Wittgenstein’s Philosophy of Mathematics

Pasquale Frascolla0415024838, 9780415024839, 9780203022467

Wittgenstein played a vital role in establishing mathematics as one of this century’s principal areas of philosophic inquiry. In this book, Pasquale Frascolla examines the three phases of Wittgenstein’s reflections on mathematics, considering them as a progressive whole rather than as separate entities.Frascolla discusses the development of Wittgenstein’s views on mathematics from the Tractatus up to 1944. He looks at the presentation of arithmetic in the theory of logical operations, the presence of a strong verificationist orientation and the rule-following considerations in Wittgenstein’s writings. Frascolla identifies a unifying keya “quasi-formalism”to the development of Wittgenstein’s reflections on mathematics.

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Table of contents :
BOOK COVER……Page 1
TITLE……Page 4
COPYRIGHT……Page 5
CONTENTS……Page 6
1 THE PHILOSOPHY OF ARITHMETIC OF THE TRACTATUS……Page 10
2 VERIFICATIONISM AND ITS LIMITS The intermediate phase 1929 33……Page 51
3 FROM FACTS TO CONCEPTS The later writings on mathematics 1934 44……Page 120
Notes……Page 183
References……Page 194