| LEC # | TOPICS | KEY DATES |
|---|---|---|
| 1 | Basic notions of logic; arguments; the connectives | |
| 2 | Truth-functionality; introduction to sentential logic (SL) syntax and semantics; translation | |
| 3 | Translation continued; problems with conditionals and other phenomena of natural language; truth-tables | |
| 4 | Truth-tables and logical properties of compound sentences | Problem set 1 due |
| 5 | Entailment and validity with truth-tables | |
| 6 | Derivations in sentential logic (SD) | Problem set 2 due |
| 7 | Derivations in SD/SD+ | |
| 8 | Theorem-proving, review | Problem set 3 due |
| 9 | Introduction to meta-theory; mathematical induction | |
| 10 | Soundness of SD/SD+ | Problem set 4 due |
| 11 | Completeness of SD/SD+ | |
| 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 | Problem set 5 due |
| 14 | Identity; functions, translation to and from predicate logic (PL) | |
| 15 | Translation to and from PL/PLE; "most"; donkey sentences | Problem set 6 due |
| 16 | Informal PL/PLE semantics: Interpretations, substitutions, quantification truth, falsity, consistency, and equivalence, quantificational argument validity | |
| 17 | Formal PL/PLE semantics: Extensions, interpretations, variable assignments, satisfaction, truth and falsity under interpretations and variable assignments | Problem set 7 due |
| 18 | Formal PL/PLE semantics continued; review | |
| 19 | Derivations in PD | Problem set 8 due |
| 20 | Derivations in PD+/PDE | |
| 21 | Derivations in PDE continued; preliminaries for meta-theory | Problem set 9 due |
| 22 | Meta-theory: Soundness of PD, PD+, PDE | |
| 23 | Meta-theory: Completeness of PD | Problem set 10 due |
| 24 | Meta-theory: Completeness continued; PD+; PDE | |
| 25 | Review |