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Inference Rules via the Algebra of Boole - MathFoundations 275

Insights into Mathematics via YouTube

Overview

Explore the introduction of Inference Rules in Propositional Logic through the framework of the Algebra of Boole in this 27-minute mathematics lecture. Learn how this approach provides a simplified technology for establishing logical rules such as Modus Ponens, Modus Tollens, Hypothetical Syllogism, and Disjunctive Syllogism. Discover how this Grade 9 algebra technique can replace the need for memorizing complex logical rules. Apply this knowledge to a Logic Puzzle by Lewis Carroll, gaining insights into the intersection of logic and poetry. Enhance your understanding of mathematical foundations and logical reasoning through this comprehensive exploration of Boolean algebra and its applications in propositional logic.

Syllabus

Inference Rules via the Algebra of Boole | MathFoundations 275 | N J Wildberger

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Insights into Mathematics

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