Reading assignments are from the required textbook: Bergmann, Merrie, James Moor, and Jack Nelson. The Logic Book. 5th ed. New York, NY: McGraw-Hill, 2008. ISBN: 9780073535630.
| LEC # | TOPICS | READINGS |
|---|---|---|
| 1 | Basic notions of logic; arguments; the connectives | |
| 2 | Truth-functionality; introduction to sentential logic (SL) syntax and semantics; translation | Chapter 1 |
| 3 | Translation continued; problems with conditionals and other phenomena of natural language; truth-tables | Chapter 2 |
| 4 | Truth-tables and logical properties of compound sentences | Chapter 3 |
| 5 | Entailment and validity with truth-tables | |
| 6 | Derivations in sentential logic (SD) | |
| 7 | Derivations in SD/SD+ | Chapter 5 |
| 8 | Theorem-proving, review | Chapter 6.1-6.2 |
| 9 | Introduction to meta-theory; mathematical induction | Chapter 6.3 |
| 10 | Soundness of SD/SD+ | |
| 11 | Completeness of SD/SD+ | Chapter 6.3-6.4 |
| 12 | Introduction to predicate logic: Quantifiers, variables, constants, predicates, universe of discourse | |
| 13 | Open sentences; free vs. bound variables; scope, multiply quantified sentences; definite descriptions; properties of relations | |
| 14 | Identity; functions, translation to and from predicate logic (PL) | Chapter 7.1-7.7 |
| 15 | Translation to and from PL/PLE; “most”; donkey sentences | |
| 16 | Informal PL/PLE semantics: Interpretations, substitutions, quantification truth, falsity, consistency, and equivalence, quantificational argument validity | Chapter 7.8, 8.1-8.4 |
| 17 | Formal PL/PLE semantics: Extensions, interpretations, variable assignments, satisfaction, truth and falsity under interpretations and variable assignments | Chapter 7.9, 8.6 |
| 18 | Formal PL/PLE semantics continued; review | Chapter 8.7 |
| 19 | Derivations in PD | |
| 20 | Derivations in PD+/PDE | Chapter 10.1-10.2 |
| 21 | Derivations in PDE continued; preliminaries for meta-theory | Chapter 10.4 |
| 22 | Meta-theory: Soundness of PD, PD+, PDE | |
| 23 | Meta-theory: Completeness of PD | Chapter 11.3-11.4 |
| 24 | Meta-theory: Completeness continued; PD+; PDE | Chapter 11.1-11.4 |
| 25 | Review |
