Wittgenstein's Philosophy of Mathematics.
Title:
Wittgenstein's Philosophy of Mathematics.
Author:
Frascolla, Pasquale.
ISBN:
9780203022467
Personal Author:
Edition:
1st ed.
Physical Description:
1 online resource (201 pages)
Contents:
WITTGENSTEIN'S PHILOSOPHY OF MATHEMATICS -- Copyright -- CONTENTS -- Preface -- Abbreviations -- 1 The Philosophy of Arithmetic of the Tractatus -- Preliminaries -- Systematic exposition -- The "knowledge " of forms: vision and calculation -- Foundations of mathematics (I) -- 2 Verificationism and Its Limits: The intermediate phase (1929-33) -- Introduction -- Finite cardinal numbers: the arithmetic of strokes -- Mathematical propositions -- The mathematical infinite -- Foundations of mathematics (II) -- 3 From Facts to Concepts: The later writings on mathematics (1934-44) -- The crisis of verificationism: rule-following -- Mathematical proofs as paradigms -- The problem of strict finitism -- Wittgenstein's quasi-revisionism -- Notes -- References -- Index.
Abstract:
Wittgenstein's role was vital in establishing mathematics as one of this century's principal areas of philosophic inquiry. In this book, the three phases of Wittgenstein's reflections on mathematics are viewed as a progressive whole, rather than as separate entities. Frascolla builds up a systematic construction of Wittgenstein's representation of the role of arithmetic in the theory of logical operations. He also presents a new interpretation of Wittgenstein's rule-following considerations - the `community view of internal relations'.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
Genre:
Electronic Access:
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