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Intuitive Axiomatic Set Theory (Textbooks in Mathematics) by José Luis García is a nonfiction available to read on EtoBox.

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Main subject categories: • Set theory • Zermelo-Fraenkel set theory • Maps • Orderings • Equivalences • Infinity • Pure sets • Ordinals • ZF-Universes • Cardinals • Axiom of choice • Independence results • Generic extensions of a universe • Independence proofsSet theory can be rigorously and profitably studied through an intuitive approach, thus independently of formal logic. Nearly every branch of Mathematics depends upon set theory and thus knowledge of set theory is of interest to every mathematician. This book is addressed to all mathematicians and tries to convince them that this intuitive approach to axiomatic set theory is not only possible, but also valuable. The book has two parts. The first one presents, from the sole intuition just mentioned of 'collection' and 'object', the axiomatic ZFC-theory. Then we present the basics of the theory: the axioms, well-orderings, ordinals and cardinals are the main subjects of this part. In all, one could say that we give some standard interpretation of set theory; but this standard interpretation results in a multiplicity of universes. The second part of the book deals with the independence proofs of the continuum hypothesis (CH) and

Who reads Intuitive Axiomatic Set Theory (Textbooks in Mathematics)?

Author

José Luis García

Publisher

CRC Press / Chapman and Hall; Taylor & Francis Group, LLC

Published

2024

Language

EN

ISBN

9781032584010

Category

nonfiction

Subjects

Mathematics, Logic, Stem