Titlebook: Logic, Mathematics, and Computer Science; Modern Foundations w Yves Nievergelt Textbook 2015Latest edition Springer Science+Business Media

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Mathematical Induction: Definitions and Proofs by Induction,esian products of finite sets. Yet another section focuses on denumerable and other not-necessarily finite sets, leading to J. M. Whitaker’s proof of the Bernstein-Cantor-Schr?der Theorem within Zermelo-Fraenkel set theory. The prerequisites for this chapter consist of a working knowledge of first-o

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The Axiom of Choice: Proofs by Transfinite Induction,m of Choice. The material also introduces yet other principles that are logically equivalent to the Axiom of Choice, for example, the principle of the distributivity of intersections over unions of families of sets. Any theory that requires any such equivalent principle thus also requires the Axiom

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Textbook 2015Latest editionided..Answers are found to many questions that usually remain unanswered: Why is the truth table for logical implication so unintuitive? Why are there no recipes to design proofs? Where do these numerous mathematical rules come from? What issues in logic, mathematics, and computer science still rema

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ting.Focuses of foundations, with specific statements of all.This text for the first or second year undergraduate in mathematics, logic, computer science, or social sciences, introduces the reader to logic, proofs, sets, and number theory. It also serves as an excellent independent study reference a

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