Wittgenstein's philosophy of mathematics / Pasquale Frascolla.

Format:

Book

Author/Creator:

Frascolla, Pasquale, 1952-

Language:

English

Subjects (All):

Wittgenstein, Ludwig, 1889-1951.

Wittgenstein, Ludwig.

Mathematics--Philosophy.

Mathematics.

Physical Description:

1 online resource (201 p.)

Edition:

1st ed.

Place of Publication:

London ; New York : Routledge, 1994.

Language Note:

English

Summary:

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'.

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 paradigmsThe problem of strict finitism; Wittgenstein's quasi-revisionism; Notes; References; Index

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 185-187) and index.

ISBN:

1-134-97436-1

1-134-97437-X

1-283-24106-4

9786613241061

0-203-02246-7

9780203022467

OCLC:

475881237