Lectures related to Logic in Mathematics: Properties and Propositions

Propositional Logic: Inference Rules and Valid Arguments

Covers inference rules in propositional logic and common logical fallacies.

Propositional Logic: Implication and Compound Propositions

Covers logical connectives, implication, biconditional, and compound propositions in propositional logic.

Ordinary Differential Equations: Definitions and Methods

Explores ordinary differential equations, proof methods, and historical examples from Euclid, emphasizing logical reasoning and step-by-step derivations.

Propositional Logic: Normal Forms

Explains constructing DNF and CNF in propositional logic and their complexity.

Propositional Logic: Normal Forms

Explores Disjunctive Normal Form and Conjunctive Normal Form in propositional logic, showing how to construct them and discussing their complexity.

Predicate Logic: Quantifiers and Truth Values

Explores existential quantifiers, truth values, and composite statements in predicate logic.

Propositional Logic: Quiz Answers

Covers the answers to a quiz on propositional logic, emphasizing the importance of clarity in logical statements.

Propositional Logic: Basic Logical Connectives

Covers propositional logic, logical connectives, truth tables, and compound propositions.