Set Theory And Its Philosophy

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Set Theory and Its Philosophy

Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. This is a comprehensive philosophical introduction to the field offering a thorough account of cardinal and ordinal arithmetic, and the various axiom candidates.
The Philosophy of Set Theory

DIVBeginning with perspectives on the finite universe and classes and Aristotelian logic, the author examines permutations, combinations, and infinite cardinalities; numbering the continuum; Cantor's transfinite paradise; axiomatic set theory, and more. /div
Quine, New Foundations, and the Philosophy of Set Theory

Author: Sean Morris
language: en
Publisher: Cambridge University Press
Release Date: 2018-12-13
Provides an accessible mathematical and philosophical account of Quine's set theory, New Foundations.