Wittgenstein's Philosophy of Mathematics

Wittgenstein's Philosophy of Mathematics

by Pasquale Frascolla
     
 

ISBN-10: 0415024838

ISBN-13: 9780415024839

Pub. Date: 10/24/1994

Publisher: Taylor & Francis

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

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Overview

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'.

Product Details

ISBN-13:
9780415024839
Publisher:
Taylor & Francis
Publication date:
10/24/1994
Edition description:
ANN
Pages:
200
Product dimensions:
6.14(w) x 9.21(h) x 0.56(d)

Table of Contents

Preface
Abbreviations
1The Philosophy of Arithmetic of the Tractatus1
Preliminaries1
Systematic exposition8
The "knowledge" of forms: vision and calculation23
Foundations of mathematics (I)33
2Verificationism and its Limits: The intermediate phase (1929-33)42
Introduction42
Finite cardinal numbers: the arithmetic of strokes44
Mathematical propositions54
The mathematical infinite72
Foundations of mathematics (II)99
3From Facts to Concepts: The later writings on mathematics (1934-44)111
The crisis of verificationism: rule-following111
Mathematical proofs as paradigms128
The problem of strict finitism142
Wittgenstein's quasi-revisionism157
Notes174
References185

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