mathematical logic

Introduction to Mathematical Logic and Its Principles

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Introduction à la logique mathématique et ses principes

IN BRIEF Presentation of mathematical logic. Introduction to logical connectors: ¬, ∧, ∨, ⇒, and ⇔. Description of propositions and their value: true or false. Classic statement: example of logical reasoning with Socrates. Distinction between formal logic, material logic, and inductive logic. Importance of symbols and principles in formal demonstrations. Exploration of the fundamental principles … Read more

Understanding famous paradoxes in mathematics

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Comprendre les paradoxes célèbres en mathématiques

IN BRIEF Zenon’s Paradox: Achilles and the tortoise illustrates infinity. Russell’s Paradox: Highlights logical contradictions. The Liar Paradox: A statement that contradicts itself. The Barber Paradox: A classic example of paradoxical logic. The Missing Dollar Puzzle: Raises questions about addition. Ellsberg’s Paradox: Reveals irregularities in probability choices. Hilbert’s Hotel: Exposes the properties of infinity. Goodstein’s … Read more