Эпизоды
-
Information on the class -- grading, sections, homework; and an introduction to what logic is, and how we will be approaching it in this class.
-
Information on the class -- grading, sections, homework; and an introduction to what logic is, and how we will be approaching it in this class.
-
Пропущенные эпизоды?
-
Here we begin describing the formal structures underlying reasoning - arguments, statements, and the recursive nature of statement operators.
-
Here we begin describing the formal structures underlying reasoning - arguments, statements, and the recursive nature of statement operators.
-
Translating natural language into the formal notation of sentential logic, including necessary & sufficient conditions, and recursively structured compound statements.
-
Translating natural language into the formal notation of sentential logic, including necessary & sufficient conditions, and recursively structured compound statements.
-
Discussion of functions, truth functions, the truth functions symbolized by statement operators, and the construction of truth tables to evaluate compound expressions.
-
Discussion of functions, truth functions, the truth functions symbolized by statement operators, and the construction of truth tables to evaluate compound expressions.
-
Using truth tables to assess relations of equivalence, consistency and implication among sets of statements; and assessing argument validity.
-
Using truth tables to assess relations of equivalence, consistency and implication among sets of statements; and assessing argument validity.
-
An introduction to the proof method in sentential logic, with examples using five inference rules (MP, MT, DS, HS, simp).
-
An introduction to the proof method in sentential logic, with examples using five inference rules (MP, MT, DS, HS, simp).
-
Additional inference rules (dil, DI, conj), and three replacement rules (CE, DN, comm). Examples of more complicated proofs.
-
Additional inference rules (dil, DI, conj), and three replacement rules (CE, DN, comm). Examples of more complicated proofs.
-
Introduction of final seven replacement rules (DeM, BE, contra, dist, exp, assoc, dup); and introduction to the method of indirect proof.
-
Introduction of final seven replacement rules (DeM, BE, contra, dist, exp, assoc, dup); and introduction to the method of indirect proof.
-
Introduction to conditional proof; multiple and nested subproofs; using the proof method to verify that a statement is a tautology.
-
Introduction to conditional proof; multiple and nested subproofs; using the proof method to verify that a statement is a tautology.
-
Clarification of issues that often cause problems, including: negation, the interpretation of statement variables and operator specificity in rule schematics, and requirements on subproofs.
-
Clarification of issues that often cause problems, including: negation, the interpretation of statement variables and operator specificity in rule schematics, and requirements on subproofs.
- Показать больше
