Information on the class -- grading, sections, homework; and an introduction to what logic is, and how we will be approaching it in this class.

Lecture 01: Audio

Here we begin describing the formal structures underlying reasoning - arguments, statements, and the recursive nature of statement operators.

Lecture 02: Audio

Translating natural language into the formal notation of sentential logic, including necessary &amp; sufficient conditions, and recursively structured compound statements.

Lecture 03: Audio

Discussion of functions, truth functions, the truth functions symbolized by statement operators, and the construction of truth tables to evaluate compound expressions.

Lecture 04: Audio

Using truth tables to assess relations of equivalence, consistency and implication among sets of statements; and assessing argument validity.

Lecture 05: Audio

An introduction to the proof method in sentential logic, with examples using five inference rules (MP, MT, DS, HS, simp).

Lecture 06: Audio

Additional inference rules (dil, DI, conj), and three replacement rules (CE, DN, comm). Examples of more complicated proofs.

Lecture 07: Audio

Introduction of final seven replacement rules (DeM, BE, contra, dist, exp, assoc, dup); and introduction to the method of indirect proof.

Lecture 08: Audio

Introduction to conditional proof; multiple and nested subproofs; using the proof method to verify that a statement is a tautology.

Lecture 09: Audio

Clarification of issues that often cause problems, including: negation, the interpretation of statement variables and operator specificity in rule schematics, and requirements on subproofs.

Lecture 10: Audio

Audio of lectures, and .pdfs of powerpoint slides, for Philosophy 10, Introduciton to Logic, UC San Diego.

Discussion of the following informal fallacies: Genetic fallacy, ad hominem (including several subtypes), and ad populam (including subtypes)

Lecture 11: Audio

Discussion of the following informal fallacies: appeal to pity, straw man, appeal to force, appeal to authority.

Lecture 12: Audio

Discussion of the following informal fallacies: appeal to ignorance, slippery slope, alternate description, composition/division.

Lecture 13: Audio

Discussion of the following informal fallacies: false cause, hasty generalization, weak analogy, begging the question; and formal fallacies of affirming the consequent &amp; denying the antecedent.

Lecture 14: Audio

No new informal fallacies are introduced, rather this is a discussion of additional examples of the fallacies introduced in previous lectures.

Lecture 15: Audio

Logic (Audio w/ .pdfs)

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