小天使 发表于 2025-3-21 16:19:21
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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.托运 发表于 2025-3-22 10:51:51
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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..全部 发表于 2025-3-22 19:15:11
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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 tharpsichord 发表于 2025-3-23 05:14:33
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 extenCoterminous 发表于 2025-3-23 07:28:17
https://doi.org/10.1007/978-3-030-00641-9propositional logic; set theory; proofs; mathematical induction; relations; equivalence relation; order re