Logic and Sets

This lecture covers the fundamental concepts of logic and sets, focusing on understanding proofs, structures, algorithms, and probabilities. It introduces set notation, operations, and cardinality, along with the principles of subsets, power sets, and set equality. The lecture also delves into the Cartesian product, truth sets of predicates, and set operations like union, intersection, difference, and complement. Additionally, it explores the symmetric difference, generalized unions, and intersections. Through examples and exercises, students learn to apply these concepts in various mathematical contexts.