1 00:00:00 --> 00:00:01 2 00:00:01 --> 00:00:03 The following content is provided by MIT OpenCourseWare 3 00:00:03 --> 00:00:06 under a Creative Commons license. 4 00:00:06 --> 00:00:09 Additional information about our license, and MIT 5 00:00:09 --> 00:00:15 OpenCourseWare in general is available at ocw.mit.edu. 6 00:00:15 --> 00:00:22 PROFESSOR: Last time I was talking about cognition and I'm 7 00:00:22 --> 00:00:27 framing the argument in part in saying that we're not like 8 00:00:27 --> 00:00:29 computers, even though computer's a nice metaphor for 9 00:00:29 --> 00:00:33 various secure aspects of cognitive function. 10 00:00:33 --> 00:00:34 We could continue that today. 11 00:00:34 --> 00:00:39 When you get an off-the-shelf computer, you expect that its 12 00:00:39 --> 00:00:46 basic way of thinking is going to be -- it's there. 13 00:00:46 --> 00:00:50 You might have to put some programs on it to teach it to 14 00:00:50 --> 00:00:53 do specific things, but you don't have to educate its 15 00:00:53 --> 00:00:55 motherboard or something of that sort. 16 00:00:55 --> 00:00:58 With kids it's not clear that that's the case. 17 00:00:58 --> 00:01:01 That if you take an off-the-shelf baby, it's not 18 00:01:01 --> 00:01:05 clear that that baby is thinking the way that 19 00:01:05 --> 00:01:07 an adult is thinking. 20 00:01:07 --> 00:01:10 That's really what I want to talk about today. 21 00:01:10 --> 00:01:13 22 00:01:13 --> 00:01:16 Let me put up a picture that I can then return 23 00:01:16 --> 00:01:19 to multiple times. 24 00:01:19 --> 00:01:25 If this is age, and we're interested in development, what 25 00:01:25 --> 00:01:31 we were talking about last time is the adult state -- something 26 00:01:31 --> 00:01:33 about the adult state. 27 00:01:33 --> 00:01:37 What we want to know in studying cognitive development 28 00:01:37 --> 00:01:43 or any sort of development is what's the starting point? 29 00:01:43 --> 00:01:47 If you have a newborn baby, is that starting at zero or does 30 00:01:47 --> 00:01:53 that baby come with some sort of innate endowment that gets 31 00:01:53 --> 00:01:56 them on the way towards the adults state. 32 00:01:56 --> 00:02:04 Then what does the transition from the kid state to the 33 00:02:04 --> 00:02:07 adult state look like? 34 00:02:07 --> 00:02:10 Does it look like some sort of gradual improvement? 35 00:02:10 --> 00:02:12 Does it look like some sort of step function? 36 00:02:12 --> 00:02:19 It might be useful to describe from the realm of vision, a 37 00:02:19 --> 00:02:24 couple of examples just to show you what this means. 38 00:02:24 --> 00:02:31 If you want to know what a baby sees, get yourself a newborn 39 00:02:31 --> 00:02:35 off-the-shelf baby and give them -- well, you can't give 40 00:02:35 --> 00:02:39 them an eye chart to read because they can't read, so you 41 00:02:39 --> 00:02:43 give them the illiterate E chart, as it's called in the 42 00:02:43 --> 00:02:54 trade, and you ask them which way do the letters point, the 43 00:02:54 --> 00:02:56 kid doesn't tell you anything useful, because the kid 44 00:02:56 --> 00:02:58 can't answer that question. 45 00:02:58 --> 00:03:06 However, conveniently enough if you take even a newborn baby, 46 00:03:06 --> 00:03:11 young as you can test them, and put them in front of a couple 47 00:03:11 --> 00:03:15 of screens -- little peephole here. 48 00:03:15 --> 00:03:19 You guys can all be babies and the experiment, if you're 49 00:03:19 --> 00:03:24 looking out at you through this peephole, if you put black and 50 00:03:24 --> 00:03:29 white bars on one screen and you put on the other screen a 51 00:03:29 --> 00:03:33 grey of the same average luminance, so if this is zero 52 00:03:33 --> 00:03:37 and that's 100, this is 50 all over the place. 53 00:03:37 --> 00:03:40 If the baby can see the bars, conveniently enough that 54 00:03:40 --> 00:03:44 baby will look at the bars. 55 00:03:44 --> 00:03:48 If you are looking at the baby, you can figure out, you move 56 00:03:48 --> 00:03:51 the bars from side-to-side from child-to-child, you can figure 57 00:03:51 --> 00:03:54 out where that baby is looking and you can figure out where 58 00:03:54 --> 00:03:57 the bars are based on where the baby is looking. 59 00:03:57 --> 00:04:00 That's known as a preferential looking method, very 60 00:04:00 --> 00:04:05 useful in infant research. 61 00:04:05 --> 00:04:09 What you discover, if you do experiments like this studying 62 00:04:09 --> 00:04:15 infant visual aquity, is that babies don't start at zero. 63 00:04:15 --> 00:04:18 A newborn baby isn't blind. 64 00:04:18 --> 00:04:20 Newborn baby can see something. 65 00:04:20 --> 00:04:26 If normal adult vision's around 20/20, newborn baby vision is 66 00:04:26 --> 00:04:30 around 20/400 -- the big E at the top of the eye 67 00:04:30 --> 00:04:32 chart roughly. 68 00:04:32 --> 00:04:35 69 00:04:35 --> 00:04:42 The progression from the infant state to the adult state is a 70 00:04:42 --> 00:04:47 gradual, relatively steady increase over about the first 71 00:04:47 --> 00:04:48 couple of years of life. 72 00:04:48 --> 00:04:53 Every month you get roughly the same kind of improvement until 73 00:04:53 --> 00:04:55 you hit the adult level. 74 00:04:55 --> 00:05:01 So, not a zero starting point and a gradual improvement 75 00:05:01 --> 00:05:02 to adult level. 76 00:05:02 --> 00:05:06 Now let's take a different example from the same realm. 77 00:05:06 --> 00:05:08 Remember you've got two eyes, the differences in those two 78 00:05:08 --> 00:05:13 eyes are a depth cue -- known as binocular stereopsis. 79 00:05:13 --> 00:05:16 Well the cue is binocular disparity, the ability is 80 00:05:16 --> 00:05:19 stereoscopic depth perception. 81 00:05:19 --> 00:05:23 If you test a baby, so baby's it turns out also like things 82 00:05:23 --> 00:05:26 that stand out in depth better than they like flat stuff, so 83 00:05:26 --> 00:05:30 if you show a baby bars standing out in depth, a 84 00:05:30 --> 00:05:35 newborn baby gives you squat. 85 00:05:35 --> 00:05:39 To all appearances there is no binocular stereovision 86 00:05:39 --> 00:05:44 in a newborn baby. 87 00:05:44 --> 00:05:49 For about the first three to five months, nothing happens. 88 00:05:49 --> 00:06:01 Then over a very short period of time, performance rises to 89 00:06:01 --> 00:06:06 essentially the adult level, as if this was waiting for 90 00:06:06 --> 00:06:09 something to get wired up in the brain. 91 00:06:09 --> 00:06:13 When it got wired up in the brain, bingo, the kid is fine. 92 00:06:13 --> 00:06:16 Oh, by the way, if you are a woman person 93 00:06:16 --> 00:06:18 you got there first. 94 00:06:18 --> 00:06:22 It turns out to be a reliable sex difference that females 95 00:06:22 --> 00:06:27 get binocular stereovision a month or so before males. 96 00:06:27 --> 00:06:29 Does this make any difference to anything? 97 00:06:29 --> 00:06:31 No, but we found it years and years ago when I was a grad 98 00:06:31 --> 00:06:34 student so I still remember it. 99 00:06:34 --> 00:06:37 So these are two of the various possibilities for 100 00:06:37 --> 00:06:41 a function like this for a developmental course. 101 00:06:41 --> 00:06:50 We're going to talk about three specific realms of cognitive 102 00:06:50 --> 00:06:57 development in which there are classic demonstrations of 103 00:06:57 --> 00:07:00 children doing things differently than 104 00:07:00 --> 00:07:02 adults do them. 105 00:07:02 --> 00:07:06 I will try to take each of those apart and to give you 106 00:07:06 --> 00:07:10 some idea of what's the starting point, what's the 107 00:07:10 --> 00:07:12 ending point and how do we get between those. 108 00:07:12 --> 00:07:22 The three, which are outlined on the handout have to do with 109 00:07:22 --> 00:07:26 so-called childhood, animism and egocentric behavior. 110 00:07:26 --> 00:07:33 Let me describe each of these problems to you in turn and 111 00:07:33 --> 00:07:37 then we'll take each of them apart. 112 00:07:37 --> 00:07:43 These are all demonstrations that originally come from the 113 00:07:43 --> 00:07:51 work of Jean Piaget, the great early mid-20th century 114 00:07:51 --> 00:07:55 developmental psychologist, who among other things, bequeathed 115 00:07:55 --> 00:08:01 to us a great collection of phenomena that shows striking 116 00:08:01 --> 00:08:03 differences between the way kids behaving and the way 117 00:08:03 --> 00:08:07 adults behave and that cry out for explanation. 118 00:08:07 --> 00:08:08 So here would be one of them. 119 00:08:08 --> 00:08:10 These are M&M's, let us say. 120 00:08:10 --> 00:08:43 121 00:08:43 --> 00:08:46 This is another one of those forced choice kind of things, 122 00:08:46 --> 00:08:47 so think hard about this. 123 00:08:47 --> 00:08:51 Are there more M&M's here or here? 124 00:08:51 --> 00:08:54 How many vote up? 125 00:08:54 --> 00:08:56 That's good. 126 00:08:56 --> 00:09:04 However, if you were 3, 4, 5, maybe even 6, you'd say here. 127 00:09:04 --> 00:09:06 You would be perfectly happy. 128 00:09:06 --> 00:09:19 129 00:09:19 --> 00:09:23 So the first obvious thought is well, the kid's just not quite 130 00:09:23 --> 00:09:25 understanding the question. 131 00:09:25 --> 00:09:27 It a languagy kind of thing. 132 00:09:27 --> 00:09:31 We're saying where's more and they're saying which is longer. 133 00:09:31 --> 00:09:34 So that's why it's important that you use M&M's. 134 00:09:34 --> 00:09:39 You say OK, kid, which pile would you like? 135 00:09:39 --> 00:09:41 Kid says I want this pile. 136 00:09:41 --> 00:09:42 Why do you want this pile? 137 00:09:42 --> 00:09:43 Well there's more there. 138 00:09:43 --> 00:09:47 139 00:09:47 --> 00:09:49 In fact, this is why you shouldn't be born to a 140 00:09:49 --> 00:09:53 psychologist because your psychologist dad is always 141 00:09:53 --> 00:09:56 tricking you out of the candy by playing this game on you. 142 00:09:56 --> 00:09:58 It works. 143 00:09:58 --> 00:09:59 You teach this stuff long enough and you say 144 00:09:59 --> 00:10:01 is this really true? 145 00:10:01 --> 00:10:04 And then you've got yourself like a three-year old kid and 146 00:10:04 --> 00:10:08 you mess with his brain -- yeah, it's true. 147 00:10:08 --> 00:10:09 This is good stuff. 148 00:10:09 --> 00:10:14 149 00:10:14 --> 00:10:18 The question here, of course, is then what's going on? 150 00:10:18 --> 00:10:21 This is part of a general problem. 151 00:10:21 --> 00:10:24 So let's take a fat beaker. 152 00:10:24 --> 00:10:27 Here's a big fat beaker with this much fluid in it. 153 00:10:27 --> 00:10:29 Now I pour that into a narrow beaker. 154 00:10:29 --> 00:10:32 The fluid level is? 155 00:10:32 --> 00:10:33 AUDIENCE: Higher. 156 00:10:33 --> 00:10:34 PROFESSOR: Higher. 157 00:10:34 --> 00:10:39 Is there more fluid now than there was when it was here? 158 00:10:39 --> 00:10:40 No. 159 00:10:40 --> 00:10:43 Does a little kid think there is? 160 00:10:43 --> 00:10:44 Yes. 161 00:10:44 --> 00:10:47 If you let the little kid pour it back into the big bowl, now 162 00:10:47 --> 00:10:49 he thinks there's less now. 163 00:10:49 --> 00:10:53 Take a ball of clay, roll it out into a snake, there's more 164 00:10:53 --> 00:10:54 clay says the little kid. 165 00:10:54 --> 00:10:57 Squish it back together, now there's less. 166 00:10:57 --> 00:10:59 These are so-called conservation problems. 167 00:10:59 --> 00:11:02 We're particularly interested in the version that has to do 168 00:11:02 --> 00:11:05 with number -- how come they think, in this case, that 169 00:11:05 --> 00:11:09 five is bigger than six. 170 00:11:09 --> 00:11:14 Second problem is what's called childhood animism. 171 00:11:14 --> 00:11:24 The classic Piagethian version would involve something exactly 172 00:11:24 --> 00:11:30 like his so-called three mountain apparatus where e had 173 00:11:30 --> 00:11:33 sort of a table top -- he's from Switzerland, so 174 00:11:33 --> 00:11:35 he's into the Alps. 175 00:11:35 --> 00:11:39 It's a table top version of the Alps, on the Alps are things 176 00:11:39 --> 00:11:44 like, that's a river and that's a hut. 177 00:11:44 --> 00:11:53 178 00:11:53 --> 00:11:55 The point is that you're sitting here looking 179 00:11:55 --> 00:11:56 at this thing. 180 00:11:56 --> 00:12:00 You're like a three-year old or something looking at this, and 181 00:12:00 --> 00:12:02 mom's over there on the other side. 182 00:12:02 --> 00:12:05 You can see mom. 183 00:12:05 --> 00:12:09 The question that you're asked is can your 184 00:12:09 --> 00:12:11 mother see the river? 185 00:12:11 --> 00:12:13 And you say, yeah sure. 186 00:12:13 --> 00:12:18 As if the fact that you could see the river makes you think 187 00:12:18 --> 00:12:20 that she can see the river. 188 00:12:20 --> 00:12:22 As if you couldn't take her point of view. 189 00:12:22 --> 00:12:24 At least Piaget thought that the problem here is that you 190 00:12:24 --> 00:12:26 can't quite take somebody else's point of view. 191 00:12:26 --> 00:12:30 My favorite anecdotal version of this is a story of a little 192 00:12:30 --> 00:12:37 kid out to eat with his brother at some burger place. 193 00:12:37 --> 00:12:43 Little kid wants more French fries, and so he does this, on 194 00:12:43 --> 00:12:47 the theory, presumably, if I can't see what I'm doing, you 195 00:12:47 --> 00:12:50 can't see what I'm doing. 196 00:12:50 --> 00:12:55 Most people don't do that by the time they reach adulthood. 197 00:12:55 --> 00:12:59 So there's something to explain there. 198 00:12:59 --> 00:13:03 That's not childhood animism at all. 199 00:13:03 --> 00:13:06 Actually, that's egocentric behavior. 200 00:13:06 --> 00:13:08 Sorry, I misspoke. 201 00:13:08 --> 00:13:10 That's the third example that we'll get to. 202 00:13:10 --> 00:13:13 So, egocentric makes more sense. 203 00:13:13 --> 00:13:17 Ecocentric is the inability to see things from somebody 204 00:13:17 --> 00:13:18 else's vantage point. 205 00:13:18 --> 00:13:20 So I've just described to you the problem of 206 00:13:20 --> 00:13:22 childhood egocentrism. 207 00:13:22 --> 00:13:29 Childhood animism is a tendency to declare things to be 208 00:13:29 --> 00:13:32 alive that you would not declare to be alive. 209 00:13:32 --> 00:13:33 Is the cat alive? 210 00:13:33 --> 00:13:34 Yeah, fine. 211 00:13:34 --> 00:13:35 Is the sun alive? 212 00:13:35 --> 00:13:35 Yes. 213 00:13:35 --> 00:13:37 Are the clouds alive? 214 00:13:37 --> 00:13:37 Yes. 215 00:13:37 --> 00:13:42 Little kids will assert that and you typically will not. 216 00:13:42 --> 00:13:43 That's animism. 217 00:13:43 --> 00:13:49 Piaget understood that as a problem with mapping concepts 218 00:13:49 --> 00:13:53 onto a discrete set of entities out in the world, and so we'll 219 00:13:53 --> 00:13:56 take a look at that, too. 220 00:13:56 --> 00:14:01 So, number, animism, you egocentric behavior, those 221 00:14:01 --> 00:14:03 are the things that I want to talk about today. 222 00:14:03 --> 00:14:14 Let's start with number, and let's start by taking apart 223 00:14:14 --> 00:14:15 the idea of number a bit. 224 00:14:15 --> 00:14:25 Because you an I tend to think of number as there's five of 225 00:14:25 --> 00:14:28 those things and six of those things. 226 00:14:28 --> 00:14:32 The concept of number, the idea of number can be broken down 227 00:14:32 --> 00:14:36 into three different bits at least. 228 00:14:36 --> 00:14:39 Let's see if I can do this right. 229 00:14:39 --> 00:14:40 Oh, well they went by. 230 00:14:40 --> 00:14:41 How many warthogs were there? 231 00:14:41 --> 00:14:44 AUDIENCE: [INAUDIBLE]. 232 00:14:44 --> 00:14:46 PROFESSOR: Let's try this again. 233 00:14:46 --> 00:14:49 AUDIENCE: 7. 234 00:14:49 --> 00:14:51 8. 235 00:14:51 --> 00:14:55 PROFESSOR: 9, 8, 7. 236 00:14:55 --> 00:14:56 Some number like that. 237 00:14:56 --> 00:14:57 It wasn't 150. 238 00:14:57 --> 00:14:59 But how about this? 239 00:14:59 --> 00:15:00 AUDIENCE: 2. 240 00:15:00 --> 00:15:02 PROFESSOR: OK, that's good. 241 00:15:02 --> 00:15:03 How about this? 242 00:15:03 --> 00:15:05 AUDIENCE: 3. 243 00:15:05 --> 00:15:09 PROFESSOR: How about this? 244 00:15:09 --> 00:15:11 This is data. 245 00:15:11 --> 00:15:18 If you do this task, what you find is that people are 246 00:15:18 --> 00:15:21 essentially perfect for 1, 2 and 3, maybe 4, and 247 00:15:21 --> 00:15:23 then it falls off. 248 00:15:23 --> 00:15:26 I think the answer was 8 before, but sometimes you say 249 00:15:26 --> 00:15:29 7, sometimes you say 9, and so your percent correct, being 250 00:15:29 --> 00:15:33 absolutely correct will systematically fall off. 251 00:15:33 --> 00:15:36 If I put 1,500 wart hogs up there you'll just not 252 00:15:36 --> 00:15:38 get it right at all. 253 00:15:38 --> 00:15:41 Similarly, if I was to measure not percent correct but 254 00:15:41 --> 00:15:45 reaction time, the reaction time for 1, 2, 3, 4 would be 255 00:15:45 --> 00:15:49 essentially flat, and then start to roughly 256 00:15:49 --> 00:15:51 linearly increase. 257 00:15:51 --> 00:15:55 That linear increase could be, for a number like 8, could 258 00:15:55 --> 00:15:57 either be due to some sort of counting operation. 259 00:15:57 --> 00:16:01 260 00:16:01 --> 00:16:03 Somebody who thinks they saw 8 of them, tell me how 261 00:16:03 --> 00:16:05 they figured that out? 262 00:16:05 --> 00:16:05 Yeah? 263 00:16:05 --> 00:16:08 AUDIENCE: You saw a line of 5 and then 2 and 1. 264 00:16:08 --> 00:16:11 PROFESSOR: A line of 5 and 2 and 1. 265 00:16:11 --> 00:16:13 OK. 266 00:16:13 --> 00:16:13 Yeah? 267 00:16:13 --> 00:16:15 AUDIENCE: I couldn't get a count because they went away. 268 00:16:15 --> 00:16:16 PROFESSOR: OK, yes. 269 00:16:16 --> 00:16:18 If I was doing this as a proper experiment I would have masked 270 00:16:18 --> 00:16:21 it so you couldn't count like the after-image or 271 00:16:21 --> 00:16:24 the iconic memory. 272 00:16:24 --> 00:16:24 Yup? 273 00:16:24 --> 00:16:27 AUDIENCE: Just recall the picture. 274 00:16:27 --> 00:16:30 PROFESSOR: OK, so you were also dumping it out of iconic 275 00:16:30 --> 00:16:31 memory in some fashion. 276 00:16:31 --> 00:16:33 The answer I was fishing for is something like 277 00:16:33 --> 00:16:34 the 5, 2 and 1 thing. 278 00:16:34 --> 00:16:37 That you can count those displays, and in fact, the 279 00:16:37 --> 00:16:40 people who got them back later might have done this, too -- by 280 00:16:40 --> 00:16:43 more typically saying oh, there's one group of 4, 281 00:16:43 --> 00:16:45 there's another group of 4. 282 00:16:45 --> 00:16:49 This ability to handle small numbers is called subitizing, 283 00:16:49 --> 00:16:53 and it works for small numbers like 1, 2, 3, 4. 284 00:16:53 --> 00:16:57 You have some immediate appreciation of those small 285 00:16:57 --> 00:17:01 numbers that's different than your appreciation 286 00:17:01 --> 00:17:06 of 8 or 17 or 150. 287 00:17:06 --> 00:17:11 That's one wart hog demonstration. 288 00:17:11 --> 00:17:14 How about which one has more wart hogs? 289 00:17:14 --> 00:17:17 290 00:17:17 --> 00:17:21 How many vote that there were more here? 291 00:17:21 --> 00:17:22 How many vote that there were more here? 292 00:17:22 --> 00:17:24 OK, you got that. 293 00:17:24 --> 00:17:26 How many wart hogs were there here? 294 00:17:26 --> 00:17:29 295 00:17:29 --> 00:17:31 A lot, yes. 296 00:17:31 --> 00:17:34 And how many wart hogs were here? 297 00:17:34 --> 00:17:37 A lot but not as many. 298 00:17:37 --> 00:17:39 You could count these, obviously. 299 00:17:39 --> 00:17:42 But you didn't count them and you didn't subitize them. 300 00:17:42 --> 00:17:45 What you did was you got some sort of general impression 301 00:17:45 --> 00:17:45 of their numerosity. 302 00:17:45 --> 00:17:52 303 00:17:52 --> 00:17:55 This is if you go back to perception chapter, this is 304 00:17:55 --> 00:17:58 another Weber's law kind of thing, or the money 305 00:17:58 --> 00:18:00 example from last time. 306 00:18:00 --> 00:18:04 You can also decide something about how many things there 307 00:18:04 --> 00:18:09 are there by a sort of a ratio comparison. 308 00:18:09 --> 00:18:12 There's more here than here. 309 00:18:12 --> 00:18:18 If there were 750 here and 745 here you wouldn't know that. 310 00:18:18 --> 00:18:21 There has to be a critical proportional difference 311 00:18:21 --> 00:18:22 between the two. 312 00:18:22 --> 00:18:24 But given a proportion difference, that this is 313 00:18:24 --> 00:18:27 something like 2:1, like that, it doesn't matter how many 314 00:18:27 --> 00:18:29 things there are, you simply know that there's more 315 00:18:29 --> 00:18:31 here and less here. 316 00:18:31 --> 00:18:34 That's sort of a crude sense of numerosity. 317 00:18:34 --> 00:18:38 318 00:18:38 --> 00:18:41 What we typically think of when we think about number is 319 00:18:41 --> 00:18:44 counting things, and that's the third property. 320 00:18:44 --> 00:18:45 So here, you can count them. 321 00:18:45 --> 00:18:48 Somebody can go and figure out exactly how many wart 322 00:18:48 --> 00:18:49 hogs there are there. 323 00:18:49 --> 00:18:53 You just have to go through and use your counting 324 00:18:53 --> 00:18:58 ability to figure that out. 325 00:18:58 --> 00:19:00 You have that ability. 326 00:19:00 --> 00:19:05 It seems to be critically piggybacked on 327 00:19:05 --> 00:19:07 linguistic ability. 328 00:19:07 --> 00:19:11 Recent interesting evidence for that comes from -- I don't know 329 00:19:11 --> 00:19:13 how to pronounce it properly, but something like the Bari 330 00:19:13 --> 00:19:16 Rahua tribe in the Amazon. 331 00:19:16 --> 00:19:22 Their number terms consist of 1, 2 and more than that. 332 00:19:22 --> 00:19:25 333 00:19:25 --> 00:19:32 The result is that they bomb tasks that require counting. 334 00:19:32 --> 00:19:38 They can do subitizing tasks, they can do numerosity tasks, 335 00:19:38 --> 00:19:41 but they don't do counting tasks. 336 00:19:41 --> 00:19:46 They fail versions of the M&M task in effect. 337 00:19:46 --> 00:19:51 You say which of these boxes do you want -- the got fish in 338 00:19:51 --> 00:19:53 them or something like that, and one has a little label with 339 00:19:53 --> 00:19:56 4 fish on the top and another has 5 fish on the top and as 340 00:19:56 --> 00:19:58 far as these guys are concerned, it's all 341 00:19:58 --> 00:20:01 just got lots of fish. 342 00:20:01 --> 00:20:06 What you see here is a task where this was the 343 00:20:06 --> 00:20:12 experimenter's marks, and the Bari Rahua person was asked 344 00:20:12 --> 00:20:13 to just copy it. 345 00:20:13 --> 00:20:16 So, one mark, make one mark, two, I can make 346 00:20:16 --> 00:20:17 two marks, three, three. 347 00:20:17 --> 00:20:21 That's just a bunch, I'll make a bunch of marks. 348 00:20:21 --> 00:20:23 Once you got out of the subitizing range they 349 00:20:23 --> 00:20:26 simply didn't do the task. 350 00:20:26 --> 00:20:31 I think I'd put these guys on this article from which 351 00:20:31 --> 00:20:33 I stole -- this picture may live on the website. 352 00:20:33 --> 00:20:36 I seem to remember that that was one of the things 353 00:20:36 --> 00:20:38 that I posted there. 354 00:20:38 --> 00:20:41 So, what to kids have and how does that tie 355 00:20:41 --> 00:20:44 into the M&M problem. 356 00:20:44 --> 00:20:52 Well, turns out that little kids have babies, have this 357 00:20:52 --> 00:20:57 numerosity -- Weber's law, comparison kind of numerosity 358 00:20:57 --> 00:21:01 ability, and here's an experiment done by [? Shew ?] 359 00:21:01 --> 00:21:06 and Liz Spelke up at Harvard that illustrates that. 360 00:21:06 --> 00:21:10 You're a baby, you're looking at this, and every now and 361 00:21:10 --> 00:21:13 then the display changes. 362 00:21:13 --> 00:21:16 OK, there's another bunch of dots. 363 00:21:16 --> 00:21:19 And another bunch of dots. 364 00:21:19 --> 00:21:21 What I'm doing is I, the experimenter am measuring 365 00:21:21 --> 00:21:24 how long you look at this. 366 00:21:24 --> 00:21:27 I'm changing the shape and the distribution of these guys, but 367 00:21:27 --> 00:21:30 I'm not changing the number. 368 00:21:30 --> 00:21:35 You are slowly getting bored, or to be more technical about 369 00:21:35 --> 00:21:37 it, you're habituating. 370 00:21:37 --> 00:21:42 You may recall that from the learning chapter. 371 00:21:42 --> 00:21:44 I don't think we talked about it in the chapter. 372 00:21:44 --> 00:21:47 Well, we can talk about it right now. 373 00:21:47 --> 00:21:50 A bunch of people oriented to that. 374 00:21:50 --> 00:21:54 375 00:21:54 --> 00:21:57 Now those people are having no problem at all 376 00:21:57 --> 00:21:59 veeing back out again. 377 00:21:59 --> 00:22:00 That's habituation. 378 00:22:00 --> 00:22:03 You do it, babies do it, slugs do it, everybody does it. 379 00:22:03 --> 00:22:04 Great. 380 00:22:04 --> 00:22:07 Useful technique, because the baby's sitting here saying this 381 00:22:07 --> 00:22:10 is all kind of more or less the same and it's just not 382 00:22:10 --> 00:22:14 that interesting. 383 00:22:14 --> 00:22:18 Wait a second, that's interesting, says the baby. 384 00:22:18 --> 00:22:21 And the baby says it by looking more. 385 00:22:21 --> 00:22:27 What happens here is that looking time goes down, down, 386 00:22:27 --> 00:22:30 down, down as the number on each trial stays the same. 387 00:22:30 --> 00:22:33 Then when you jump from 8 to 16, the baby says hey, 388 00:22:33 --> 00:22:35 something's happened, I gotta take a look at this. 389 00:22:35 --> 00:22:37 Do 16 for awhile, blah, blah, blah, blah, blah, 390 00:22:37 --> 00:22:39 blah, blah, blah. 391 00:22:39 --> 00:22:42 What this tells you is that the baby could tell the 392 00:22:42 --> 00:22:44 difference between 8 and 16. 393 00:22:44 --> 00:22:47 The reason for changing the shape and the distribution and 394 00:22:47 --> 00:22:51 the density and stuff like that is to make sure that that's not 395 00:22:51 --> 00:22:53 what you're picking up on. 396 00:22:53 --> 00:22:53 [? Shew ?] 397 00:22:53 --> 00:22:55 and Spelke were careful about that. 398 00:22:55 --> 00:23:01 So what you're picking on here is numerosity. 399 00:23:01 --> 00:23:07 Babies can do that, but if you go from 8 to 9, 400 00:23:07 --> 00:23:09 nothing happens here. 401 00:23:09 --> 00:23:13 In fact, if you go from 8 to 12, a 50% increase in dots, 402 00:23:13 --> 00:23:17 nothing happens here with, how old are these babies 403 00:23:17 --> 00:23:19 -- six month old babies. 404 00:23:19 --> 00:23:23 So, 8 to 16, a 2:1 change -- that babies pick up on. 405 00:23:23 --> 00:23:38 So, one thing we know that if we're talking about number, the 406 00:23:38 --> 00:23:49 starting spot isn't zero for number sense in infants. 407 00:23:49 --> 00:23:54 The numerosity piece, some chunk of the numerosity piece 408 00:23:54 --> 00:23:56 is there for starters. 409 00:23:56 --> 00:24:02 Perhaps more dramatically, the subitizing piece is there, and 410 00:24:02 --> 00:24:09 the subitizing piece is there along with what seems to be an 411 00:24:09 --> 00:24:11 innate mathematical ability. 412 00:24:11 --> 00:24:14 Little kids can add and subtract. 413 00:24:14 --> 00:24:17 Babies can add and subtract. 414 00:24:17 --> 00:24:19 This was a surprise. 415 00:24:19 --> 00:24:22 416 00:24:22 --> 00:24:26 This is work done by karen Wynn, and it is worth making 417 00:24:26 --> 00:24:30 the historical note that she was a TA for this course once 418 00:24:30 --> 00:24:33 upon a time, now a professor at Yale. 419 00:24:33 --> 00:24:37 But in any case, she figured out that babies can 420 00:24:37 --> 00:24:39 add and subtract. 421 00:24:39 --> 00:24:42 Look, if you ask a baby what's one plus one, you get much the 422 00:24:42 --> 00:24:45 same answer as if you asked the baby which way is 423 00:24:45 --> 00:24:45 the E pointing. 424 00:24:45 --> 00:24:49 You gotta get clever about this sort of thing. 425 00:24:49 --> 00:24:52 Here's how Karen got clever about it. 426 00:24:52 --> 00:24:53 So, you're looking at a screen. 427 00:24:53 --> 00:24:59 You're a little baby looking at a screen like this and you see 428 00:24:59 --> 00:25:01 a hand come in with an object. 429 00:25:01 --> 00:25:12 430 00:25:12 --> 00:25:15 And you see a hand come in with another one. 431 00:25:15 --> 00:25:19 You got a pretty good idea what's going on here, right. 432 00:25:19 --> 00:25:24 So, if I lift the screen, what do you expect to see? 433 00:25:24 --> 00:25:29 434 00:25:29 --> 00:25:34 Now, we're going to do this again. 435 00:25:34 --> 00:25:35 The speed would be the same, of course, I just didn't want to 436 00:25:35 --> 00:25:38 keep sliding them in slowly. 437 00:25:38 --> 00:25:46 438 00:25:46 --> 00:25:51 The baby will respond to this by looking longer. 439 00:25:51 --> 00:25:55 The baby will say -- who knows what the baby will say, but the 440 00:25:55 --> 00:25:59 baby is apparently in effect saying put one thing in this, 441 00:25:59 --> 00:26:05 two things in here, two stuff, two wart hogs back there. 442 00:26:05 --> 00:26:08 Now there's only one wart hog and this violates the rules of 443 00:26:08 --> 00:26:11 the universe and I said better look at this for a while to 444 00:26:11 --> 00:26:14 figure out what's going on. 445 00:26:14 --> 00:26:23 You can use this technique to show that babies can do -- do 446 00:26:23 --> 00:26:25 I have a subtraction one here, I forget. 447 00:26:25 --> 00:26:33 448 00:26:33 --> 00:26:35 It works for monkeys, too. 449 00:26:35 --> 00:26:37 We'll talk about that in a minute. 450 00:26:37 --> 00:26:40 But you can do addition, you can do subtraction. 451 00:26:40 --> 00:26:44 So, subtraction, you have the two things here, you put down 452 00:26:44 --> 00:26:49 the screen, the hand comes in and pulls one out. 453 00:26:49 --> 00:26:52 When the screen comes up the baby expects to see one. 454 00:26:52 --> 00:26:56 If the babiy sees zero or the baby sees two, the baby says 455 00:26:56 --> 00:27:00 something weird's going on here, I need to think 456 00:27:00 --> 00:27:03 about this for a while. 457 00:27:03 --> 00:27:06 Now, if you do this with big numbers outside of 458 00:27:06 --> 00:27:09 the subitizing range, you don't get the result. 459 00:27:09 --> 00:27:13 So, you stick 15 wart hogs back there and you lift up the 460 00:27:13 --> 00:27:18 screen and there's 13 wart hogs and the kid says I don't care. 461 00:27:18 --> 00:27:23 Once you get above about 3 with babies, it 462 00:27:23 --> 00:27:24 doesn't work anymore. 463 00:27:24 --> 00:27:34 So, what you get is evidence for subitizing being present 464 00:27:34 --> 00:27:40 and some sort of addition and subtraction kind of operation 465 00:27:40 --> 00:27:42 for, essentially as early as you want to test it. 466 00:27:42 --> 00:27:45 You can also get these abilities in animals -- that's 467 00:27:45 --> 00:27:51 what this slide is intended to remind me to tell you. 468 00:27:51 --> 00:27:54 Animals, certainly Macaque monkeys will show numerosity 469 00:27:54 --> 00:27:59 effects, and they can also do this sort of Karen 470 00:27:59 --> 00:28:01 Wynn style math. 471 00:28:01 --> 00:28:05 They prefer eggplants -- at least Marc Hauser's monkeys 472 00:28:05 --> 00:28:08 like eggplant, so that's why there are eggplants here. 473 00:28:08 --> 00:28:11 And you worry about doing this in the lab, because maybe your 474 00:28:11 --> 00:28:16 lab monkeys have led this elaborately studied life 475 00:28:16 --> 00:28:18 and are kind of smart. 476 00:28:18 --> 00:28:21 Hauser went down to this island in the Caribbean where he's 477 00:28:21 --> 00:28:24 got a free-ranging troop of monkeys. 478 00:28:24 --> 00:28:29 Then you kind of have to coax them into playing your game. 479 00:28:29 --> 00:28:33 There's this great video that Marc has of monkeys -- he's 480 00:28:33 --> 00:28:37 hanging out with his eggplants, then he's starting to do this 481 00:28:37 --> 00:28:41 eggplant puppet show with the Macaque's looking longer 482 00:28:41 --> 00:28:42 at the weird ones. 483 00:28:42 --> 00:28:45 The guy put two eggplants there, there's only 484 00:28:45 --> 00:28:45 one there now. 485 00:28:45 --> 00:28:49 Hope he's going to feed me some of these eggplants eventually. 486 00:28:49 --> 00:28:52 But in any case, monkeys can do the task. 487 00:28:52 --> 00:28:56 Monkeys will look longer at things that violate 488 00:28:56 --> 00:28:58 their expectation. 489 00:28:58 --> 00:29:01 However, monkeys don't count. 490 00:29:01 --> 00:29:05 At least they don't count the way that you and I count. 491 00:29:05 --> 00:29:07 This goes for great apes. 492 00:29:07 --> 00:29:10 Fine, let's go find the brightest beast other 493 00:29:10 --> 00:29:13 than humans that we can. 494 00:29:13 --> 00:29:18 There's at least one chimp who's been trained for 20 years 495 00:29:18 --> 00:29:22 -- oh, I misspoke when I talked about this in Concourse. 496 00:29:22 --> 00:29:23 I'd said he'd been trained for nine years and 497 00:29:23 --> 00:29:25 never gotten past 20. 498 00:29:25 --> 00:29:26 It's worse than that. 499 00:29:26 --> 00:29:28 He's been trained for 20 years you never gotten 500 00:29:28 --> 00:29:30 past nine counting. 501 00:29:30 --> 00:29:33 He can count to nine, do pretty good stuff up to nine. 502 00:29:33 --> 00:29:38 But he's doing this by basically association learning. 503 00:29:38 --> 00:29:44 504 00:29:44 --> 00:29:48 You can train the monkey to realize that this sign or 505 00:29:48 --> 00:29:54 this graphic or something means nine things. 506 00:29:54 --> 00:29:58 But this is very different from what you and I can do. 507 00:29:58 --> 00:30:03 It didn't take you 20 years and you got well beyond nine. 508 00:30:03 --> 00:30:08 Counting seems to be heavily dependent on two things. 509 00:30:08 --> 00:30:13 One is language, and the other is an act of 510 00:30:13 --> 00:30:14 inductive reasoning. 511 00:30:14 --> 00:30:18 You can sort of see counting happening, the development of 512 00:30:18 --> 00:30:26 counting in a series of steps. 513 00:30:26 --> 00:30:34 Kids, as they are learning language, learn that there is 514 00:30:34 --> 00:30:44 this kind of game about saying 1, 2, 3, four and so on, that 515 00:30:44 --> 00:30:47 parents really like to play. 516 00:30:47 --> 00:30:52 If you start counting they'll give you the cookies and stuff. 517 00:30:52 --> 00:30:56 Good things happen. 518 00:30:56 --> 00:30:59 They don't have any particular clue initially that this maps 519 00:30:59 --> 00:31:04 on to anything in particular. 520 00:31:04 --> 00:31:08 521 00:31:08 --> 00:31:11 So, what you get with like two and a half year old kids is a 522 00:31:11 --> 00:31:16 two and a half year old kid, if you ask for one cookie 523 00:31:16 --> 00:31:18 will give you one cookie. 524 00:31:18 --> 00:31:20 But if you ask for anything else -- give me two cookies, 525 00:31:20 --> 00:31:22 give me four cookies, give me whatever, they'll give you 526 00:31:22 --> 00:31:25 some random -- here, have some cookies. 527 00:31:25 --> 00:31:28 It's one and other stuff. 528 00:31:28 --> 00:31:36 Eventually they learn to map the counting onto the 529 00:31:36 --> 00:31:42 subitizing range and then start blowing it later. 530 00:31:42 --> 00:31:45 If you have little sibs or cousins or stuff that you've 531 00:31:45 --> 00:31:49 hung around with, you may have seen them counting things 532 00:31:49 --> 00:31:56 -- 1, 2, 3, 4, 5, 7, 12. 533 00:31:56 --> 00:31:59 They got this notion that the numbers keep going in some 534 00:31:59 --> 00:32:02 fashion, but once you get out of the small numbers it's not 535 00:32:02 --> 00:32:05 terribly clear what's going on there. 536 00:32:05 --> 00:32:09 But even in this stage you can start to see the development of 537 00:32:09 --> 00:32:12 something more sophisticated. 538 00:32:12 --> 00:32:15 Six -- they may not know how many six's, they know 539 00:32:15 --> 00:32:17 six is a lot of stuff. 540 00:32:17 --> 00:32:20 If you ask for six cookies you'll get some arbitrary 541 00:32:20 --> 00:32:23 number of cookies. 542 00:32:23 --> 00:32:33 But if you ask a little kid if I take a lot of cookies and 543 00:32:33 --> 00:32:38 I add a few, do I still have a lot of cookies? 544 00:32:38 --> 00:32:42 Kid says yeah, it works. 545 00:32:42 --> 00:32:44 So, alright, so we know that. 546 00:32:44 --> 00:32:49 Now, if I have six cookies, can you give me six cookies? 547 00:32:49 --> 00:32:51 Some random number of cookies. 548 00:32:51 --> 00:32:55 If I have six cookies and I add some more cookies, do 549 00:32:55 --> 00:32:58 I still have six cookies? 550 00:32:58 --> 00:32:58 No. 551 00:32:58 --> 00:33:02 You got a lot of cookies but it's not the same a lotta. 552 00:33:02 --> 00:33:05 So, even when they don't really know how many cookies you've 553 00:33:05 --> 00:33:14 got, they have the notion that the number names are naming 554 00:33:14 --> 00:33:16 something specific. 555 00:33:16 --> 00:33:18 They don't quite get what it is, but it's something 556 00:33:18 --> 00:33:23 specific in a way that a term like a lot is not. 557 00:33:23 --> 00:33:30 Eventually, you make the breakthrough that you can 558 00:33:30 --> 00:33:36 count, basically, and if you add one to each of them you can 559 00:33:36 --> 00:33:39 just keep doing this forever. 560 00:33:39 --> 00:33:41 Again, I don't know how much you hang around with little 561 00:33:41 --> 00:33:45 kids or remember your own experience, because this is 562 00:33:45 --> 00:33:47 getting old enough that you might actually remember this 563 00:33:47 --> 00:33:52 state yourself, of asking what the biggest number 564 00:33:52 --> 00:33:53 in the world is. 565 00:33:53 --> 00:33:55 Anybody remember asking what the biggest number 566 00:33:55 --> 00:33:58 in the world is? 567 00:33:58 --> 00:34:00 That's the problem with MIT students, right, they figured 568 00:34:00 --> 00:34:03 all this stuff out when they were like two. 569 00:34:03 --> 00:34:07 So anyway, little kids want to know what the biggest number in 570 00:34:07 --> 00:34:09 the world is, and so you say to the little kid, well what 571 00:34:09 --> 00:34:11 do you think the biggest number in the world is? 572 00:34:11 --> 00:34:14 Well, it's a million. 573 00:34:14 --> 00:34:15 OK. 574 00:34:15 --> 00:34:19 What happens if we had a million plus one, is 575 00:34:19 --> 00:34:22 there a number for that? 576 00:34:22 --> 00:34:26 I guess a million and one's the biggest number in the world. 577 00:34:26 --> 00:34:26 Well, [UNINTELLIGIBLE] 578 00:34:26 --> 00:34:27 add a million and two. 579 00:34:27 --> 00:34:28 You can keep doing this for a while. 580 00:34:28 --> 00:34:31 Eventually, around the time when you get in this 581 00:34:31 --> 00:34:37 conversation, the kid catches on to the notion that you can 582 00:34:37 --> 00:34:40 always get a bigger one. 583 00:34:40 --> 00:34:46 This is really the very boring car rides sometimes. 584 00:34:46 --> 00:34:47 Do you want to see how high I can count? 585 00:34:47 --> 00:34:50 That's a kind of cute game with a three-year old. 586 00:34:50 --> 00:34:53 Aw, look, he can get all the way to 20. 587 00:34:53 --> 00:34:56 By the time you get a 4 or 5 year old, million and 588 00:34:56 --> 00:34:58 one, million and two, million and three. 589 00:34:58 --> 00:35:03 OK, we've made it to California kid, shutup. 590 00:35:03 --> 00:35:10 What you get is you've got this basic numeric competence or 591 00:35:10 --> 00:35:13 core knowledge, as Liz Spelke would call it. 592 00:35:13 --> 00:35:19 Then you're waiting for the development of language. 593 00:35:19 --> 00:35:22 When you get language you can then get this 594 00:35:22 --> 00:35:23 counting piece to work. 595 00:35:23 --> 00:35:26 When you got the counting piece to work, you can combine it 596 00:35:26 --> 00:35:29 with your ability to make the inductive leap that 597 00:35:29 --> 00:35:31 numbers go on forever. 598 00:35:31 --> 00:35:33 Then you're in a position to go off to school 599 00:35:33 --> 00:35:34 and learn some math. 600 00:35:34 --> 00:35:38 601 00:35:38 --> 00:35:39 There's, in a sense, not an adult level of 602 00:35:39 --> 00:35:41 numerical competence. 603 00:35:41 --> 00:35:44 You guys know more about numbers than I know, 604 00:35:44 --> 00:35:45 I would imagine. 605 00:35:45 --> 00:35:50 But the ability to go off and learn that kind of math is 606 00:35:50 --> 00:35:54 based on this core knowledge, then waiting on language before 607 00:35:54 --> 00:36:03 you can make the leap to an ability to do 180 whatever. 608 00:36:03 --> 00:36:08 So, it's an example, if you like, of the synergistic 609 00:36:08 --> 00:36:11 combination of information from a couple of different realms. 610 00:36:11 --> 00:36:20 Let's switch to the problem of childhood animism that, if 611 00:36:20 --> 00:36:23 you're not completely confused from my earlier mis-speaking, 612 00:36:23 --> 00:36:27 animism is the tendency to say is the sun alive? 613 00:36:27 --> 00:36:27 Yes. 614 00:36:27 --> 00:36:29 Are clouds alive? 615 00:36:29 --> 00:36:30 Yes. 616 00:36:30 --> 00:36:36 That seems quite different from what you and I do. 617 00:36:36 --> 00:36:42 One might wonder exactly how different it really is. 618 00:36:42 --> 00:36:45 Does it really reflect a fundamental problem with 619 00:36:45 --> 00:36:49 the concept alive? 620 00:36:49 --> 00:36:53 It's not that's obvious how you map the concept like 621 00:36:53 --> 00:36:55 that, even as an adult. 622 00:36:55 --> 00:37:03 This is perhaps easier to think about in connection with dead. 623 00:37:03 --> 00:37:06 Mapping dead onto a discrete set of things 624 00:37:06 --> 00:37:07 is not that trivial. 625 00:37:07 --> 00:37:10 Is a rock dead? 626 00:37:10 --> 00:37:13 Probably not because it was never alive, right. 627 00:37:13 --> 00:37:16 Is George Washington dead? 628 00:37:16 --> 00:37:17 Seems about right. 629 00:37:17 --> 00:37:23 Is he dead in the same way that something that you can, like a 630 00:37:23 --> 00:37:27 cat that just recently died -- the here, dead, now. 631 00:37:27 --> 00:37:28 Is that's the same? 632 00:37:28 --> 00:37:31 How about a dinosaur? 633 00:37:31 --> 00:37:33 Or the dinosaurs, are the dinosaur's dead? 634 00:37:33 --> 00:37:35 Well yes, they're dead but they're also extinction, which 635 00:37:35 --> 00:37:38 is somehow kind of different. 636 00:37:38 --> 00:37:42 Or to use an example from driving around, now that my 637 00:37:42 --> 00:37:46 kids have gotten out of the counting to a million stage -- 638 00:37:46 --> 00:37:51 I don't know how we got on the subject of what is alive. 639 00:37:51 --> 00:37:53 Maybe because I was thinking about this lecture. 640 00:37:53 --> 00:37:58 But anyway, my 10th grader asked my 3rd grader 641 00:37:58 --> 00:37:59 is fire alive? 642 00:37:59 --> 00:38:02 643 00:38:02 --> 00:38:05 Well, I don't know about the 3rd grader, but it took dad in 644 00:38:05 --> 00:38:10 the front seat a surprisingly long time to figure -- dad knew 645 00:38:10 --> 00:38:15 that the answer is no, but the principled reason why it's no, 646 00:38:15 --> 00:38:18 took me a couple of beats to get to. 647 00:38:18 --> 00:38:23 Because fire breathes, right, it grows, it reproduces, it 648 00:38:23 --> 00:38:26 can die, it can do all those good things. 649 00:38:26 --> 00:38:29 Turns out that in 10th grade biology they teach you that if 650 00:38:29 --> 00:38:34 you're going to be alive you've gotta be made of cells, and 651 00:38:34 --> 00:38:39 fire's not made of cells, except that then you get into 652 00:38:39 --> 00:38:42 11th grade English and you read some sci fi novel where this 653 00:38:42 --> 00:38:47 thing is alive but it's just a forcefield in deep space 654 00:38:47 --> 00:38:48 or something like that. 655 00:38:48 --> 00:38:52 I don't know what to do about that. 656 00:38:52 --> 00:38:57 Concepts like alive are pretty complex stuff, and the fact 657 00:38:57 --> 00:39:00 that a kid doesn't map it exactly the same way you map it 658 00:39:00 --> 00:39:02 may not be that definitive. 659 00:39:02 --> 00:39:05 Does the kid have a concept at all that they can use? 660 00:39:05 --> 00:39:05 That's what 661 00:39:05 --> 00:39:06 we really want to know. 662 00:39:06 --> 00:39:08 What's really going on there? 663 00:39:08 --> 00:39:12 So maybe we ought to ask the question a little 664 00:39:12 --> 00:39:13 bit differently. 665 00:39:13 --> 00:39:17 Kid had some notion of what alive things do. 666 00:39:17 --> 00:39:24 So suppose we ask a kid does a cat breathe? 667 00:39:24 --> 00:39:26 Yeah, a cat breathes. 668 00:39:26 --> 00:39:27 How about a cow? 669 00:39:27 --> 00:39:29 Yeah, a cow breathes. 670 00:39:29 --> 00:39:31 How about the sun? 671 00:39:31 --> 00:39:32 I don't think so. 672 00:39:32 --> 00:39:33 The moon? 673 00:39:33 --> 00:39:33 No. 674 00:39:33 --> 00:39:34 The clouds? 675 00:39:34 --> 00:39:35 No. 676 00:39:35 --> 00:39:38 And you can do the same thing with babies. 677 00:39:38 --> 00:39:42 Not asking the babies, but talking about can 678 00:39:42 --> 00:39:44 a cat have babies? 679 00:39:44 --> 00:39:45 Yeah, sure. 680 00:39:45 --> 00:39:47 Can the sun have babies? 681 00:39:47 --> 00:39:49 No. 682 00:39:49 --> 00:39:52 You get the feeling that there's a concept there that 683 00:39:52 --> 00:39:57 they're just not using the word alive the way that 684 00:39:57 --> 00:39:59 you and I are using it. 685 00:39:59 --> 00:40:03 Well, maybe all you're looking at here is the fact that they 686 00:40:03 --> 00:40:04 don't actually have a concept. 687 00:40:04 --> 00:40:06 What they have is a long list of learned instances. 688 00:40:06 --> 00:40:09 They are hang out at these fancy upper middle class 689 00:40:09 --> 00:40:13 preschools where they get taught kitty has babies, cow 690 00:40:13 --> 00:40:16 has babies, and they never gets taught sun has babies, because 691 00:40:16 --> 00:40:18 the sun doesn't have babies. 692 00:40:18 --> 00:40:19 And so they learn all this stuff. 693 00:40:19 --> 00:40:22 Maybe it's not a concept, maybe it's just a list of instances. 694 00:40:22 --> 00:40:23 How can we figure this out? 695 00:40:23 --> 00:40:28 Well, Sue Carey did an experiment where what 696 00:40:28 --> 00:40:32 she did was she taught kids something new. 697 00:40:32 --> 00:40:36 She said see this cat? 698 00:40:36 --> 00:40:38 This cat has an omentum. 699 00:40:38 --> 00:40:40 And you have an omentum. 700 00:40:40 --> 00:40:43 And the cow has an omentum. 701 00:40:43 --> 00:40:46 Now, how about the sheep? 702 00:40:46 --> 00:40:48 Think it's got omentum? 703 00:40:48 --> 00:40:50 Probaby got no mentum. 704 00:40:50 --> 00:40:51 And the dog? 705 00:40:51 --> 00:40:53 Yeah, the dog's probably got one. 706 00:40:53 --> 00:40:56 How about a fish? 707 00:40:56 --> 00:40:57 Yeah, probably, could be. 708 00:40:57 --> 00:40:58 Worm? 709 00:40:58 --> 00:41:00 I don't know. 710 00:41:00 --> 00:41:00 Rock? 711 00:41:00 --> 00:41:02 No, rock doesn't an omentum. 712 00:41:02 --> 00:41:03 How about sun? 713 00:41:03 --> 00:41:05 No, sun doesn't have an omentum. 714 00:41:05 --> 00:41:07 You don't have one either it turns out. 715 00:41:07 --> 00:41:11 She wanted a real biological term, but I think it's some 716 00:41:11 --> 00:41:13 weird membrane that an insect has or something like that. 717 00:41:13 --> 00:41:16 But the point was that it wasn't something that you 718 00:41:16 --> 00:41:17 would have ever learned. 719 00:41:17 --> 00:41:21 It's a new piece of knowledge, and if you say that things in 720 00:41:21 --> 00:41:25 this category, things in the category that are encompassed 721 00:41:25 --> 00:41:31 by cats, cows and you all have this, who else has it? 722 00:41:31 --> 00:41:35 And little kids, three, four-year old kids, map this 723 00:41:35 --> 00:41:37 in a plausible kind of a way. 724 00:41:37 --> 00:41:40 It might map something like mammal, it might map 725 00:41:40 --> 00:41:42 something like animal. 726 00:41:42 --> 00:41:44 I don't remember if any of her kids mapped something like 727 00:41:44 --> 00:41:47 alive in which case they would assert that a tree had 728 00:41:47 --> 00:41:48 it too or something. 729 00:41:48 --> 00:41:56 But it maps a concept that has a biological ring to it. 730 00:41:56 --> 00:41:59 What's the difference between the childhood use of these 731 00:41:59 --> 00:42:01 concepts and the adult use of these concepts? 732 00:42:01 --> 00:42:04 It seems to be, in this case, education. 733 00:42:04 --> 00:42:08 You go to school to learn the right concepts. 734 00:42:08 --> 00:42:13 In this sense, there is no firm adult state. 735 00:42:13 --> 00:42:18 My job here is to teach you a collection of facts and the 736 00:42:18 --> 00:42:21 right concepts in psychology. 737 00:42:21 --> 00:42:25 But I can teach you some of them and I keep learning new 738 00:42:25 --> 00:42:30 ones, and the adult par keeps sort of drifting there. 739 00:42:30 --> 00:42:33 You sort of go off to learn these sort of concepts. 740 00:42:33 --> 00:42:37 But you don't learn to have a concept per se. 741 00:42:37 --> 00:42:41 What the kid is doing -- well, actually it's rather similar 742 00:42:41 --> 00:42:42 to what we're doing here. 743 00:42:42 --> 00:42:52 The kid is mustering the data that is available to him, and 744 00:42:52 --> 00:42:53 working with the concept--. 745 00:42:53 --> 00:42:56 So what do you think the concept of alive is 746 00:42:56 --> 00:42:58 for a little kid? 747 00:42:58 --> 00:43:02 What do you think goes into it that causes little kids to give 748 00:43:02 --> 00:43:06 the wrong answer when asked by Piaget what's alive 749 00:43:06 --> 00:43:07 and what's not? 750 00:43:07 --> 00:43:10 What's the critical difference between your notion of alive 751 00:43:10 --> 00:43:15 that you picked up in 10th grade biology and a four-year 752 00:43:15 --> 00:43:18 old's notion of alive? 753 00:43:18 --> 00:43:19 Anybody? 754 00:43:19 --> 00:43:19 Yup? 755 00:43:19 --> 00:43:23 AUDIENCE: Something alive is something that moves and you 756 00:43:23 --> 00:43:24 didn't see how [INAUDIBLE]. 757 00:43:24 --> 00:43:25 PROFESSOR: Yeah. 758 00:43:25 --> 00:43:28 So moving on its own seems to be an important--. 759 00:43:28 --> 00:43:32 So cars aren't alive because you've got to make them move in 760 00:43:32 --> 00:43:39 some fashion, but self-produced motion seems to be an important 761 00:43:39 --> 00:43:42 part of the definition, and the sun and the clouds and the moon 762 00:43:42 --> 00:43:45 seem to scootch around in the sky, particularly if you're 763 00:43:45 --> 00:43:49 driving in that car, in ways that suggest that 764 00:43:49 --> 00:43:50 it might be alive. 765 00:43:50 --> 00:43:52 It gets a little more complicated because kids have 766 00:43:52 --> 00:43:56 also learned that trees are alive, and outside of Lord of 767 00:43:56 --> 00:44:01 the Rings, trees don't do much in the way of wandering around, 768 00:44:01 --> 00:44:05 but growing on your own is good, too. 769 00:44:05 --> 00:44:07 But that would be part of the biological definition. 770 00:44:07 --> 00:44:13 It's the self-produced motion thing that kids overuse in 771 00:44:13 --> 00:44:17 their definition, seemingly, that you don't use. 772 00:44:17 --> 00:44:20 You can see if you get transcripts of little kids 773 00:44:20 --> 00:44:25 using language, you get a feeling for this little 774 00:44:25 --> 00:44:30 scientist aspect of childhood concept. 775 00:44:30 --> 00:44:34 Well, concept formation, concept verification. 776 00:44:34 --> 00:44:44 So, here from the what is alive literature is a kid who is 777 00:44:44 --> 00:44:50 asked are rocks alive, and the answer is yes, rocks are alive. 778 00:44:50 --> 00:44:53 But they're only alive until you step on them and then 779 00:44:53 --> 00:44:57 they die, which is kind of reasonable, right. 780 00:44:57 --> 00:44:59 The kid's got presumably some experience with 781 00:44:59 --> 00:45:01 other things like that. 782 00:45:01 --> 00:45:03 This ant -- the ant's alive, I step on it, 783 00:45:03 --> 00:45:05 it's not alive anymore. 784 00:45:05 --> 00:45:07 785 00:45:07 --> 00:45:11 And this kid produces some evidence in favor of this 786 00:45:11 --> 00:45:17 theory, which is if you look on a path, how big are 787 00:45:17 --> 00:45:21 the rocks on average? 788 00:45:21 --> 00:45:24 You could take a walk in the woods down a rocky kind of 789 00:45:24 --> 00:45:26 path, there are rocks on it, they're kind of small rocks. 790 00:45:26 --> 00:45:30 You look off across at the mountains, how 791 00:45:30 --> 00:45:32 big are the rocks? 792 00:45:32 --> 00:45:33 They're huge. 793 00:45:33 --> 00:45:34 What's going on here? 794 00:45:34 --> 00:45:36 Well, on a path people are walking all the time so the 795 00:45:36 --> 00:45:41 rocks die real young and they never get to grow big. 796 00:45:41 --> 00:45:44 Whereas the rocks off the path out in the mountains, they got 797 00:45:44 --> 00:45:46 to grow to be really big rocks. 798 00:45:46 --> 00:45:50 It's not a correct theory, but you can see the kid 799 00:45:50 --> 00:45:52 using the data he's got. 800 00:45:52 --> 00:45:54 right, a certain amount of data there. 801 00:45:54 --> 00:45:57 If I step on it, it dies. 802 00:45:57 --> 00:46:00 Maybe that's what happens to rocks and people step more 803 00:46:00 --> 00:46:03 here than they step there, so big rocks, little rocks. 804 00:46:03 --> 00:46:04 It all hangs together. 805 00:46:04 --> 00:46:06 I got a great theory here. 806 00:46:06 --> 00:46:09 807 00:46:09 --> 00:46:11 Another one, are rocks alive? 808 00:46:11 --> 00:46:12 Yes. 809 00:46:12 --> 00:46:13 Can they have babies? 810 00:46:13 --> 00:46:14 Yes. 811 00:46:14 --> 00:46:15 Are all rocks alive? 812 00:46:15 --> 00:46:16 No, some rocks are dead. 813 00:46:16 --> 00:46:19 How can you tell if a rock is dead? 814 00:46:19 --> 00:46:22 Well, the dead ones just lie there. 815 00:46:22 --> 00:46:28 This is capturing the notion that motion is important in 816 00:46:28 --> 00:46:32 little kids' definitions of the notion of aliveness. 817 00:46:32 --> 00:46:36 818 00:46:36 --> 00:46:38 I don't know how many rocks you saw moving under 819 00:46:38 --> 00:46:40 their own power. 820 00:46:40 --> 00:46:44 In any case, you can see the little scientist 821 00:46:44 --> 00:46:45 aspect of this. 822 00:46:45 --> 00:46:47 OK, so what's the starting point here? 823 00:46:47 --> 00:46:50 824 00:46:50 --> 00:46:57 The concepts that you're building seem to have some 825 00:46:57 --> 00:46:59 foundations that can be picked up very early and 826 00:46:59 --> 00:47:01 are probably innate. 827 00:47:01 --> 00:47:04 I'll just talk about two of them here. 828 00:47:04 --> 00:47:08 So concepts like about things like aliveness. 829 00:47:08 --> 00:47:12 If you're going to decide that a thing is alive, you need 830 00:47:12 --> 00:47:14 for starters to know that it is a thing. 831 00:47:14 --> 00:47:19 So you need to have some notion of an object. 832 00:47:19 --> 00:47:21 833 00:47:21 --> 00:47:26 The other thing you need is some notion that objects, 834 00:47:26 --> 00:47:30 classes of objects, have essences -- I think it's on the 835 00:47:30 --> 00:47:38 handout somewhere as -- towards the bottom of page 2 says 836 00:47:38 --> 00:47:41 essence and there's a reference of Susan Gelman's work on 837 00:47:41 --> 00:47:45 psychological essentialism -- the notion of an essence is a 838 00:47:45 --> 00:47:53 property that's not visible or at least not currently visible. 839 00:47:53 --> 00:47:56 In order to have these sort of category things, you've got to 840 00:47:56 --> 00:48:02 have the notion that objects continue to have properties 841 00:48:02 --> 00:48:04 even if you can't see that. 842 00:48:04 --> 00:48:09 So, for example -- well, I won't embarrass anybody -- but 843 00:48:09 --> 00:48:14 there are people here presently who are not moving, 844 00:48:14 --> 00:48:17 who are not, to all appearances, growing. 845 00:48:17 --> 00:48:20 I can't tell from this distance whether they're made of cells 846 00:48:20 --> 00:48:21 and they don't appear to be having babies or 847 00:48:21 --> 00:48:23 anything like that. 848 00:48:23 --> 00:48:29 Nevertheless, I assume that they are alive. 849 00:48:29 --> 00:48:32 That's part of their essence. 850 00:48:32 --> 00:48:36 That this aliveness is something that I attribute 851 00:48:36 --> 00:48:38 to that object without being able to see it. 852 00:48:38 --> 00:48:43 Now what's the evidence that little kids have that? 853 00:48:43 --> 00:48:46 Well, I'll tell you that and then we'll have a break and 854 00:48:46 --> 00:48:49 then we'll go on to the problem of egocentric behavior. 855 00:48:49 --> 00:48:57 856 00:48:57 --> 00:49:00 Let's start with evidence that babies know 857 00:49:00 --> 00:49:04 something about objects. 858 00:49:04 --> 00:49:06 Here's a tube. 859 00:49:06 --> 00:49:08 If I was doing this right, I'd show you that there's 860 00:49:08 --> 00:49:09 nothing in the tube. 861 00:49:09 --> 00:49:12 862 00:49:12 --> 00:49:26 And then I would take a stuffed animal -- he's a duck. 863 00:49:26 --> 00:49:32 we take the duck and he's a squishy duck, so I'm going 864 00:49:32 --> 00:49:34 to stuff him in the tube. 865 00:49:34 --> 00:49:37 866 00:49:37 --> 00:49:39 So the baby's watching all this cool stuff happening here. 867 00:49:39 --> 00:49:42 There's little babies watching this stuff. 868 00:49:42 --> 00:49:50 Then I take Nemo or whatever, my little plush Nemo, and 869 00:49:50 --> 00:49:54 I stuff him in the tube. 870 00:49:54 --> 00:49:57 You with me so far babies? 871 00:49:57 --> 00:50:12 Now, I reach into the tube and I pull out the fish. 872 00:50:12 --> 00:50:16 And you, being good babies, stare at this. 873 00:50:16 --> 00:50:21 You say this is weird stuff because I saw the duck go in 874 00:50:21 --> 00:50:26 first -- this is not quite Spelke's experiment. 875 00:50:26 --> 00:50:28 I realize I'm getting the methods a little screwed up 876 00:50:28 --> 00:50:30 but the principle is right. 877 00:50:30 --> 00:50:33 I saw the duck go in, then the fish went in, and 878 00:50:33 --> 00:50:35 I know about objects. 879 00:50:35 --> 00:50:39 Objects do not interpenetrate. 880 00:50:39 --> 00:50:43 Objects are solid things. 881 00:50:43 --> 00:50:48 If the fish is out here, where'd the duck go? 882 00:50:48 --> 00:50:50 Spelke's done a series of experiments like this that 883 00:50:50 --> 00:50:55 suggest that kids know about object -- babies, young 884 00:50:55 --> 00:50:58 babies, as early as you can successfully test them, so 885 00:50:58 --> 00:51:02 getting very close to being at the starting point -- know 886 00:51:02 --> 00:51:07 about objects, and know a few things about those objects. 887 00:51:07 --> 00:51:10 Notably things like that objects don't interpenetrate. 888 00:51:10 --> 00:51:13 They don't know everything about objects, so they don't, 889 00:51:13 --> 00:51:17 for instance, if you set up some fish and ducky kind of 890 00:51:17 --> 00:51:22 thing that violates the law of gravity, kid doesn't care. 891 00:51:22 --> 00:51:24 They don't seem to be particularly sensitive 892 00:51:24 --> 00:51:25 to gravity. 893 00:51:25 --> 00:51:29 Yet a two-year old in his high chair -- two-year old in the 894 00:51:29 --> 00:51:32 high chair thinks gravity's great. 895 00:51:32 --> 00:51:34 Here's the hot dog. 896 00:51:34 --> 00:51:38 OK, so dad picks up the hot dog and puts it back on the plate 897 00:51:38 --> 00:51:41 and the kid drops it again, because he's a little 898 00:51:41 --> 00:51:44 scientist, right, you gotta check that gravity is still 899 00:51:44 --> 00:51:47 -- you'll get there. 900 00:51:47 --> 00:51:52 Marrah knows about gravity but her baby doesn't 901 00:51:52 --> 00:51:52 know about it yet. 902 00:51:52 --> 00:51:55 Her baby looks at gravity demonstrations and says 903 00:51:55 --> 00:51:56 this is really boring. 904 00:51:56 --> 00:52:01 But her baby knows that the fish cannot go 905 00:52:01 --> 00:52:03 through the duck. 906 00:52:03 --> 00:52:07 It just would be bad news for the duck. 907 00:52:07 --> 00:52:09 Babies don't care about inertia either. 908 00:52:09 --> 00:52:12 Things like object in motion continue in motion 909 00:52:12 --> 00:52:13 unless acted on by--. 910 00:52:13 --> 00:52:16 Tell that to a baby, the baby says yeah, right. 911 00:52:16 --> 00:52:17 Don't care about that. 912 00:52:17 --> 00:52:22 But I know that that fish does not go through the duck. 913 00:52:22 --> 00:52:24 So that's this notion of objects. 914 00:52:24 --> 00:52:25 What about essence? 915 00:52:25 --> 00:52:32 Well essence is harder to get to in early childhood. 916 00:52:32 --> 00:52:35 It's harder to ask the question, but by the time you 917 00:52:35 --> 00:52:42 get to -- how old are we in this experiment -- you're 918 00:52:42 --> 00:52:44 like two or three years old, but you're doing 919 00:52:44 --> 00:52:45 something like this. 920 00:52:45 --> 00:52:53 You take the duck and you say see this duck, what we're going 921 00:52:53 --> 00:52:55 to do is we're going to do an operation on the duck. 922 00:52:55 --> 00:52:58 I promise it's not going to hurt the duck. 923 00:52:58 --> 00:53:00 But we're going to take off his skin and we're going to 924 00:53:00 --> 00:53:03 put raccoon skin on him. 925 00:53:03 --> 00:53:05 He's going to look just like a raccoon. 926 00:53:05 --> 00:53:11 927 00:53:11 --> 00:53:15 OK, is this a duck or a raccoon? 928 00:53:15 --> 00:53:17 As soon as the kid can meaningfully answer the 929 00:53:17 --> 00:53:20 question for you, to kid will say that's a duck. 930 00:53:20 --> 00:53:23 I mean you dressed him up like a raccoon but he's a duck. 931 00:53:23 --> 00:53:26 Inside he's got duck essence -- he doesn't say anything about 932 00:53:26 --> 00:53:30 duck essence, but he knows that there's a core of duckness that 933 00:53:30 --> 00:53:34 is not dependent on looking exactly like a duck. 934 00:53:34 --> 00:53:40 935 00:53:40 --> 00:53:44 How many of you are familiar with the classic Pepe 936 00:53:44 --> 00:53:47 Le Pew cartoons? 937 00:53:47 --> 00:53:49 Yeah, it's Cartoon Network stuff. 938 00:53:49 --> 00:53:51 The basic plot, there's a whole bunch of these, but the basic 939 00:53:51 --> 00:53:52 plot is always the same. 940 00:53:52 --> 00:54:01 Pepe Le Pew is a French skunk, a French lover skunk. 941 00:54:01 --> 00:54:07 And this cat, female cat, gets a white stripe down her back by 942 00:54:07 --> 00:54:11 some paint or something like that and Pepe spends the next 943 00:54:11 --> 00:54:15 five minutes of the cartoon chasing her around trying to 944 00:54:15 --> 00:54:17 get her to fall in love and she doesn't want to fall in love 945 00:54:17 --> 00:54:20 because she knows he's a skunk and she knows that 946 00:54:20 --> 00:54:20 she's not a skunk. 947 00:54:20 --> 00:54:24 What's funny about this, the reason this is funny for little 948 00:54:24 --> 00:54:28 kids, is that little kids know that the fact that she's got a 949 00:54:28 --> 00:54:32 white stripe down her doesn't make her into a skunk. 950 00:54:32 --> 00:54:36 She's still a cat who happens to look like a skunk and isn't 951 00:54:36 --> 00:54:40 that funny because the skunk is chasing around after her and 952 00:54:40 --> 00:54:42 getting hit in the head with bats and stuff like that, and 953 00:54:42 --> 00:54:46 all the good things that happen in cartoons. 954 00:54:46 --> 00:54:50 So, not only do kids know that things have an essence like 955 00:54:50 --> 00:54:55 that, they are also, to be a little recursive here, they're 956 00:54:55 --> 00:54:58 innate nativists it appears. 957 00:54:58 --> 00:55:01 They believe that these properties came with the 958 00:55:01 --> 00:55:03 system and were not learned. 959 00:55:03 --> 00:55:07 So, Susan Gelman did a clever experiment where what she did 960 00:55:07 --> 00:55:13 was she said, see this kangaroo? 961 00:55:13 --> 00:55:18 Take this kangaroo -- this is a baby kangaroo, it's a newborn 962 00:55:18 --> 00:55:21 kangaroo, and you know what we're going to do, we're going 963 00:55:21 --> 00:55:25 to take care her and we're going to give her to the goats 964 00:55:25 --> 00:55:30 and she's going to get raised by the goats. 965 00:55:30 --> 00:55:32 Now she's all grown up. 966 00:55:32 --> 00:55:35 Let me ask you a few questions about her. 967 00:55:35 --> 00:55:38 Does she have a pouch? 968 00:55:38 --> 00:55:41 Well, yeah sure, that's pretty straightforward. 969 00:55:41 --> 00:55:42 That's not the interesting question. 970 00:55:42 --> 00:55:46 The interesting question is is she going to be 971 00:55:46 --> 00:55:49 hopper or a climber? 972 00:55:49 --> 00:55:54 And little kids -- two, three year old kids will say 973 00:55:54 --> 00:55:57 it's going to be a hopper. 974 00:55:57 --> 00:56:01 975 00:56:01 --> 00:56:05 It was a kangaroo at birth, kangaroo's hop. 976 00:56:05 --> 00:56:06 It's part of their essence. 977 00:56:06 --> 00:56:13 The fact that she lived with the goats isn't 978 00:56:13 --> 00:56:15 going to change that. 979 00:56:15 --> 00:56:21 This is the amusement value of the Disney Tarzan 980 00:56:21 --> 00:56:22 cartoon, right. 981 00:56:22 --> 00:56:26 Tarzan gets raised by the gorillas. 982 00:56:26 --> 00:56:29 Have you seen that? 983 00:56:29 --> 00:56:30 Oh man, when did that come out? 984 00:56:30 --> 00:56:33 985 00:56:33 --> 00:56:36 I got to calibrate my Disneyness here. 986 00:56:36 --> 00:56:38 Which Disney movies came out when you were of 987 00:56:38 --> 00:56:40 an age to watch them? 988 00:56:40 --> 00:56:42 AUDIENCE: Alladin. 989 00:56:42 --> 00:56:43 PROFESSOR: Alladin. 990 00:56:43 --> 00:56:46 Oh, you were too old when Tarzan came out. 991 00:56:46 --> 00:56:49 992 00:56:49 --> 00:56:54 You're the Alladin cohort. 993 00:56:54 --> 00:56:56 Jungle Book came out when I was a kid. 994 00:56:56 --> 00:56:59 Well, no not quite. 995 00:56:59 --> 00:57:02 996 00:57:02 --> 00:57:04 The ones that came out when I was a kid were things like 997 00:57:04 --> 00:57:08 Sword and the Stone, I thought that was great. 998 00:57:08 --> 00:57:10 That was good stuff. 999 00:57:10 --> 00:57:13 And don't claim that I was a kid when Snow White came 1000 00:57:13 --> 00:57:14 out -- that was my father. 1001 00:57:14 --> 00:57:17 1002 00:57:17 --> 00:57:26 So, Jungle Book works, right, and you get raised by the wild 1003 00:57:26 --> 00:57:32 animals, but you're essentially a human and that eventually 1004 00:57:32 --> 00:57:35 catches up with you. 1005 00:57:35 --> 00:57:42 Actually, kids are incorrect nativists because they believe 1006 00:57:42 --> 00:57:44 things that turn out -- and it's true that the kangaroo 1007 00:57:44 --> 00:57:50 will probably hop even if it gets raised by a goat. 1008 00:57:50 --> 00:57:57 But suppose we have here a Chinese baby and we take this 1009 00:57:57 --> 00:58:03 Chinese baby and we bring it to the United States and 1010 00:58:03 --> 00:58:06 it's raised in California. 1011 00:58:06 --> 00:58:09 1012 00:58:09 --> 00:58:14 When that kid grows up, will she be able to speak Chinese? 1013 00:58:14 --> 00:58:15 It depends on the--. 1014 00:58:15 --> 00:58:15 What? 1015 00:58:15 --> 00:58:16 AUDIENCE: [INAUDIBLE]. 1016 00:58:16 --> 00:58:19 1017 00:58:19 --> 00:58:21 PROFESSOR: It depends on the neighborhood. 1018 00:58:21 --> 00:58:26 But kids aren't quite clear on these demographic 1019 00:58:26 --> 00:58:27 issues in the same way. 1020 00:58:27 --> 00:58:33 But a little kid will figure incorrectly that language is 1021 00:58:33 --> 00:58:35 one of these essential properties. 1022 00:58:35 --> 00:58:38 That if you're Chinese, that means you can speak -- 1023 00:58:38 --> 00:58:39 you might be able to speak English, too. 1024 00:58:39 --> 00:58:41 You could learn that, they can figure that out. 1025 00:58:41 --> 00:58:46 But you'd have a privileged ability to speak Chinese 1026 00:58:46 --> 00:58:50 because after all, you were a Chinese kid and 1027 00:58:50 --> 00:58:51 that ought to work. 1028 00:58:51 --> 00:58:56 If you're a Chinese kids who grew up in an Anglo linguistic 1029 00:58:56 --> 00:58:58 environment, you may have discovered that there were 1030 00:58:58 --> 00:59:00 plenty of your relatives who also thought you should be 1031 00:59:00 --> 00:59:04 able to speak Chinese, but that's a different issue. 1032 00:59:04 --> 00:59:09 In any case, little kids start certainly with the notion of 1033 00:59:09 --> 00:59:15 objectness and probably quite early with the notion that 1034 00:59:15 --> 00:59:19 objects have essences, and then they bild on that in this 1035 00:59:19 --> 00:59:26 little scientist kind of a way to get closer and closer to 1036 00:59:26 --> 00:59:29 what we consider to be the adult concept of whatever, 1037 00:59:29 --> 00:59:37 alive or kangaroo or any of those sorts of things. 1038 00:59:37 --> 00:59:40 Here's the case where the adult state is not particularly 1039 00:59:40 --> 00:59:46 fixed, but we're nevertheless, what you're doing is you're 1040 00:59:46 --> 00:59:49 elaborating on juvenile concepts, not suddenly 1041 00:59:49 --> 00:59:51 discovering the notion that there is such a 1042 00:59:51 --> 00:59:54 thing as a concept. 1043 00:59:54 --> 00:59:58 OK, I want to do egocentrism still, but I will start doing 1044 00:59:58 --> 00:59:59 that when that thing says 3:10. 1045 00:59:59 --> 01:03:16 BREAK IN LECTURE 1046 01:03:16 --> 01:03:18 Let us talk about egocentrism. 1047 01:03:18 --> 01:03:25 So, you will recall that the basic problem here was that the 1048 01:03:25 --> 01:03:29 kid seemed unable to take the point of view of another, in 1049 01:03:29 --> 01:03:32 this case, the mother on the other side of this table. 1050 01:03:32 --> 01:03:38 The kid asked about things like the river and the hut, claimed 1051 01:03:38 --> 01:03:41 that the mom could see them, even though mom couldn't see 1052 01:03:41 --> 01:03:43 them, only the kid could see them. 1053 01:03:43 --> 01:03:46 1054 01:03:46 --> 01:03:50 You can get kids to perform quite well on this task if you 1055 01:03:50 --> 01:03:55 come from like Nebraska instead of coming from the Alps. 1056 01:03:55 --> 01:04:02 So, in one version of this experiment -- so I think 1057 01:04:02 --> 01:04:06 the answer is that four year olds failed this. 1058 01:04:06 --> 01:04:11 You can get three-year olds to be successful in an equivalent 1059 01:04:11 --> 01:04:16 task, if what you do is just simplify the situation. 1060 01:04:16 --> 01:04:18 So there's a version of this that may have a picture in the 1061 01:04:18 --> 01:04:22 book still, I don't remember, of sort of a city block with a 1062 01:04:22 --> 01:04:26 car in it and a Sesame Street character. 1063 01:04:26 --> 01:04:29 You drive Grover around the block or something and 1064 01:04:29 --> 01:04:32 ask questions about that much simpler situation. 1065 01:04:32 --> 01:04:38 Then the kid can successfully answer questions from the 1066 01:04:38 --> 01:04:45 vantage point of the mother, as if part of the issue here was 1067 01:04:45 --> 01:04:48 that the task was just too complicated. 1068 01:04:48 --> 01:04:50 Oh, I never mentioned the M&M's are under there somewhere. 1069 01:04:50 --> 01:04:52 I never mentioned well why is that the kids 1070 01:04:52 --> 01:04:53 bombed the M&M task. 1071 01:04:53 --> 01:04:59 That seems to be an issue where you're asking kids who haven't 1072 01:04:59 --> 01:05:03 gotten to the successful counting stage to do this and 1073 01:05:03 --> 01:05:05 they can't do it either with the numerosity or the 1074 01:05:05 --> 01:05:07 subitizing piece, so they fail the task. 1075 01:05:07 --> 01:05:11 If you make the M&M task, if you put that into either the 1076 01:05:11 --> 01:05:14 numerosity range or the subitizing range, little kids 1077 01:05:14 --> 01:05:16 will succeed in doing the task. 1078 01:05:16 --> 01:05:20 So if you say would you rather have this pile with two M&Ms 1079 01:05:20 --> 01:05:24 or three M&Ms, little kids don't bomb that. 1080 01:05:24 --> 01:05:28 They bomb five versus six or six versus eight, 1081 01:05:28 --> 01:05:29 things like that. 1082 01:05:29 --> 01:05:32 And a similar sort of thing seems to be going on here that 1083 01:05:32 --> 01:05:37 the task is in some fashion a little too complicated 1084 01:05:37 --> 01:05:37 for them. 1085 01:05:37 --> 01:05:39 How far can we push this back? 1086 01:05:39 --> 01:05:43 Well, if you take two year olds, suppose you take two 1087 01:05:43 --> 01:05:46 year olds and you give them a pair of sunglasses. 1088 01:05:46 --> 01:05:49 Put the sunglasses on the kid, kid looks around for a while. 1089 01:05:49 --> 01:05:52 Now we take the sunglasses, they may have been 1090 01:05:52 --> 01:05:53 mirrored shades even. 1091 01:05:53 --> 01:05:59 Put the sunglasses on mommy and you ask can mommy see you? 1092 01:05:59 --> 01:06:02 Well, you can't see mommy's eyes anymore because of the 1093 01:06:02 --> 01:06:05 glasses, but the kid, even a two year old will be able to 1094 01:06:05 --> 01:06:08 say yes, indeed mommy can see me, even though I cannot 1095 01:06:08 --> 01:06:09 see mommy's eyes. 1096 01:06:09 --> 01:06:13 Normally, if mommy is doing this, it's a pretty good bet 1097 01:06:13 --> 01:06:15 that mommy can't see you. 1098 01:06:15 --> 01:06:19 That's the root of a lot of entertaining games. 1099 01:06:19 --> 01:06:28 But they can manage to solve the problem, if it's 1100 01:06:28 --> 01:06:34 simplified to the point of sunglasses on or off. 1101 01:06:34 --> 01:06:39 This if I can see you, can you see me thing, you can see, as 1102 01:06:39 --> 01:06:44 you get more and more complicated, that it takes you 1103 01:06:44 --> 01:06:47 longer and longer to solve the more and more complicated 1104 01:06:47 --> 01:06:49 versions of it. 1105 01:06:49 --> 01:06:52 You don't remember what it was like to be thinking when you 1106 01:06:52 --> 01:06:55 were a two year old, but you may remember a stage later in 1107 01:06:55 --> 01:07:00 your life when it was not clear to you how mirrors worked. 1108 01:07:00 --> 01:07:04 That if a can see b, b can see a in a mirror. 1109 01:07:04 --> 01:07:08 This is the sort of thing that amuses early 1110 01:07:08 --> 01:07:10 school age kids often. 1111 01:07:10 --> 01:07:11 I can see around the corner. 1112 01:07:11 --> 01:07:14 I can see dad around the corner there. 1113 01:07:14 --> 01:07:18 I bet he can't see me, and it comes as a shock that dad can 1114 01:07:18 --> 01:07:22 see you, because the mirror kind of works both ways, and 1115 01:07:22 --> 01:07:26 then there are more complicated arrangements with keyholes and 1116 01:07:26 --> 01:07:30 stuff like that where it takes even longer to be able to take 1117 01:07:30 --> 01:07:31 the point of the person on the other side. 1118 01:07:31 --> 01:07:38 So, some aspect of this is simply a matter of complexity. 1119 01:07:38 --> 01:07:42 In fact, Paul Bloom and his student -- actually, I should 1120 01:07:42 --> 01:07:45 mention Paul Bloom is married to Karen Wynn. 1121 01:07:45 --> 01:07:50 They were both TAs for this course and are now both 1122 01:07:50 --> 01:07:51 professors at Yale. 1123 01:07:51 --> 01:07:54 Anyway, Paul works on similar sorts of problems and 1124 01:07:54 --> 01:07:58 talks about the curse of knowledge that shows up 1125 01:07:58 --> 01:08:00 in adult behavior, too. 1126 01:08:00 --> 01:08:03 That it's very difficult, it's often very difficult to 1127 01:08:03 --> 01:08:09 remember that somebody else doesn't know what you know. 1128 01:08:09 --> 01:08:16 So, it's a problem for me teaching. 1129 01:08:16 --> 01:08:18 The things that are hardest to teach are the things that I 1130 01:08:18 --> 01:08:19 don't know anything about. 1131 01:08:19 --> 01:08:20 That's not surprising. 1132 01:08:20 --> 01:08:23 The second hardest category are things that I know too much 1133 01:08:23 --> 01:08:28 about, because it's hard to remember how little you 1134 01:08:28 --> 01:08:29 know about vision. 1135 01:08:29 --> 01:08:33 How can it be that you haven't actually spent the last 18 1136 01:08:33 --> 01:08:39 years of your life bathed in visual phenomenology. 1137 01:08:39 --> 01:08:41 You can try using that as an excuse on the 1138 01:08:41 --> 01:08:42 exam but forget it. 1139 01:08:42 --> 01:08:44 We'll still take the points off. 1140 01:08:44 --> 01:08:48 That turns out to be an example of the curse of knowledge. 1141 01:08:48 --> 01:08:53 Or another example would be if you've ever been giving 1142 01:08:53 --> 01:08:56 somebody directions while you're sitting next to them in 1143 01:08:56 --> 01:09:00 the car, you might discover that you go past the street 1144 01:09:00 --> 01:09:01 where they were supposed to turn because you knew you were 1145 01:09:01 --> 01:09:05 supposed to turn there, and you just kind of forgot that they 1146 01:09:05 --> 01:09:07 wouldn't know that and that's why you were sitting there 1147 01:09:07 --> 01:09:10 supposedly giving them directions. 1148 01:09:10 --> 01:09:14 It's hard, even for adults necessarily. 1149 01:09:14 --> 01:09:17 It's hard for adults sometimes to take the vantage 1150 01:09:17 --> 01:09:22 point of another person. 1151 01:09:22 --> 01:09:31 Now one of the great examples of this in kid behavior, a 1152 01:09:31 --> 01:09:34 paradigm that's yielded an awful lot of research. 1153 01:09:34 --> 01:09:37 This gives you some insight into this, if you like this 1154 01:09:37 --> 01:09:40 curse of knowledge problem, is what's known as the 1155 01:09:40 --> 01:09:44 false beliefs task. 1156 01:09:44 --> 01:09:47 The first false belief you need is that this is Big 1157 01:09:47 --> 01:09:51 Bird from Sesame Street. 1158 01:09:51 --> 01:09:57 So here's how a typical false belief task experiment 1159 01:09:57 --> 01:09:59 might work. 1160 01:09:59 --> 01:10:00 You're watching this. 1161 01:10:00 --> 01:10:06 Big Bird comes in to the scene and he has candy. 1162 01:10:06 --> 01:10:13 He puts the candy in the refrigerator and he goes out. 1163 01:10:13 --> 01:10:17 1164 01:10:17 --> 01:10:25 Now, I didn't draw Grover or whatever, but Grover comes 1165 01:10:25 --> 01:10:30 in, takes the candy out of the refrigerator and 1166 01:10:30 --> 01:10:34 puts in the drawer. 1167 01:10:34 --> 01:10:38 Now, Big Bird comes back in -- he didn't see 1168 01:10:38 --> 01:10:40 this abut you saw this. 1169 01:10:40 --> 01:10:46 Big Bird comes back in and you are asked where will Big 1170 01:10:46 --> 01:10:49 Bird look for the candy? 1171 01:10:49 --> 01:10:54 And your answer, if you're like a four year old, is that Big 1172 01:10:54 --> 01:10:56 Bird will look in the drawer. 1173 01:10:56 --> 01:11:03 You cannot somehow access the fact that Big Bird thinks 1174 01:11:03 --> 01:11:12 in his brain that the candy's in the fridge. 1175 01:11:12 --> 01:11:18 When you updated your knowledge about the candy, you updated 1176 01:11:18 --> 01:11:25 his knowledge about the candy, too, in some fashion. 1177 01:11:25 --> 01:11:30 Now there are endless versions of this experiment. 1178 01:11:30 --> 01:11:36 This is a task that younger than four will fail, older than 1179 01:11:36 --> 01:11:40 four roughly will tend to get. 1180 01:11:40 --> 01:11:43 There are endless tasks that look at this and try to break 1181 01:11:43 --> 01:11:47 it apart, see what's going on here in developing this ability 1182 01:11:47 --> 01:11:53 to take into account what is in the mind of another person or 1183 01:11:53 --> 01:11:57 bird, as the case may be. 1184 01:11:57 --> 01:12:00 This is sometimes talked about as mind reading and is 1185 01:12:00 --> 01:12:05 sometimes described as the major social problem in autism. 1186 01:12:05 --> 01:12:11 That maybe one of the reasons that autistic kids and adults 1187 01:12:11 --> 01:12:17 have a real problem relating to other people is an inability to 1188 01:12:17 --> 01:12:22 understand that other people have mental states, which you 1189 01:12:22 --> 01:12:27 have that ability, but here, you as a four year old, have 1190 01:12:27 --> 01:12:31 failed to manage to keep track of Big Bird's mental state. 1191 01:12:31 --> 01:12:34 Let's do a variation on this. 1192 01:12:34 --> 01:12:37 So, here's a variation where you don't see 1193 01:12:37 --> 01:12:38 that initial scene. 1194 01:12:38 --> 01:12:43 1195 01:12:43 --> 01:12:50 Now you are asked to guess -- the candy is 1196 01:12:50 --> 01:12:53 either here or here. 1197 01:12:53 --> 01:12:58 Where do you think that the candy might be? 1198 01:12:58 --> 01:13:01 Well, you say 50/50. 1199 01:13:01 --> 01:13:04 Oh, I think the candy's in the drawer. 1200 01:13:04 --> 01:13:08 OK, now Big Bird comes in and you're told well, you know, Big 1201 01:13:08 --> 01:13:09 Bird thinks it's in the fridge. 1202 01:13:09 --> 01:13:12 1203 01:13:12 --> 01:13:15 Where's Big Bird going to look? 1204 01:13:15 --> 01:13:18 The answer now is, even if you're as young as three, that 1205 01:13:18 --> 01:13:22 you say Big Bird's going to look in the fridge. 1206 01:13:22 --> 01:13:28 Your guess isn't strong enough to overwrite your understanding 1207 01:13:28 --> 01:13:29 of what's going on in Big Bird's head. 1208 01:13:29 --> 01:13:30 This tells you something important. 1209 01:13:30 --> 01:13:38 This tells you immediately that you're capable of understanding 1210 01:13:38 --> 01:13:41 something about the contents of Big Bird's head. 1211 01:13:41 --> 01:13:45 It's not a complete blank to you. 1212 01:13:45 --> 01:13:50 Even younger than that, little kids can see somebody playing 1213 01:13:50 --> 01:13:55 with a banana pretending it's a phone, right, and you ask does 1214 01:13:55 --> 01:13:59 he know that it's not a phone? 1215 01:13:59 --> 01:13:59 Yeah, yeah. 1216 01:13:59 --> 01:14:02 The two year old will tell you, yeah, he's just pretending. 1217 01:14:02 --> 01:14:05 And that you have the notion that somebody else could 1218 01:14:05 --> 01:14:10 pretend to pretend something. 1219 01:14:10 --> 01:14:12 So again, you can push this notion of being able to 1220 01:14:12 --> 01:14:17 read minds back earlier if it gets simpler. 1221 01:14:17 --> 01:14:21 And maybe this isn't really about the contents of 1222 01:14:21 --> 01:14:23 Big Bird's mind it all. 1223 01:14:23 --> 01:14:25 Here's a cute version of the experiment done by 1224 01:14:25 --> 01:14:26 Debbie [? Zicheck ?] 1225 01:14:26 --> 01:14:28 once upon a time. 1226 01:14:28 --> 01:14:33 Big Bird comes in, it's the original false belief game. big 1227 01:14:33 --> 01:14:38 Bird comes in, puts the candy in the fridge, but this time 1228 01:14:38 --> 01:14:42 Big Bird takes out his camera and he photographs it. 1229 01:14:42 --> 01:14:48 He's got a picture of it. 1230 01:14:48 --> 01:14:51 There's the candy in the fridge. 1231 01:14:51 --> 01:14:58 Now, Big Bird goes out and Grover comes in, moves the 1232 01:14:58 --> 01:15:01 candy to the drawer, you now know that the candy 1233 01:15:01 --> 01:15:02 is in the drawer. 1234 01:15:02 --> 01:15:05 Big Bird comes in, you are asked where's Big Bird going 1235 01:15:05 --> 01:15:07 to look for the candy? 1236 01:15:07 --> 01:15:11 Even though Big Bird has taken a picture of it, even though 1237 01:15:11 --> 01:15:15 there's now a physical instantiation of the contents 1238 01:15:15 --> 01:15:18 of Big Bird's mind, you still say it's in the drawer. 1239 01:15:18 --> 01:15:20 You as a four year old are still unable to 1240 01:15:20 --> 01:15:22 keep track of this. 1241 01:15:22 --> 01:15:26 This suggests that maybe the problem is less with your 1242 01:15:26 --> 01:15:30 ability to see into somebody else's mind, and more with 1243 01:15:30 --> 01:15:34 something like the capacity of your working memory. 1244 01:15:34 --> 01:15:36 So, if you think about it this is very parallel 1245 01:15:36 --> 01:15:37 to [? Lofta's ?] 1246 01:15:37 --> 01:15:38 experiment I talked about either last time or 1247 01:15:38 --> 01:15:40 the time before. 1248 01:15:40 --> 01:15:42 You see somebody go through a yield sign. 1249 01:15:42 --> 01:15:48 You later hear that it was a stop sign, and you believe, you 1250 01:15:48 --> 01:15:51 come to have a false memory or a false belief, if you like, 1251 01:15:51 --> 01:15:54 that it really was a stop sign, because we've managed to 1252 01:15:54 --> 01:15:57 somehow overwrite your memory here. 1253 01:15:57 --> 01:16:02 Maybe in this case what you're dealing with is not a 1254 01:16:02 --> 01:16:06 qualitative change where you're seeing a change in the ability 1255 01:16:06 --> 01:16:09 to see into somebody else's mind, but a big enough working 1256 01:16:09 --> 01:16:13 memory that you can keep track of the task. 1257 01:16:13 --> 01:16:19 So, another case where the development here waits on the 1258 01:16:19 --> 01:16:23 development of another ability, a separate ability in this 1259 01:16:23 --> 01:16:26 case, working memory. 1260 01:16:26 --> 01:16:29 OK, that's as good a place to stop as any. 1261 01:16:29 --> 01:16:31