Titlebook: An Introduction to the Language of Mathematics; Frédéric Mynard Textbook 2018 Springer Nature Switzerland AG 2018 propositional logic.set

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Cardinality,d study infinite cardinalities and their surprising properties. In particular, we establish that there is an infinite increasing sequence of infinite cardinalities! We conclude with a brief and elementary discussion of issues of independence with the usual axioms, and of consistency.

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Textbook 2018ematics. The last chapter treats infinite cardinalities. An appendix gives some complement on induction and order, and another provides full solutions of the in-text exercises.?..The primary audience is undergraduate mathematics major, but independent readers interested in mathematics can also use the book for self-study..

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en certain mathematical notions and thought processes.Helps.This is a textbook for an undergraduate mathematics major transition course from technique-based mathematics (such as Algebra and Calculus) to proof-based mathematics. It motivates the introduction of the formal language of logic and set t

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Textbook 2018based mathematics. It motivates the introduction of the formal language of logic and set theory and develops the basics with examples, exercises with solutions and exercises without. It then moves to a discussion of proof structure and basic proof techniques, including proofs by induction with exten

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https://doi.org/10.1007/978-3-030-00641-9propositional logic; set theory; proofs; mathematical induction; relations; equivalence relation; order re