
reason to take seriously

00:23:26.700 --> 00:23:29.490 align:middle line:84%
the existence of
something like QR,

00:23:29.490 --> 00:23:34.080 align:middle line:84%
that is the idea that there
is an operation that moves

00:23:34.080 --> 00:23:37.740 align:middle line:84%
quantifiers out of the position
where they were and moves them

00:23:37.740 --> 00:23:39.810 align:middle line:84%
to some higher position,
in this case moves

00:23:39.810 --> 00:23:42.060 align:middle line:84%
a quantifier, like "Every
city that Mary did"

00:23:42.060 --> 00:23:43.500 align:middle line:90%
at least out of the verb phrase.

00:23:43.500 --> 00:23:47.850 align:middle line:84%
I attached it to the
TP, doesn't matter--

00:23:47.850 --> 00:23:50.700 align:middle line:90%
moves it out of the verb phrase.

00:23:50.700 --> 00:23:52.830 align:middle line:84%
It's what makes it possible
to interpret things

00:23:52.830 --> 00:23:54.870 align:middle line:84%
like antecedent-contained
deletion, which

00:23:54.870 --> 00:23:55.840 align:middle line:90%
seemed to exist.

00:23:55.840 --> 00:23:58.688 align:middle line:84%
And so we want an account
of why it can exist-- yeah.

00:23:58.688 --> 00:24:00.480 align:middle line:84%
AUDIENCE: Are we
allowing for [INAUDIBLE]??

00:24:00.480 --> 00:24:03.210 align:middle line:84%
NORVIN RICHARDS: I should have
drawn this tree differently.

00:24:03.210 --> 00:24:05.670 align:middle line:84%
One of the problems
with QR being invisible

00:24:05.670 --> 00:24:08.340 align:middle line:84%
is that it's kind of
hard to say what it looks

00:24:08.340 --> 00:24:09.930 align:middle line:90%
like after you did the move.

00:24:09.930 --> 00:24:12.060 align:middle line:84%
I'll try to fix this
before I put the slide up.

00:24:12.060 --> 00:24:13.727 align:middle line:84%
It would have worked
just as well for me

00:24:13.727 --> 00:24:18.030 align:middle line:84%
to create a new TP binary TP
node on top of a earlier TP

00:24:18.030 --> 00:24:18.630 align:middle line:90%
node.

00:24:18.630 --> 00:24:20.490 align:middle line:84%
So don't allow yourselves
to be distracted

00:24:20.490 --> 00:24:22.630 align:middle line:84%
by the ternary
branching in this slide.

00:24:22.630 --> 00:24:24.610 align:middle line:90%
I'll try to fix that.

00:24:24.610 --> 00:24:26.573 align:middle line:90%
Any other questions about this?

00:24:26.573 --> 00:24:27.990 align:middle line:84%
This is another
argument for this.

00:24:27.990 --> 00:24:31.050 align:middle line:90%


00:24:31.050 --> 00:24:34.860 align:middle line:84%
At this point, all I hope to
have done is to have gotten you

00:24:34.860 --> 00:24:38.520 align:middle line:84%
to be willing to entertain the
possibility that you would not

00:24:38.520 --> 00:24:41.310 align:middle line:84%
have to be crazy to believe in
the kind of movement that you

00:24:41.310 --> 00:24:42.210 align:middle line:90%
cannot see--

00:24:42.210 --> 00:24:42.750 align:middle line:90%
[SNEEZE]

00:24:42.750 --> 00:24:44.220 align:middle line:90%
Bless you.

00:24:44.220 --> 00:24:45.450 align:middle line:90%
There is a lot of work--

00:24:45.450 --> 00:24:45.950 align:middle line:90%
[SNEEZE]

00:24:45.950 --> 00:24:47.520 align:middle line:84%
--bless you-- on
covert movement,

00:24:47.520 --> 00:24:49.620 align:middle line:84%
so movements that
you cannot see,

00:24:49.620 --> 00:24:52.710 align:middle line:84%
developing tests for where
it goes, and where it lands,

00:24:52.710 --> 00:24:56.050 align:middle line:84%
and what drives it, and why
you don't get to see it.

00:24:56.050 --> 00:24:57.930 align:middle line:84%
It's one of the big
areas of linguistics,

00:24:57.930 --> 00:25:01.110 align:middle line:84%
trying to understand
what this is.

00:25:01.110 --> 00:25:02.860 align:middle line:84%
And if this is a topic
that interests you,

00:25:02.860 --> 00:25:05.850 align:middle line:84%
I encourage you to take
more linguistics classes.

00:25:05.850 --> 00:25:10.670 align:middle line:84%
This is a major topic,
something we work on.

00:25:10.670 --> 00:25:12.820 align:middle line:90%
So that's it for QR.

00:25:12.820 --> 00:25:14.800 align:middle line:84%
I'm not going to raise
any more quantifiers.

00:25:14.800 --> 00:25:16.390 align:middle line:84%
I'm going to show
you something else.

00:25:16.390 --> 00:25:17.890 align:middle line:84%
This will also be
about quantifiers,

00:25:17.890 --> 00:25:19.102 align:middle line:90%
but they will not be raising.

00:25:19.102 --> 00:25:21.310 align:middle line:84%
We'll be able to interpret
them right where they are.

00:25:21.310 --> 00:25:24.410 align:middle line:90%


00:25:24.410 --> 00:25:26.800 align:middle line:84%
Let's consider some
properties of quantifiers.

00:25:26.800 --> 00:25:30.580 align:middle line:84%
Some proper-- some
quantifiers have a property

00:25:30.580 --> 00:25:32.590 align:middle line:90%
which is of interest.

00:25:32.590 --> 00:25:35.620 align:middle line:84%
They are what's called
downward entailing.

00:25:35.620 --> 00:25:38.130 align:middle line:90%
What does that mean?

00:25:38.130 --> 00:25:40.500 align:middle line:84%
It's a fact about
these sentences,

00:25:40.500 --> 00:25:44.280 align:middle line:84%
so "No American smokes" and
"No American smokes cigars"--

00:25:44.280 --> 00:25:45.700 align:middle line:84%
first of all,
they're both false.

00:25:45.700 --> 00:25:47.760 align:middle line:84%
But if we think about
the entitlement relations

00:25:47.760 --> 00:25:51.490 align:middle line:84%
between them,
remember that we've

00:25:51.490 --> 00:25:57.170 align:middle line:84%
said what quantifiers do is
relate two sets to each other.

00:25:57.170 --> 00:25:59.380 align:middle line:84%
In this case, "No
American smokes"

00:25:59.380 --> 00:26:05.350 align:middle line:84%
relates the set of Americans to
the set of things that smoke.

00:26:05.350 --> 00:26:09.580 align:middle line:84%
And it says the intersection
of those is empty.

00:26:09.580 --> 00:26:14.225 align:middle line:84%
And the second sentence
relates the set of Americans

00:26:14.225 --> 00:26:15.850 align:middle line:84%
to the set of things
that smoke cigars.

00:26:15.850 --> 00:26:18.610 align:middle line:84%
And it says the intersection
of those things is empty.

00:26:18.610 --> 00:26:21.850 align:middle line:84%
And here's the thing,
the set of things

00:26:21.850 --> 00:26:27.430 align:middle line:84%
that smoke cigars is a subset
of the things that smokes.

00:26:27.430 --> 00:26:30.160 align:middle line:84%
If you smoke cigars,
then you smoke.

00:26:30.160 --> 00:26:32.530 align:middle line:84%
If you smoke, you don't
necessarily smoke cigars.

00:26:32.530 --> 00:26:37.060 align:middle line:84%
You might smoke something
else, cigarettes, say.

00:26:37.060 --> 00:26:39.610 align:middle line:84%
I feel weird talking to
undergrads about this

00:26:39.610 --> 00:26:42.730 align:middle line:84%
because this is all antiquated
technology presumably.

00:26:42.730 --> 00:26:44.260 align:middle line:84%
I assume none of
you smoke anything.

00:26:44.260 --> 00:26:47.830 align:middle line:84%
But, anyway, back in the day,
people smoked various things.

00:26:47.830 --> 00:26:51.370 align:middle line:90%


00:26:51.370 --> 00:26:54.220 align:middle line:84%
So now observation, there's
an entitlement relation

00:26:54.220 --> 00:26:55.550 align:middle line:90%
between these two sentences.

00:26:55.550 --> 00:26:56.920 align:middle line:90%
Which one entails the other?

00:26:56.920 --> 00:27:00.860 align:middle line:90%


00:27:00.860 --> 00:27:01.370 align:middle line:90%
Yes.

00:27:01.370 --> 00:27:02.930 align:middle line:84%
AUDIENCE: The first
entails the second.

00:27:02.930 --> 00:27:04.400 align:middle line:84%
NORVIN RICHARDS: Yeah, the
first entails the second.

00:27:04.400 --> 00:27:05.990 align:middle line:84%
If it's true that
no American smokes,

00:27:05.990 --> 00:27:08.810 align:middle line:84%
then it's true that no
Americans smoke cigars.

00:27:08.810 --> 00:27:10.700 align:middle line:84%
If it's true that no
Americans smoke cigars,

00:27:10.700 --> 00:27:13.070 align:middle line:84%
is it true that no
American smokes?

00:27:13.070 --> 00:27:13.680 align:middle line:90%
Maybe not.

00:27:13.680 --> 00:27:17.520 align:middle line:90%
Maybe they all smoke cigarettes.

00:27:17.520 --> 00:27:18.090 align:middle line:90%
OK, cool.

00:27:18.090 --> 00:27:20.040 align:middle line:84%
So this is a quantifier
that's what's

00:27:20.040 --> 00:27:21.210 align:middle line:90%
called downward entailing.

00:27:21.210 --> 00:27:25.950 align:middle line:84%
That is if you take the second
set and you make it smaller,

00:27:25.950 --> 00:27:30.180 align:middle line:84%
you switch to a subset, then
you get an entailment relation.

00:27:30.180 --> 00:27:32.610 align:middle line:84%
So the second set,
the set of smokers,

00:27:32.610 --> 00:27:34.110 align:middle line:84%
if we switch from
the set of smokers

00:27:34.110 --> 00:27:36.822 align:middle line:84%
to the set of smokers
of cigars, then we

00:27:36.822 --> 00:27:39.030 align:middle line:84%
get an entailment relation
between the two sentences.

00:27:39.030 --> 00:27:41.113 align:middle line:84%
If the first sentence is
true, the second sentence

00:27:41.113 --> 00:27:41.830 align:middle line:90%
has to be true.

00:27:41.830 --> 00:27:43.920 align:middle line:84%
That's a property of
the quantifier "no,"

00:27:43.920 --> 00:27:45.594 align:middle line:90%
that it's downward entailing.

00:27:45.594 --> 00:27:49.647 align:middle line:90%


00:27:49.647 --> 00:27:50.980 align:middle line:90%
I just said all that, thank you.

00:27:50.980 --> 00:27:52.720 align:middle line:84%
So first sentence
entails the second,

00:27:52.720 --> 00:27:55.470 align:middle line:84%
and the second sentence
does not entail the first.

00:27:55.470 --> 00:27:59.173 align:middle line:84%
Or to put it another way, if
we look at one of these Venn

00:27:59.173 --> 00:28:00.840 align:middle line:84%
diagrams, we've got
the set of Americans

00:28:00.840 --> 00:28:02.250 align:middle line:90%
and the set of smokers.

00:28:02.250 --> 00:28:05.910 align:middle line:84%
And "No American smokes" says
that the intersection of those

00:28:05.910 --> 00:28:07.830 align:middle line:90%
is empty.

00:28:07.830 --> 00:28:10.470 align:middle line:84%
There's the set
of cigar smokers.

00:28:10.470 --> 00:28:12.533 align:middle line:84%
And "No American
smokes cigars" says

00:28:12.533 --> 00:28:14.200 align:middle line:84%
that the intersection
of those is empty.

00:28:14.200 --> 00:28:15.757 align:middle line:84%
And if the first
of those is true,

00:28:15.757 --> 00:28:16.840 align:middle line:90%
the second has to be true.

00:28:16.840 --> 00:28:20.154 align:middle line:84%
And you can see by looking
at all the circles--

00:28:20.154 --> 00:28:23.170 align:middle line:90%
yeah, that's a Venn diagram.

00:28:23.170 --> 00:28:24.570 align:middle line:90%
So "no" is downward entailing.

00:28:24.570 --> 00:28:27.870 align:middle line:84%
That is, if it's
true that no A are B,

00:28:27.870 --> 00:28:30.660 align:middle line:84%
and if C is a
subset of B, then it

00:28:30.660 --> 00:28:37.290 align:middle line:90%
is also true that no A are C.

00:28:37.290 --> 00:28:41.790 align:middle line:84%
Yes, yes, yes-- is "every"
downward entailing?

00:28:41.790 --> 00:28:46.050 align:middle line:84%
So is it the case that
if every American smokes,

00:28:46.050 --> 00:28:49.800 align:middle line:84%
does it follow that every
American smokes cigars?

00:28:49.800 --> 00:28:51.240 align:middle line:90%
No.

00:28:51.240 --> 00:28:54.030 align:middle line:84%
so not all quantifiers
are downward entailing.

00:28:54.030 --> 00:28:56.265 align:middle line:84%
"No" is downward entailing,
but "every" is not.

00:28:56.265 --> 00:29:01.620 align:middle line:90%


00:29:01.620 --> 00:29:05.850 align:middle line:84%
In fact, is "every"
upward entailing?

00:29:05.850 --> 00:29:09.300 align:middle line:84%
That is, if it's true that
every American smokes--

00:29:09.300 --> 00:29:12.090 align:middle line:84%
sorry, if it's true that
every American smokes cigars,

00:29:12.090 --> 00:29:14.010 align:middle line:84%
is it true that every
American smokes?

00:29:14.010 --> 00:29:16.560 align:middle line:90%
Yeah.

00:29:16.560 --> 00:29:19.620 align:middle line:84%
So there are
downward-entailing quantifiers

00:29:19.620 --> 00:29:23.260 align:middle line:84%
and there are
upward-entailing quantifiers.

00:29:23.260 --> 00:29:24.987 align:middle line:84%
Now, why am I
telling you all this?

00:29:24.987 --> 00:29:26.570 align:middle line:84%
Partly just because
it's entertaining,

00:29:26.570 --> 00:29:32.910 align:middle line:84%
but also consider sentences
like "No one lifted a finger

00:29:32.910 --> 00:29:36.360 align:middle line:84%
to help," or "No one
contributed a red cent,"

00:29:36.360 --> 00:29:39.390 align:middle line:90%
or "No one saw anything."

00:29:39.390 --> 00:29:41.550 align:middle line:84%
These first two
sentences in particular

00:29:41.550 --> 00:29:43.810 align:middle line:90%
have literal meanings.

00:29:43.810 --> 00:29:47.970 align:middle line:84%
So the first sentence can
mean no one did this, and had

00:29:47.970 --> 00:29:49.060 align:middle line:90%
that somehow help.

00:29:49.060 --> 00:29:50.400 align:middle line:90%
It could mean that.

00:29:50.400 --> 00:29:52.890 align:middle line:84%
But it also has an
idiomatic meaning.

00:29:52.890 --> 00:29:56.040 align:middle line:84%
It's something like, nobody
did anything at all to help.

00:29:56.040 --> 00:29:58.487 align:middle line:84%
Nobody made the
least effort to help.

00:29:58.487 --> 00:29:59.820 align:middle line:90%
Similarly, the second sentence--

00:29:59.820 --> 00:30:01.600 align:middle line:84%
do people still use
this expression?--

00:30:01.600 --> 00:30:03.240 align:middle line:84%
It's an expression
people have heard,

00:30:03.240 --> 00:30:05.910 align:middle line:90%
no one contributed a red cent.

00:30:05.910 --> 00:30:08.850 align:middle line:84%
So it can mean
literally, nobody put

00:30:08.850 --> 00:30:12.600 align:middle line:84%
in a red penny, a penny
that had been painted red.

00:30:12.600 --> 00:30:16.290 align:middle line:84%
But it can also mean no one
contributed anything at all.

00:30:16.290 --> 00:30:18.120 align:middle line:90%
No one contributed any money.

00:30:18.120 --> 00:30:19.490 align:middle line:90%
And no one saw anything.

00:30:19.490 --> 00:30:21.210 align:middle line:84%
It means no one saw
anything, OK, cool.

00:30:21.210 --> 00:30:25.650 align:middle line:84%
Now, interesting fact about
these kinds of expressions,

00:30:25.650 --> 00:30:28.660 align:middle line:84%
they're picky about
where they can show up.

00:30:28.660 --> 00:30:31.110 align:middle line:84%
So you can say "No one
lifted a finger to help,"

00:30:31.110 --> 00:30:32.580 align:middle line:84%
or "No one contributed
a red cent,"

00:30:32.580 --> 00:30:34.020 align:middle line:90%
or "No one saw anything."

00:30:34.020 --> 00:30:38.750 align:middle line:84%
But you cannot say "Everyone
lifted a finger to help"

00:30:38.750 --> 00:30:41.000 align:middle line:84%
unless you mean the
literal meaning.

00:30:41.000 --> 00:30:46.020 align:middle line:84%
So can mean everyone in
unison like this helpfully,

00:30:46.020 --> 00:30:47.450 align:middle line:90%
it can mean that.

00:30:47.450 --> 00:30:50.660 align:middle line:84%
But it can't have the
idiomatic meaning.

00:30:50.660 --> 00:30:54.050 align:middle line:84%
It can't mean no
one did anything.

00:30:54.050 --> 00:30:55.760 align:middle line:84%
Ditto for the second
sentence, "Everyone

00:30:55.760 --> 00:30:56.802 align:middle line:90%
contributed a red cent"--

00:30:56.802 --> 00:30:58.220 align:middle line:84%
OK, maybe you ended
up with a pile

00:30:58.220 --> 00:30:59.600 align:middle line:84%
of pennies that
were painted red,

00:30:59.600 --> 00:31:01.970 align:middle line:84%
but it can't have the
idiomatic meaning.

00:31:01.970 --> 00:31:07.040 align:middle line:90%


00:31:07.040 --> 00:31:09.620 align:middle line:84%
So these kinds of
expressions, "lift a finger,"

00:31:09.620 --> 00:31:11.930 align:middle line:84%
and "a red cent,"
and "anything,"

00:31:11.930 --> 00:31:16.730 align:middle line:84%
have these funny constraints
on their distribution.

00:31:16.730 --> 00:31:20.690 align:middle line:84%
And so far, so
we've said that "no"

00:31:20.690 --> 00:31:24.710 align:middle line:84%
is downward entailing and that
"every" is upward entailing.

00:31:24.710 --> 00:31:28.040 align:middle line:84%
And so we could imagine various
ways of accounting for the fact

00:31:28.040 --> 00:31:29.390 align:middle line:90%
so far.

00:31:29.390 --> 00:31:33.050 align:middle line:84%
We could say, for example,
that these are expressions

00:31:33.050 --> 00:31:37.490 align:middle line:84%
that need to be near a
quantifier which is downward

00:31:37.490 --> 00:31:42.050 align:middle line:84%
entailing, or that they need to
not be near a quantifier which

00:31:42.050 --> 00:31:43.340 align:middle line:90%
is upward entailing.

00:31:43.340 --> 00:31:45.260 align:middle line:84%
So given the data
that we have so far,

00:31:45.260 --> 00:31:47.910 align:middle line:84%
"everything"-- both of those
would be stories we could tell.

00:31:47.910 --> 00:31:48.410 align:middle line:90%
Yes.

00:31:48.410 --> 00:31:51.420 align:middle line:90%


00:31:51.420 --> 00:31:54.060 align:middle line:84%
I'm sorry, I can tell we're
in the part of the semester

00:31:54.060 --> 00:31:56.280 align:middle line:90%
where everyone is tired.

00:31:56.280 --> 00:31:58.410 align:middle line:84%
And I've just assigned
you lots of things.

00:31:58.410 --> 00:32:00.340 align:middle line:90%
And also, I am talking too much.

00:32:00.340 --> 00:32:02.820 align:middle line:84%
So I should do
more standing here,

00:32:02.820 --> 00:32:05.760 align:middle line:84%
like allowing you to
put these things in.

00:32:05.760 --> 00:32:09.150 align:middle line:84%
So here, let me try to fix
that with this next slide.

00:32:09.150 --> 00:32:10.650 align:middle line:90%
Here are some quantifiers.

00:32:10.650 --> 00:32:14.520 align:middle line:90%


00:32:14.520 --> 00:32:16.650 align:middle line:90%
Here are some quantifiers.

00:32:16.650 --> 00:32:20.310 align:middle line:84%
"No," "every," "few," "a
few," "more than ten,"

00:32:20.310 --> 00:32:22.820 align:middle line:84%
"less than ten,"
and "exactly ten."

00:32:22.820 --> 00:32:23.700 align:middle line:90%
This is chalk.

00:32:23.700 --> 00:32:25.620 align:middle line:84%
I can tell that if I
use this piece of chalk,

00:32:25.620 --> 00:32:28.530 align:middle line:84%
I would be scratching
the board, which

00:32:28.530 --> 00:32:31.057 align:middle line:90%
will not be fun for anybody.

00:32:31.057 --> 00:32:33.390 align:middle line:84%
So we're going to figure out
which of these are downward

00:32:33.390 --> 00:32:34.950 align:middle line:90%
entailing.

00:32:34.950 --> 00:32:41.130 align:middle line:84%
And then we've got
"no" and "every," where

00:32:41.130 --> 00:32:44.640 align:middle line:84%
we know that "no" is downward
entailing and "every"

00:32:44.640 --> 00:32:45.822 align:middle line:90%
is not downward entailing.

00:32:45.822 --> 00:32:47.280 align:middle line:84%
I put this in the
same order-- then

00:32:47.280 --> 00:32:55.860 align:middle line:84%
we've got "few," and "a
few," and "more than ten,"

00:32:55.860 --> 00:32:59.010 align:middle line:84%
and "less than ten,"
and "exactly ten."

00:32:59.010 --> 00:33:05.760 align:middle line:84%
OK, cool-- now let us consult
our intuitions about this.

00:33:05.760 --> 00:33:09.600 align:middle line:90%
Is "few" downward entailing?

00:33:09.600 --> 00:33:12.510 align:middle line:84%
So what we're asking is, so for
to say that "no" is downward

00:33:12.510 --> 00:33:21.600 align:middle line:84%
entailing is to say that
"No Americans smoke" entails

00:33:21.600 --> 00:33:26.490 align:middle line:90%
"No Americans smoke cigars."

00:33:26.490 --> 00:33:33.543 align:middle line:90%


00:33:33.543 --> 00:33:35.960 align:middle line:84%
Let me just pause to allow you
to be thankful for the fact

00:33:35.960 --> 00:33:37.700 align:middle line:84%
that we live in
the age of slides

00:33:37.700 --> 00:33:39.950 align:middle line:84%
as opposed to the age--
which wasn't so long ago--

00:33:39.950 --> 00:33:42.603 align:middle line:84%
where my job would be to
write everything on the board.

00:33:42.603 --> 00:33:44.270 align:middle line:84%
And then your job
would be to write down

00:33:44.270 --> 00:33:45.608 align:middle line:90%
the things that I wrote.

00:33:45.608 --> 00:33:47.150 align:middle line:84%
Your lives are better
than they would

00:33:47.150 --> 00:33:50.330 align:middle line:90%
have been not so long ago.

00:33:50.330 --> 00:33:53.030 align:middle line:84%
Maybe my handwriting was
better back then, who knows.

00:33:53.030 --> 00:33:55.610 align:middle line:84%
So "no" is downward
entailing because it's true

00:33:55.610 --> 00:33:58.070 align:middle line:84%
that if no Americans
smoke, it must also be true

00:33:58.070 --> 00:33:59.660 align:middle line:90%
that no American smoke cigars.

00:33:59.660 --> 00:34:01.070 align:middle line:90%
How about "few"?

00:34:01.070 --> 00:34:03.740 align:middle line:84%
So what's the
relationship there?

00:34:03.740 --> 00:34:07.550 align:middle line:84%
If I say few Americans
smoke, does it

00:34:07.550 --> 00:34:10.790 align:middle line:84%
follow that few
Americans smoke cigars?

00:34:10.790 --> 00:34:13.040 align:middle line:90%
I think it does.

00:34:13.040 --> 00:34:16.790 align:middle line:84%
So "few"-- there's
a reason that when

00:34:16.790 --> 00:34:20.420 align:middle line:84%
we were talking
about sets, I was

00:34:20.420 --> 00:34:25.895 align:middle line:84%
careful to show you quantifiers
like "no," and "every,"

00:34:25.895 --> 00:34:26.929 align:middle line:90%
and "some."

00:34:26.929 --> 00:34:30.139 align:middle line:84%
"Few" is a little harder to
describe in terms of sets.

00:34:30.139 --> 00:34:33.050 align:middle line:84%
It's something like "The
intersection of these sets

00:34:33.050 --> 00:34:38.900 align:middle line:84%
has a small number of things
in it," something like that.

00:34:38.900 --> 00:34:40.380 align:middle line:90%
How about "a few"?

00:34:40.380 --> 00:34:43.699 align:middle line:84%
So if a few Americans
smoke, does it

00:34:43.699 --> 00:34:46.190 align:middle line:84%
have to be true that a few
Americans smoke cigars?

00:34:46.190 --> 00:34:46.699 align:middle line:90%
No.

00:34:46.699 --> 00:34:48.830 align:middle line:84%
Maybe there are a few
Americans who smoke.

00:34:48.830 --> 00:34:53.739 align:middle line:84%
And all of them smoke
hookahs or whatever--

00:34:53.739 --> 00:34:54.664 align:middle line:90%
yeah.

00:34:54.664 --> 00:34:57.290 align:middle line:84%
AUDIENCE: Would that not
also be true for "few"?

00:34:57.290 --> 00:34:58.320 align:middle line:90%
NORVIN RICHARDS: A few.

00:34:58.320 --> 00:35:00.780 align:middle line:84%
AUDIENCE: That few
Americans smoke,

00:35:00.780 --> 00:35:03.845 align:middle line:84%
that all the ones that
do smoke cigarettes.

00:35:03.845 --> 00:35:07.370 align:middle line:90%


00:35:07.370 --> 00:35:10.310 align:middle line:84%
NORVIN RICHARDS:
What do people think?

00:35:10.310 --> 00:35:15.470 align:middle line:84%
If I say "Few
Americans smoke," do we

00:35:15.470 --> 00:35:19.010 align:middle line:84%
get to conclude that few
Americans smoke cigars, or is

00:35:19.010 --> 00:35:23.660 align:middle line:84%
it possible that all of the
few Americans who smoke,

00:35:23.660 --> 00:35:25.426 align:middle line:90%
smoke something else?

00:35:25.426 --> 00:35:29.280 align:middle line:84%
Hmm, I'm going to put a
question mark next to "few"

00:35:29.280 --> 00:35:31.260 align:middle line:84%
because I think that's
a good question.

00:35:31.260 --> 00:35:33.000 align:middle line:84%
For "a few," I think
it's pretty clear

00:35:33.000 --> 00:35:35.580 align:middle line:84%
that the answer,
the answer is no.

00:35:35.580 --> 00:35:36.900 align:middle line:90%
This relation does not hold.

00:35:36.900 --> 00:35:39.580 align:middle line:90%


00:35:39.580 --> 00:35:41.650 align:middle line:90%
OK, how about "more than ten"?

00:35:41.650 --> 00:35:43.210 align:middle line:84%
So more than ten
Americans smoke.

00:35:43.210 --> 00:35:46.210 align:middle line:84%
Would it follow that more than
ten Americans smoke cigars?

00:35:46.210 --> 00:35:48.145 align:middle line:90%
No.

00:35:48.145 --> 00:35:50.380 align:middle line:90%
Was that a question--

00:35:50.380 --> 00:35:52.660 align:middle line:90%
just stretching, OK.

00:35:52.660 --> 00:35:54.460 align:middle line:84%
If less than ten
Americans smoke,

00:35:54.460 --> 00:35:56.860 align:middle line:84%
do less than ten
Americans smoke cigars?

00:35:56.860 --> 00:35:59.050 align:middle line:90%
Yes.

00:35:59.050 --> 00:36:00.790 align:middle line:84%
And if exactly ten
Americans smoke,

00:36:00.790 --> 00:36:02.470 align:middle line:84%
do exactly ten
Americans smoke cigars?

00:36:02.470 --> 00:36:04.513 align:middle line:90%
No, cool.

00:36:04.513 --> 00:36:05.180 align:middle line:90%
All right, good.

00:36:05.180 --> 00:36:08.050 align:middle line:90%
Let's see what the slide says.

00:36:08.050 --> 00:36:09.490 align:middle line:90%
Yeah, OK.

00:36:09.490 --> 00:36:12.650 align:middle line:84%
So for the slide, I ended up
claiming that "few" is downward

00:36:12.650 --> 00:36:13.150 align:middle line:90%
entailing.

00:36:13.150 --> 00:36:16.060 align:middle line:84%
It's interesting to think about
the case that you're raising.

00:36:16.060 --> 00:36:17.518 align:middle line:84%
Trying to figure
out what we think.

00:36:17.518 --> 00:36:19.800 align:middle line:90%


00:36:19.800 --> 00:36:21.430 align:middle line:90%
Doo, doo, doo, doo, doo--

00:36:21.430 --> 00:36:24.260 align:middle line:84%
now, oh yes, so now
having done that,

00:36:24.260 --> 00:36:29.480 align:middle line:84%
let's think about
these expressions.

00:36:29.480 --> 00:36:32.980 align:middle line:84%
So we've already said,
it's OK to say "No"--

00:36:32.980 --> 00:36:35.830 align:middle line:90%


00:36:35.830 --> 00:36:39.940 align:middle line:84%
let's see, "No
American did anything."

00:36:39.940 --> 00:36:43.127 align:middle line:90%


00:36:43.127 --> 00:36:44.710 align:middle line:84%
But expressions like
"anything," which

00:36:44.710 --> 00:36:47.260 align:middle line:84%
are weirdly sensitive to the
properties of the quantifiers

00:36:47.260 --> 00:36:49.120 align:middle line:84%
that are around
them, they want to be

00:36:49.120 --> 00:36:51.010 align:middle line:84%
near a downward
entailing-- maybe that's

00:36:51.010 --> 00:36:52.750 align:middle line:84%
one theory that we
could fool with-- they

00:36:52.750 --> 00:36:54.917 align:middle line:84%
want to be near something
that's downward entailing.

00:36:54.917 --> 00:36:58.810 align:middle line:84%
So I'll put a column
here for "anything."

00:36:58.810 --> 00:37:01.510 align:middle line:84%
And we've said that
"anything" is OK with "no,"

00:37:01.510 --> 00:37:03.490 align:middle line:90%
and it's bad with "every."

00:37:03.490 --> 00:37:07.720 align:middle line:84%
So "Every American did
anything," that's not possible.

00:37:07.720 --> 00:37:12.250 align:middle line:84%
How about "Few
Americans did anything"?

00:37:12.250 --> 00:37:13.860 align:middle line:90%
It's fine.

00:37:13.860 --> 00:37:17.280 align:middle line:84%
How about "A few
Americans did anything"?

00:37:17.280 --> 00:37:19.560 align:middle line:90%
No.

00:37:19.560 --> 00:37:22.215 align:middle line:84%
How about "More than 10
Americans did anything"?

00:37:22.215 --> 00:37:24.847 align:middle line:90%


00:37:24.847 --> 00:37:26.430 align:middle line:84%
"More than 10 Americans
did anything"?

00:37:26.430 --> 00:37:28.050 align:middle line:90%
No.

00:37:28.050 --> 00:37:30.240 align:middle line:84%
And then "Less than 10
Americans did anything"?

00:37:30.240 --> 00:37:33.210 align:middle line:90%


00:37:33.210 --> 00:37:35.600 align:middle line:90%
I think, yep.

00:37:35.600 --> 00:37:37.475 align:middle line:84%
"Exactly 10 Americans
did anything."

00:37:37.475 --> 00:37:41.987 align:middle line:90%


00:37:41.987 --> 00:37:44.070 align:middle line:84%
Some of you are shaking
your head, and some of you

00:37:44.070 --> 00:37:44.790 align:middle line:90%
are nodding.

00:37:44.790 --> 00:37:47.040 align:middle line:84%
"Exactly 10 Americans did
anything about the problem."

00:37:47.040 --> 00:37:52.110 align:middle line:90%


00:37:52.110 --> 00:37:53.735 align:middle line:90%
You're all wiggling at me.

00:37:53.735 --> 00:37:55.190 align:middle line:90%
[LAUGHS]

00:37:55.190 --> 00:38:04.080 align:middle line:84%
OK, so-- when I once taught
in a summer school in India,

00:38:04.080 --> 00:38:05.580 align:middle line:84%
there WAS a wonderful
summer school.

00:38:05.580 --> 00:38:07.367 align:middle line:84%
There all these
brilliant students.

00:38:07.367 --> 00:38:08.200 align:middle line:90%
It was really great.

00:38:08.200 --> 00:38:11.070 align:middle line:84%
We were in the foothills
of the Himalayas.

00:38:11.070 --> 00:38:13.020 align:middle line:90%
It was this gorgeous spot.

00:38:13.020 --> 00:38:16.358 align:middle line:84%
And I had a great time
teaching in the class

00:38:16.358 --> 00:38:17.400 align:middle line:90%
for all of these reasons.

00:38:17.400 --> 00:38:18.750 align:middle line:90%
Also, the food was wonderful.

00:38:18.750 --> 00:38:21.420 align:middle line:84%
Although whenever I said
that to the Indian students,

00:38:21.420 --> 00:38:25.200 align:middle line:84%
they would look at me
and smile because clearly

00:38:25.200 --> 00:38:26.820 align:middle line:84%
I had no idea what
good Indian food

00:38:26.820 --> 00:38:28.980 align:middle line:90%
was supposed to taste like.

00:38:28.980 --> 00:38:32.640 align:middle line:84%
But one of the fun things,
many fun things about teaching

00:38:32.640 --> 00:38:34.800 align:middle line:84%
there was that, as I said
to them at one point,

00:38:34.800 --> 00:38:37.980 align:middle line:84%
I come from a place where
we have several things we

00:38:37.980 --> 00:38:38.730 align:middle line:90%
do with our heads.

00:38:38.730 --> 00:38:43.110 align:middle line:84%
We can say, do "yes" with
them, and we can do "no."

00:38:43.110 --> 00:38:44.580 align:middle line:84%
And they did those
things in India.

00:38:44.580 --> 00:38:46.710 align:middle line:90%
But they also did this.

00:38:46.710 --> 00:38:49.125 align:middle line:84%
And I could never figure
out what they meant.

00:38:49.125 --> 00:38:50.610 align:middle line:90%
[LAUGHTER]

00:38:50.610 --> 00:38:53.580 align:middle line:84%
Sometimes they just
meant, wait, we

00:38:53.580 --> 00:38:55.950 align:middle line:90%
will think about that some more.

00:38:55.950 --> 00:38:59.270 align:middle line:84%
It seemed to be the
equivalent of "Hmm."

00:38:59.270 --> 00:39:04.692 align:middle line:84%
Anyway, OK, so these columns,
even taking my bad handwriting

00:39:04.692 --> 00:39:06.150 align:middle line:84%
into account, these
columns kind of

00:39:06.150 --> 00:39:09.360 align:middle line:84%
resemble each other
We have checks

00:39:09.360 --> 00:39:14.280 align:middle line:84%
and X's in more or
less the same places.

00:39:14.280 --> 00:39:18.930 align:middle line:84%
The one place where there
might be a difference

00:39:18.930 --> 00:39:20.910 align:middle line:90%
has to do with "Exactly ten."

00:39:20.910 --> 00:39:24.690 align:middle line:84%
So this was the place where
you were wiggling it at me.

00:39:24.690 --> 00:39:27.450 align:middle line:84%
"Exactly ten students did
anything about the problem."

00:39:27.450 --> 00:39:29.940 align:middle line:84%
"Exactly 10 students
lifted a finger to help."

00:39:29.940 --> 00:39:33.530 align:middle line:90%


00:39:33.530 --> 00:39:35.330 align:middle line:84%
What's another
example like this?

00:39:35.330 --> 00:39:36.170 align:middle line:90%
Oh, "ever."

00:39:36.170 --> 00:39:54.340 align:middle line:84%
Yeah, so "No one has ever
eaten nattoo with avocados."

00:39:54.340 --> 00:39:57.270 align:middle line:90%
It's not true.

00:39:57.270 --> 00:39:58.230 align:middle line:90%
This is fine.

00:39:58.230 --> 00:40:04.590 align:middle line:84%
But "Everyone has ever eaten
nattoo with avocados" is bad.

00:40:04.590 --> 00:40:06.165 align:middle line:90%
"Few people have ever eaten"--

00:40:06.165 --> 00:40:07.290 align:middle line:90%
blah, blah, blah-- is fine.

00:40:07.290 --> 00:40:09.180 align:middle line:90%
"A few people"-- no.

00:40:09.180 --> 00:40:11.190 align:middle line:84%
How about "Exactly
ten people have ever

00:40:11.190 --> 00:40:13.260 align:middle line:90%
eaten nattoo with avocados"?

00:40:13.260 --> 00:40:15.220 align:middle line:90%
I think that's OK.

00:40:15.220 --> 00:40:17.310 align:middle line:84%
It's interesting that
our intuitions about this

00:40:17.310 --> 00:40:22.110 align:middle line:84%
are kind of shaky,
caused us to wiggle.

00:40:22.110 --> 00:40:24.630 align:middle line:84%
Notice that this is the place
where these two quantifiers,

00:40:24.630 --> 00:40:28.890 align:middle line:84%
or these two columns stop
resembling each other quite so

00:40:28.890 --> 00:40:30.330 align:middle line:90%
closely.

00:40:30.330 --> 00:40:32.700 align:middle line:84%
Up until that last
line, you could get away

00:40:32.700 --> 00:40:35.970 align:middle line:84%
with thinking these
expressions, things like "ever,"

00:40:35.970 --> 00:40:38.500 align:middle line:84%
and "anything," and
"lift a finger,"

00:40:38.500 --> 00:40:40.500 align:middle line:84%
they are things that want
to be around something

00:40:40.500 --> 00:40:42.810 align:middle line:90%
that's downward entailing.

00:40:42.810 --> 00:40:44.880 align:middle line:84%
And those of you who were
shaking your heads when

00:40:44.880 --> 00:40:46.890 align:middle line:84%
I asked about
"Exactly ten Americans

00:40:46.890 --> 00:40:49.890 align:middle line:84%
did anything about this," you
should be proud of yourselves,

00:40:49.890 --> 00:40:52.540 align:middle line:84%
because your lives
are easy lives.

00:40:52.540 --> 00:40:54.120 align:middle line:90%
So that's bad.

00:40:54.120 --> 00:40:54.690 align:middle line:90%
This is bad.

00:40:54.690 --> 00:40:56.042 align:middle line:90%
Everything is good.

00:40:56.042 --> 00:40:57.750 align:middle line:84%
On the other hand, if
it's true that it's

00:40:57.750 --> 00:41:00.180 align:middle line:84%
possible to say things like
"Exactly ten people have ever

00:41:00.180 --> 00:41:05.250 align:middle line:84%
eaten nattoo with
avocados," then yeah,

00:41:05.250 --> 00:41:08.670 align:middle line:84%
there's something
else going on here.

00:41:08.670 --> 00:41:12.520 align:middle line:84%
If we do the same exercise
for upward entailing--

00:41:12.520 --> 00:41:15.080 align:middle line:90%
I won't make you do it--

00:41:15.080 --> 00:41:18.200 align:middle line:84%
what you can see is that
the upward-entailing column

00:41:18.200 --> 00:41:21.840 align:middle line:84%
is almost the mirror image of
the downward-entailing column,

00:41:21.840 --> 00:41:23.420 align:middle line:90%
but not quite.

00:41:23.420 --> 00:41:27.860 align:middle line:84%
So "Exactly ten" is the
one where they split.

00:41:27.860 --> 00:41:31.820 align:middle line:84%
So upward entailing, again,
what we're asking is--

00:41:31.820 --> 00:41:36.260 align:middle line:84%
if I say-- so we can
do it first with "no":

00:41:36.260 --> 00:41:40.040 align:middle line:90%
"No American smokes cigars."

00:41:40.040 --> 00:41:42.950 align:middle line:90%


00:41:42.950 --> 00:41:46.100 align:middle line:84%
Would it follow from that
that no American smokes?

00:41:46.100 --> 00:41:49.050 align:middle line:90%
For "no," the answer is no.

00:41:49.050 --> 00:41:52.880 align:middle line:84%
So no, it is not
upward entailing.

00:41:52.880 --> 00:41:55.460 align:middle line:84%
"Every" is upward entailing
because if every American

00:41:55.460 --> 00:41:58.760 align:middle line:84%
smokes cigars, it's also true
that every American smokes.

00:41:58.760 --> 00:42:03.710 align:middle line:84%
If exactly ten
Americans smoke cigars,

00:42:03.710 --> 00:42:06.470 align:middle line:84%
does it follow that exactly
ten Americans smoke?

00:42:06.470 --> 00:42:07.760 align:middle line:90%
No.

00:42:07.760 --> 00:42:11.580 align:middle line:84%
So there could be a few more
that smoke other things.

00:42:11.580 --> 00:42:15.500 align:middle line:84%
So "exactly ten" is unlike
all the other quantifiers

00:42:15.500 --> 00:42:18.230 align:middle line:84%
in this list, in that it is
neither downward entailing nor

00:42:18.230 --> 00:42:20.150 align:middle line:90%
upward entailing.

00:42:20.150 --> 00:42:23.030 align:middle line:84%
And if we ask, does
it license an NPI,

00:42:23.030 --> 00:42:26.720 align:middle line:90%
the answer is kind of wiggly.

00:42:26.720 --> 00:42:30.700 align:middle line:84%
So this is a place where we
might wonder whether license--

00:42:30.700 --> 00:42:34.670 align:middle line:84%
I think I led us into this
when I first introduced you

00:42:34.670 --> 00:42:36.830 align:middle line:84%
to these expressions--
sorry, NPI

00:42:36.830 --> 00:42:41.900 align:middle line:84%
is short for negative
polarity item.

00:42:41.900 --> 00:42:44.760 align:middle line:90%


00:42:44.760 --> 00:42:49.010 align:middle line:84%
These are these expressions,
like "anything," or "ever,"

00:42:49.010 --> 00:42:52.190 align:middle line:84%
or "lift a finger," which
are sensitive to the nature

00:42:52.190 --> 00:42:54.650 align:middle line:84%
of the quantifiers
that are around them.

00:42:54.650 --> 00:42:57.347 align:middle line:84%
And tables like this are
the kind of thing people

00:42:57.347 --> 00:42:59.930 align:middle line:84%
construct when they're trying
to figure out exactly what is it

00:42:59.930 --> 00:43:02.510 align:middle line:90%
that they're sensitive to.

00:43:02.510 --> 00:43:05.510 align:middle line:84%
Do the want to be near something
downward entailing, that's

00:43:05.510 --> 00:43:08.600 align:middle line:84%
one popular theory,
or is it maybe they

00:43:08.600 --> 00:43:10.550 align:middle line:84%
want to avoid being
near something

00:43:10.550 --> 00:43:12.770 align:middle line:90%
which is upward entailing?

00:43:12.770 --> 00:43:15.410 align:middle line:84%
And those are almost
the same thing,

00:43:15.410 --> 00:43:17.960 align:middle line:84%
as you can see in those first
two columns, but not quite.

00:43:17.960 --> 00:43:19.940 align:middle line:84%
Quantifiers like "exactly
ten" are helpful.

00:43:19.940 --> 00:43:22.410 align:middle line:84%
Janice, Janice has
worked on this.

00:43:22.410 --> 00:43:23.660 align:middle line:90%
AUDIENCE: [INAUDIBLE].

00:43:23.660 --> 00:43:25.307 align:middle line:84%
There was an observation
that I wanted

00:43:25.307 --> 00:43:26.640 align:middle line:90%
to make about the "exactly ten."

00:43:26.640 --> 00:43:28.108 align:middle line:90%
NORVIN RICHARDS: Yeah.

00:43:28.108 --> 00:43:30.525 align:middle line:84%
AUDIENCE: But it seems to me
that if you created a context

00:43:30.525 --> 00:43:34.660 align:middle line:84%
where you said, when you
put out a call for 100

00:43:34.660 --> 00:43:38.400 align:middle line:84%
people, volunteers, and
exactly ten [INAUDIBLE],,

00:43:38.400 --> 00:43:43.680 align:middle line:84%
something like that, versus put
out a call for ten volunteers,

00:43:43.680 --> 00:43:45.220 align:middle line:90%
it seems like that works better.

00:43:45.220 --> 00:43:47.970 align:middle line:84%
But if you say, you put out
a call for ten volunteers,

00:43:47.970 --> 00:43:51.660 align:middle line:84%
exactly ten did anything, then
it seems like it doesn't-- it

00:43:51.660 --> 00:43:52.440 align:middle line:90%
gets worse.

00:43:52.440 --> 00:43:53.970 align:middle line:84%
NORVIN RICHARDS: I
think I get that.

00:43:53.970 --> 00:43:55.360 align:middle line:90%
Does everybody get that?

00:43:55.360 --> 00:43:58.170 align:middle line:84%
So those are-- that's
a nice example, thanks.

00:43:58.170 --> 00:44:00.570 align:middle line:84%
So what you're pointing
out is that it's

00:44:00.570 --> 00:44:03.240 align:middle line:84%
helpful for the exactly
ten to be explicitly

00:44:03.240 --> 00:44:07.410 align:middle line:84%
a subset of another set that
we've got hanging around

00:44:07.410 --> 00:44:09.540 align:middle line:90%
or something like that.

00:44:09.540 --> 00:44:14.910 align:middle line:84%
It's a partitive expression of
some kind maybe, cool, cool--

00:44:14.910 --> 00:44:15.570 align:middle line:90%
yeah.

00:44:15.570 --> 00:44:17.028 align:middle line:84%
AUDIENCE: So in
that case, could we

00:44:17.028 --> 00:44:19.260 align:middle line:84%
say that "exactly ten"
only behaves in that way

00:44:19.260 --> 00:44:22.620 align:middle line:84%
when exactly could be
replaced with only?

00:44:22.620 --> 00:44:27.050 align:middle line:84%
NORVIN RICHARDS:
Ah, well, let's see.

00:44:27.050 --> 00:44:29.510 align:middle line:84%
That's a nice way
to think about it.

00:44:29.510 --> 00:44:32.470 align:middle line:84%
So the point about
"exactly ten," isn't it,

00:44:32.470 --> 00:44:34.270 align:middle line:84%
is that in those
kinds of contexts

00:44:34.270 --> 00:44:36.640 align:middle line:84%
is that this was
true of ten of them,

00:44:36.640 --> 00:44:43.580 align:middle line:84%
but not of the others,
something like that, yeah.

00:44:43.580 --> 00:44:46.520 align:middle line:84%
And so maybe that is the
way to think about it.

00:44:46.520 --> 00:44:48.320 align:middle line:84%
"Only" is another
interesting expression

00:44:48.320 --> 00:44:51.470 align:middle line:84%
to think about here,
maybe, but let's not, yeah.

00:44:51.470 --> 00:44:55.820 align:middle line:90%


00:44:55.820 --> 00:45:02.810 align:middle line:84%
Cool, so especially if we
take Janice's suggestion

00:45:02.810 --> 00:45:10.250 align:middle line:84%
and securely think of "exactly
ten" as being OK with anything,

00:45:10.250 --> 00:45:15.928 align:middle line:84%
being the thing which stands
out here in this last row, then

00:45:15.928 --> 00:45:17.720 align:middle line:84%
maybe we want to think
of these expressions

00:45:17.720 --> 00:45:20.270 align:middle line:84%
as expressions that want to be
in a context that's not upward

00:45:20.270 --> 00:45:20.960 align:middle line:90%
entailing.

00:45:20.960 --> 00:45:23.580 align:middle line:90%
That's a move people make.

00:45:23.580 --> 00:45:26.000 align:middle line:84%
I can tell you that as
you go through life,

00:45:26.000 --> 00:45:29.360 align:middle line:84%
if you interact with linguists
and they are not semanticists,

00:45:29.360 --> 00:45:32.180 align:middle line:84%
they will often tell you
that these are expressions,

00:45:32.180 --> 00:45:35.218 align:middle line:84%
things like "lift a finger," and
"a red cent," and "anything,"

00:45:35.218 --> 00:45:37.010 align:middle line:84%
and "ever," that these
are expressions that

00:45:37.010 --> 00:45:39.740 align:middle line:84%
need to be in a
downward-entailing context,

00:45:39.740 --> 00:45:41.690 align:middle line:84%
because it's almost
true, and it's

00:45:41.690 --> 00:45:44.540 align:middle line:84%
shorter than a
non-upward-entailing context.

00:45:44.540 --> 00:45:46.400 align:middle line:84%
But it's arguably
not quite true.

00:45:46.400 --> 00:45:49.220 align:middle line:84%
This is maybe closer to
what these things mean.

00:45:49.220 --> 00:45:53.280 align:middle line:90%


00:45:53.280 --> 00:45:56.980 align:middle line:90%
OK, how about these expressions?

00:45:56.980 --> 00:46:04.590 align:middle line:84%
So if I say "John saw
anything," or "John contributed

00:46:04.590 --> 00:46:07.170 align:middle line:84%
a red cent," or "John
lifted a finger to help,"

00:46:07.170 --> 00:46:07.992 align:middle line:90%
these are all bad.

00:46:07.992 --> 00:46:09.450 align:middle line:84%
And maybe that's
not so surprising.

00:46:09.450 --> 00:46:10.875 align:middle line:90%
John isn't a quantifier at all.

00:46:10.875 --> 00:46:16.680 align:middle line:90%


00:46:16.680 --> 00:46:24.210 align:middle line:84%
And in particular, if
we ask, if we pretended

00:46:24.210 --> 00:46:25.980 align:middle line:84%
that John was a
quantifier, I guess,

00:46:25.980 --> 00:46:31.752 align:middle line:84%
if we ask is "John"
upward entailing,

00:46:31.752 --> 00:46:33.210 align:middle line:84%
I guess there's a
sense in which he

00:46:33.210 --> 00:46:37.935 align:middle line:84%
is, if "John smokes cigars"
entails that John smokes.

00:46:37.935 --> 00:46:40.680 align:middle line:90%


00:46:40.680 --> 00:46:44.340 align:middle line:84%
But consider sentences
like the first ones.

00:46:44.340 --> 00:46:45.870 align:middle line:84%
"John didn't lift
a finger to help."

00:46:45.870 --> 00:46:47.495 align:middle line:84%
Or "John didn't
contribute a red cent."

00:46:47.495 --> 00:46:48.852 align:middle line:90%
Or "John didn't see anything."

00:46:48.852 --> 00:46:50.310 align:middle line:84%
What we're seeing
here is that it's

00:46:50.310 --> 00:46:54.090 align:middle line:84%
possible to license those
expressions not necessarily

00:46:54.090 --> 00:46:56.310 align:middle line:84%
with the quantifier,
but with this negation.

00:46:56.310 --> 00:46:58.860 align:middle line:84%
The negation is another kind
of thing that makes these OK.

00:46:58.860 --> 00:47:02.340 align:middle line:84%
That's the reason that they are
called negative polarity items.

00:47:02.340 --> 00:47:03.390 align:middle line:90%
It's because this is--

00:47:03.390 --> 00:47:04.920 align:middle line:84%
the first observation
about them,

00:47:04.920 --> 00:47:08.010 align:middle line:84%
that they were things that
were OK in negative sentences

00:47:08.010 --> 00:47:10.223 align:middle line:84%
but usually bad in
positive sentences.

00:47:10.223 --> 00:47:11.640 align:middle line:84%
Then people were
like, wait, there

00:47:11.640 --> 00:47:14.310 align:middle line:84%
are some quantifiers that
can license them too.

00:47:14.310 --> 00:47:15.887 align:middle line:90%
People were [INAUDIBLE].

00:47:15.887 --> 00:47:18.690 align:middle line:90%


00:47:18.690 --> 00:47:24.310 align:middle line:84%
Yes, great, so if John
smokes cigars, that does

00:47:24.310 --> 00:47:25.810 align:middle line:90%
entail that John smokes.

00:47:25.810 --> 00:47:27.820 align:middle line:84%
But if John doesn't
smoke cigars,

00:47:27.820 --> 00:47:31.180 align:middle line:84%
that no longer entails
that John doesn't smoke.

00:47:31.180 --> 00:47:32.680 align:middle line:84%
If John doesn't
smoke cigars, it's

00:47:32.680 --> 00:47:35.800 align:middle line:84%
possible that he does
smoke, just not cigars.

00:47:35.800 --> 00:47:39.980 align:middle line:84%
So what negation does is create
a non-upward-entailing context,

00:47:39.980 --> 00:47:44.220 align:middle line:84%
which is what these
quantifiers want.

00:47:44.220 --> 00:47:46.670 align:middle line:84%
So these expressions are what
are called negative polarity

00:47:46.670 --> 00:47:47.170 align:middle line:90%
items.

00:47:47.170 --> 00:47:50.280 align:middle line:84%
They need to be in a
non-upward-entailing context.

00:47:50.280 --> 00:47:52.820 align:middle line:84%
And this has just been another
example of the kind of thing

00:47:52.820 --> 00:47:54.350 align:middle line:90%
that people work on.

00:47:54.350 --> 00:47:56.990 align:middle line:84%
If you are looking
around for things

00:47:56.990 --> 00:47:59.720 align:middle line:84%
to work on for your final paper,
for your field work paper,

00:47:59.720 --> 00:48:01.760 align:middle line:84%
this is the kind of thing
you can go look for.

00:48:01.760 --> 00:48:03.620 align:middle line:90%
Most languages have NPIs.

00:48:03.620 --> 00:48:06.410 align:middle line:84%
So you could spend some time
asking about how to say things

00:48:06.410 --> 00:48:09.973 align:middle line:84%
like "He didn't do
anything," and finding out

00:48:09.973 --> 00:48:11.390 align:middle line:84%
what kinds of
expressions you use.

00:48:11.390 --> 00:48:14.450 align:middle line:84%
So that's the kind of
thing you could do.

00:48:14.450 --> 00:48:15.810 align:middle line:90%
Questions about any of this?

00:48:15.810 --> 00:48:18.020 align:middle line:90%
Yes.

00:48:18.020 --> 00:48:21.278 align:middle line:90%
AUDIENCE: So [INAUDIBLE].

00:48:21.278 --> 00:48:26.922 align:middle line:84%
About "less than ten," so "less
than ten people [INAUDIBLE]."."

00:48:26.922 --> 00:48:28.630 align:middle line:84%
NORVIN RICHARDS: I'm
sorry, say it again.

00:48:28.630 --> 00:48:30.160 align:middle line:84%
AUDIENCE: So "less
than ten people

00:48:30.160 --> 00:48:32.140 align:middle line:90%
did anything [INAUDIBLE]."

00:48:32.140 --> 00:48:36.440 align:middle line:84%
But what about "less than 10
billion people did anything?"

00:48:36.440 --> 00:48:39.530 align:middle line:84%
NORVIN RICHARDS: "Less than ren
billion people did anything."

00:48:39.530 --> 00:48:40.340 align:middle line:90%
[SNEEZE]

00:48:40.340 --> 00:48:40.910 align:middle line:90%
Bless you.

00:48:40.910 --> 00:48:45.020 align:middle line:90%


00:48:45.020 --> 00:48:47.030 align:middle line:84%
Maybe-- so I don't know,
what do the rest of you

00:48:47.030 --> 00:48:47.738 align:middle line:90%
think about that?

00:48:47.738 --> 00:48:49.390 align:middle line:84%
Is that a-- is that
an odd sentence?

00:48:49.390 --> 00:48:50.360 align:middle line:90%
Joseph.

00:48:50.360 --> 00:48:53.450 align:middle line:84%
AUDIENCE: I think if we are
able to imagine a world where

00:48:53.450 --> 00:48:58.280 align:middle line:84%
there's trillions of people and
you colonize the entire galaxy,

00:48:58.280 --> 00:49:00.715 align:middle line:84%
and then some massive
disaster happens,

00:49:00.715 --> 00:49:03.620 align:middle line:84%
and one little planet
of ten billion people

00:49:03.620 --> 00:49:07.160 align:middle line:84%
signs up to help, then
maybe that's [INAUDIBLE]..

00:49:07.160 --> 00:49:10.025 align:middle line:84%
NORVIN RICHARDS:
Yeah, so I wonder

00:49:10.025 --> 00:49:12.650 align:middle line:84%
whether this has to do with the
conditions under which it makes

00:49:12.650 --> 00:49:18.330 align:middle line:84%
sense to use an expression like
"less than ten billion people."

00:49:18.330 --> 00:49:23.390 align:middle line:84%
So the way things are right now,
"less than ten billion people"

00:49:23.390 --> 00:49:27.570 align:middle line:84%
would be, well, all the
people that there are.

00:49:27.570 --> 00:49:30.590 align:middle line:84%
And so this is connected
to other questions

00:49:30.590 --> 00:49:34.460 align:middle line:84%
about pragmatics,
which we have skipped

00:49:34.460 --> 00:49:38.330 align:middle line:84%
and will continue
to skip, about which

00:49:38.330 --> 00:49:44.360 align:middle line:84%
quantifiers you will use under
which kinds of circumstances.

00:49:44.360 --> 00:49:46.890 align:middle line:84%
So there's work on
the fact, for example,

00:49:46.890 --> 00:49:54.440 align:middle line:84%
that if I say something like
"Mary ate some of the cookies,"

00:49:54.440 --> 00:49:56.780 align:middle line:84%
that you are inclined
to interpret that

00:49:56.780 --> 00:50:00.380 align:middle line:84%
as meaning that she ate some
of them, but not all of them.

00:50:00.380 --> 00:50:02.340 align:middle line:84%
So if I say "Mary ate
some of the cookies,"

00:50:02.340 --> 00:50:03.470 align:middle line:84%
and then you go
over and discover

00:50:03.470 --> 00:50:05.000 align:middle line:84%
that the plate of
cookies is empty,

00:50:05.000 --> 00:50:08.660 align:middle line:84%
you have a tendency
to be discouraged.

00:50:08.660 --> 00:50:15.513 align:middle line:84%
But if "some" just
means the set of,

00:50:15.513 --> 00:50:16.805 align:middle line:90%
"Mary ate some of the cookies."

00:50:16.805 --> 00:50:25.190 align:middle line:90%


00:50:25.190 --> 00:50:30.470 align:middle line:84%
If "some" just establishes a
relation between the cookies

00:50:30.470 --> 00:50:34.190 align:middle line:84%
and the things that
Mary ate and says,

00:50:34.190 --> 00:50:37.310 align:middle line:84%
the set of cookies and the set
of things that Mary ate has

00:50:37.310 --> 00:50:39.350 align:middle line:84%
a nonempty intersection,
if that's all it

00:50:39.350 --> 00:50:41.608 align:middle line:84%
means, then if Mary
ate all of the cookies,

00:50:41.608 --> 00:50:42.650 align:middle line:90%
then this should be true.

00:50:42.650 --> 00:50:45.270 align:middle line:90%


00:50:45.270 --> 00:50:47.270 align:middle line:84%
And there are two things
we could do about that.

00:50:47.270 --> 00:50:49.730 align:middle line:84%
One would be to say, well, we
need a different definition

00:50:49.730 --> 00:50:53.180 align:middle line:84%
of "some" then, because that's
not our reaction if it turns

00:50:53.180 --> 00:50:54.762 align:middle line:90%
out she ate all of the cookies.

00:50:54.762 --> 00:50:56.720 align:middle line:84%
But there's another move
that people standardly

00:50:56.720 --> 00:50:59.090 align:middle line:84%
make, which is to
say, if "I say Mary

00:50:59.090 --> 00:51:02.070 align:middle line:84%
ate some of the cookies," what
you do is you listen to me

00:51:02.070 --> 00:51:02.570 align:middle line:90%
say that,

00:51:02.570 --> 00:51:06.050 align:middle line:84%
and you mentally bear in mind
the fact that I said "some,"

00:51:06.050 --> 00:51:09.230 align:middle line:90%
and I didn't say "all."

00:51:09.230 --> 00:51:11.090 align:middle line:84%
And you're thinking
about other kinds

00:51:11.090 --> 00:51:13.310 align:middle line:90%
of things I could have said.

00:51:13.310 --> 00:51:17.330 align:middle line:84%
And if I had said "all," I
would have been, in a sense,

00:51:17.330 --> 00:51:18.380 align:middle line:90%
more informative.

00:51:18.380 --> 00:51:22.400 align:middle line:84%
I would have been telling you
that there are no cookies left.

00:51:22.400 --> 00:51:25.880 align:middle line:84%
Yeah, so on that
approach, we're OK.

00:51:25.880 --> 00:51:27.835 align:middle line:84%
Our existing definition
of "some" is OK.

00:51:27.835 --> 00:51:29.960 align:middle line:84%
We get to just say, yeah,
"some" just means there's

00:51:29.960 --> 00:51:31.850 align:middle line:90%
a nonempty intersection.

00:51:31.850 --> 00:51:33.650 align:middle line:84%
And then there's this
tendency that you

00:51:33.650 --> 00:51:35.480 align:middle line:84%
have to listen to a
quantifier and think

00:51:35.480 --> 00:51:37.700 align:middle line:84%
about other quantifier
that you could have said.

00:51:37.700 --> 00:51:39.320 align:middle line:84%
And I think there's
something similar going on--

00:51:39.320 --> 00:51:40.650 align:middle line:84%
I'm sorry, this is
taking a long time--

00:51:40.650 --> 00:51:41.420 align:middle line:84%
I think there's
something similar

00:51:41.420 --> 00:51:42.545 align:middle line:90%
going on with your example.

00:51:42.545 --> 00:51:45.350 align:middle line:84%
But if you say "less
than ten billion people,"

00:51:45.350 --> 00:51:49.970 align:middle line:84%
I'm invited to wonder
why you are describing

00:51:49.970 --> 00:51:52.010 align:middle line:90%
all existing people that way.

00:51:52.010 --> 00:51:54.590 align:middle line:84%
Why aren't you just
saying "everyone"?

00:51:54.590 --> 00:51:57.530 align:middle line:84%
And I think there's
something similar,

00:51:57.530 --> 00:52:01.710 align:middle line:84%
some way of relating that
fact to this fact I think--

00:52:01.710 --> 00:52:02.210 align:middle line:90%
yeah.

00:52:02.210 --> 00:52:04.970 align:middle line:84%
AUDIENCE: So you say
there is a principle

00:52:04.970 --> 00:52:08.600 align:middle line:84%
that we assume that when
we have conversations

00:52:08.600 --> 00:52:11.460 align:middle line:84%
that the other
person [INAUDIBLE]..

00:52:11.460 --> 00:52:14.670 align:middle line:90%


00:52:14.670 --> 00:52:16.410 align:middle line:84%
NORVIN RICHARDS:
Yes, yes, and then

00:52:16.410 --> 00:52:18.510 align:middle line:84%
there's a really interesting
question about what

00:52:18.510 --> 00:52:20.273 align:middle line:90%
I mean when I say informative.

00:52:20.273 --> 00:52:21.690 align:middle line:84%
We have to try to
figure that out.

00:52:21.690 --> 00:52:27.480 align:middle line:84%
That idea is an idea
by a guy named Grice.

00:52:27.480 --> 00:52:29.790 align:middle line:84%
His idea was that when
you hear people speak,

00:52:29.790 --> 00:52:32.340 align:middle line:84%
you make assumptions about
the conversational moves

00:52:32.340 --> 00:52:33.360 align:middle line:90%
that they will make.

00:52:33.360 --> 00:52:34.915 align:middle line:84%
You assume that
they will be honest

00:52:34.915 --> 00:52:36.540 align:middle line:84%
and that they will
tell you everything.

00:52:36.540 --> 00:52:39.990 align:middle line:84%
They will be maximally
informative, and so on.

00:52:39.990 --> 00:52:42.960 align:middle line:84%
And some of the
interesting kinds

00:52:42.960 --> 00:52:46.050 align:middle line:84%
of inferences that we make
about things that people say

00:52:46.050 --> 00:52:49.350 align:middle line:84%
come from cases where we're
following these assumptions

00:52:49.350 --> 00:52:51.790 align:middle line:84%
about what people
will be doing--

00:52:51.790 --> 00:52:55.050 align:middle line:90%
[COUGHS] excuse me.

00:52:55.050 --> 00:53:01.590 align:middle line:84%
And one of the other things that
he's interested in showing is

00:53:01.590 --> 00:53:03.090 align:middle line:90%
he'll--

00:53:03.090 --> 00:53:07.800 align:middle line:84%
so we will do things which
obviously violate Grice's--

00:53:07.800 --> 00:53:10.050 align:middle line:84%
they're called maxims,
Grice's maxims.

00:53:10.050 --> 00:53:11.820 align:middle line:84%
And then you get to
draw conclusions when

00:53:11.820 --> 00:53:12.945 align:middle line:90%
I do those kinds of things.

00:53:12.945 --> 00:53:14.740 align:middle line:90%
So there's a classic example.

00:53:14.740 --> 00:53:20.350 align:middle line:84%
If somebody asks me, "How did
the students do on the test?

00:53:20.350 --> 00:53:22.920 align:middle line:90%
and I say, "Well, Mary passed."

00:53:22.920 --> 00:53:26.880 align:middle line:90%
[LAUGHTER]

00:53:26.880 --> 00:53:29.520 align:middle line:90%
That tells you that Mary passed.

00:53:29.520 --> 00:53:33.300 align:middle line:84%
And the fact that I didn't
completely answer your question

00:53:33.300 --> 00:53:37.050 align:middle line:84%
leads you to make
conclusions about why.

00:53:37.050 --> 00:53:39.853 align:middle line:84%
You get to ask yourself,
so why didn't he

00:53:39.853 --> 00:53:41.520 align:middle line:84%
tell me about any of
the other students?

00:53:41.520 --> 00:53:43.350 align:middle line:90%
Oh dear.

00:53:43.350 --> 00:53:46.050 align:middle line:84%
And the answer-- there
could be various answers.

00:53:46.050 --> 00:53:48.510 align:middle line:84%
Maybe the answer is
everyone else failed.

00:53:48.510 --> 00:53:52.590 align:middle line:84%
Maybe the answer is I happen
to believe for some reason

00:53:52.590 --> 00:53:55.290 align:middle line:84%
that you're entitled to know how
Mary did, but not about anybody

00:53:55.290 --> 00:53:55.790 align:middle line:90%
else.

00:53:55.790 --> 00:53:58.530 align:middle line:84%
Maybe you're Mary's
dad or something.

00:53:58.530 --> 00:54:00.570 align:middle line:90%
There are various ways that--

00:54:00.570 --> 00:54:03.430 align:middle line:84%
conclusions you could draw,
depending on the circumstances.

00:54:03.430 --> 00:54:06.000 align:middle line:84%
But that's another kind of
example of Grice's maxims

00:54:06.000 --> 00:54:06.730 align:middle line:90%
in action.

00:54:06.730 --> 00:54:08.910 align:middle line:84%
This is a domain of
linguistics, which

00:54:08.910 --> 00:54:12.210 align:middle line:84%
I'm not planning to talk about
at all, and yet here I am.

00:54:12.210 --> 00:54:14.850 align:middle line:90%
It's called pragmatics.

00:54:14.850 --> 00:54:17.760 align:middle line:84%
And I'm not planning to talk
about it because, I think

00:54:17.760 --> 00:54:20.510 align:middle line:84%
I've said this before, when
you're teaching intro classes

00:54:20.510 --> 00:54:23.010 align:middle line:84%
in anything-- this is probably
true of your other professors

00:54:23.010 --> 00:54:25.475 align:middle line:90%
and your other intro classes--

00:54:25.475 --> 00:54:27.600 align:middle line:84%
the professor presumably
has a specialty, something

00:54:27.600 --> 00:54:28.770 align:middle line:90%
that they mainly work on.

00:54:28.770 --> 00:54:30.930 align:middle line:84%
And for the rest of
the class they're

00:54:30.930 --> 00:54:32.940 align:middle line:84%
doing their best
to make everything

00:54:32.940 --> 00:54:34.260 align:middle line:90%
look reasonably plausible.

00:54:34.260 --> 00:54:36.570 align:middle line:84%
And I think I told you,
the part where I have

00:54:36.570 --> 00:54:38.550 align:middle line:90%
a specialty, that was syntax.

00:54:38.550 --> 00:54:41.220 align:middle line:84%
So everything else-- I
haven't been making it up.

00:54:41.220 --> 00:54:43.200 align:middle line:84%
I've been doing my
best to show you

00:54:43.200 --> 00:54:44.910 align:middle line:90%
things that were really true.

00:54:44.910 --> 00:54:46.650 align:middle line:90%
But I'm not a semanticist.

00:54:46.650 --> 00:54:50.700 align:middle line:90%
And I so I'm a syntactician.

00:54:50.700 --> 00:54:51.840 align:middle line:90%
I'm not a semanticist.

00:54:51.840 --> 00:54:53.917 align:middle line:84%
And I am really, really
not a pragmaticist.

00:54:53.917 --> 00:54:55.500 align:middle line:84%
And there are people
who work on that,

00:54:55.500 --> 00:54:56.860 align:middle line:90%
and I'm just not one of them.

00:54:56.860 --> 00:55:01.080 align:middle line:84%
So I I've already told you more
about pragmatics than I know.

00:55:01.080 --> 00:55:01.740 align:middle line:90%
[LAUGHTER]

00:55:01.740 --> 00:55:04.740 align:middle line:84%
Well, I won't try to
tell you anything else.

00:55:04.740 --> 00:55:08.370 align:middle line:84%
Your TAs, for example, might be
able to undo some of the damage

00:55:08.370 --> 00:55:10.410 align:middle line:90%
tomorrow.

00:55:10.410 --> 00:55:12.690 align:middle line:84%
AUDIENCE: So by
communicating [INAUDIBLE]----

00:55:12.690 --> 00:55:13.980 align:middle line:84%
NORVIN RICHARDS: You're going
to ask me about pragmatics,

00:55:13.980 --> 00:55:14.700 align:middle line:90%
aren't you.

00:55:14.700 --> 00:55:16.435 align:middle line:90%
[LAUGHS] Go ahead.

00:55:16.435 --> 00:55:17.060 align:middle line:90%
It's all right.

00:55:17.060 --> 00:55:18.305 align:middle line:84%
AUDIENCE: I'm
trying to understand

00:55:18.305 --> 00:55:19.230 align:middle line:90%
what you said about Grice.

00:55:19.230 --> 00:55:20.938 align:middle line:84%
So if you say, "I go
to school," and when

00:55:20.938 --> 00:55:22.560 align:middle line:84%
someone asks where
you go to school,

00:55:22.560 --> 00:55:25.140 align:middle line:84%
you say "North of
Boston," which is true.

00:55:25.140 --> 00:55:28.320 align:middle line:84%
Then if I went to school
in, like, Greenland,

00:55:28.320 --> 00:55:29.760 align:middle line:90%
it's north of Boston.

00:55:29.760 --> 00:55:34.260 align:middle line:84%
But if that person found
out that I do actually

00:55:34.260 --> 00:55:36.540 align:middle line:84%
go to school in
Greenland, they'd

00:55:36.540 --> 00:55:38.340 align:middle line:84%
think that I was
being dishonest.

00:55:38.340 --> 00:55:40.845 align:middle line:84%
NORVIN RICHARDS: Yeah, they
would feel that-- yes, exactly.

00:55:40.845 --> 00:55:44.250 align:middle line:90%


00:55:44.250 --> 00:55:50.047 align:middle line:84%
Yeah, that's a good
example, particularly if--

00:55:50.047 --> 00:55:52.380 align:middle line:84%
there was some reason to think
that when you said "North

00:55:52.380 --> 00:55:56.730 align:middle line:84%
of Boston," you were leaving
open the possibility that you

00:55:56.730 --> 00:56:00.600 align:middle line:84%
were going to school in various
fine educational institutions

00:56:00.600 --> 00:56:01.650 align:middle line:90%
north of Boston.

00:56:01.650 --> 00:56:03.788 align:middle line:84%
I probably shouldn't try
to name any in particular.

00:56:03.788 --> 00:56:05.580 align:middle line:84%
And then if it turns
out that, in fact, you

00:56:05.580 --> 00:56:07.350 align:middle line:84%
were in someplace
in Greenland that's

00:56:07.350 --> 00:56:11.430 align:middle line:84%
not all that famous, they might
think, ah, I've been tricked.

00:56:11.430 --> 00:56:12.360 align:middle line:90%
Yes, right.

00:56:12.360 --> 00:56:13.860 align:middle line:90%
You're absolutely right.

00:56:13.860 --> 00:56:15.810 align:middle line:84%
They get to ask
why you did that.

00:56:15.810 --> 00:56:19.710 align:middle line:84%
Why were you vague when you
could have been specific?

00:56:19.710 --> 00:56:24.720 align:middle line:84%
Yeah, anything else I can
make up about pragmatics?

00:56:24.720 --> 00:56:25.510 align:middle line:90%
Yes, Raquel?

00:56:25.510 --> 00:56:27.510 align:middle line:84%
AUDIENCE: I was
thinking about the--

00:56:27.510 --> 00:56:29.260 align:middle line:84%
and I don't know if
this is iconic or not.

00:56:29.260 --> 00:56:33.520 align:middle line:84%
But there's this one scene in
Pink Panther where he says,

00:56:33.520 --> 00:56:34.740 align:middle line:90%
"Does your dog bite"?

00:56:34.740 --> 00:56:36.510 align:middle line:90%
And then the guy's like, "Nope."

00:56:36.510 --> 00:56:37.440 align:middle line:90%
And the dog bites.

00:56:37.440 --> 00:56:39.240 align:middle line:84%
And he's like, I/" thought you
said your dog didn't bite."

00:56:39.240 --> 00:56:40.860 align:middle line:84%
And the guy's like,
"That's not my dog."

00:56:40.860 --> 00:56:41.070 align:middle line:90%
[LAUGHTER]

00:56:41.070 --> 00:56:42.780 align:middle line:84%
NORVIN RICHARDS:
"That is not my dog."

00:56:42.780 --> 00:56:43.530 align:middle line:90%
It's a classic.

00:56:43.530 --> 00:56:45.030 align:middle line:84%
Yeah, so a lot of
comedy is built

00:56:45.030 --> 00:56:48.430 align:middle line:84%
on failing to obey
Gricean maxims.

00:56:48.430 --> 00:56:51.840 align:middle line:84%
Yeah, that's exactly
right Yeah, so

00:56:51.840 --> 00:56:54.600 align:middle line:84%
in this case, the maxim of
relevance-- so when he asks,

00:56:54.600 --> 00:56:57.750 align:middle line:84%
"Does your dog bite," the
guy is supposed to think,

00:56:57.750 --> 00:56:59.040 align:middle line:90%
"Why is he asking me this?

00:56:59.040 --> 00:57:01.410 align:middle line:84%
Oh, he must be assuming
that this is my dog.

00:57:01.410 --> 00:57:04.090 align:middle line:84%
That must be what he
wants to know about."

00:57:04.090 --> 00:57:07.020 align:middle line:84%
So this is a kind of navigation
of people's expectations

00:57:07.020 --> 00:57:09.540 align:middle line:84%
in conversation, that
people always have to do.

00:57:09.540 --> 00:57:14.910 align:middle line:84%
That's right-- unless
you're Inspector Clouseau.

00:57:14.910 --> 00:57:16.050 align:middle line:90%
Yeah, OK, good.

00:57:16.050 --> 00:57:17.970 align:middle line:84%
Let's end a little
bit early today then.

00:57:17.970 --> 00:57:19.260 align:middle line:90%
And have a good weekend.

00:57:19.260 --> 00:57:22.340 align:middle line:90%
And I will see you next week.

00:57:22.340 --> 00:57:30.000 align:middle line:90%