Boolean Algebra and Set Theory - Math Foundations - N J Wildberger

Explore the evolution of Boolean algebra and set theory in this 28-minute mathematics lecture. Delve into George Boole's algebraic approach to logic and its transformation into set theory. Learn about Venn diagrams, set operations, and key laws like de Morgan's and distributive laws. Examine these concepts from both truth table and algebraic perspectives. Consider the potential benefits of replacing Boolean algebra with the original Algebra of Boole in engineering education. Gain insights into the foundations of logic, set theory, and their applications in mathematics and engineering.

Introduction
Converting Boolean Algebra expressions into the algebra of Boole
Finite set theory and Venn diagrams
De Morgan's laws
Distributive laws
Proving the distributive laws