Lectures related to Contradiction

Covers translating natural language to propositional logic and proving tautologies.

Covers optimization algorithms, stable matching, and Big-O notation for algorithm efficiency.

Introduces propositional logic, logical connectives, implications, and equivalences, with examples and facts about tautology and contradiction.

Explores prime numbers and Euclid's Theorem through a proof by contradiction.

Covers examples of relation composition, Cartesian product, and injective functions.

Covers the concepts of contraposition and contradiction in proofs.

Explores differentiability, propositions evaluation, and solutions to equations using derivatives.

Covers examples of direct and indirect proofs in mathematics.

Explores sub/super harmonic functions and their applications in a theoretical context.

Covers countability and bijections between sets, demonstrating the uncountability of real numbers.

Explores the equivalence of definitions for functions with limits, emphasizing rigorous mathematical reasoning.

Covers constructing and proving logical equivalences, including De Morgan's Laws and tautology proofs.

Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.

Explores the Wolfe conditions for line search algorithms and proves the finiteness of the line search parameter.

Covers logical connectives, implication, biconditional, compound propositions, and truth tables.

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

Covers the concept of formal proof systems, their structure, and soundness.

Introduces real numbers, including equations like x²=2 with no rational solutions.