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Record Nr. |
UNINA9910823841103321 |
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Autore |
Frascolla Pasquale <1952-> |
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Titolo |
Wittgenstein's philosophy of mathematics / / Pasquale Frascolla |
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Pubbl/distr/stampa |
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London ; ; New York, : Routledge, 1994 |
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ISBN |
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1-134-97436-1 |
1-134-97437-X |
1-283-24106-4 |
9786613241061 |
0-203-02246-7 |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (201 p.) |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (p. 185-187) and index. |
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Nota di contenuto |
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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 |
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Sommario/riassunto |
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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'. |
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