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Autore: | Tiles Mary |
Titolo: | Mathematics and the image of reason / / Mary Tiles |
Pubblicazione: | London ; ; New York, : Routledge, 1991 |
Edizione: | 1st ed. |
Descrizione fisica: | 1 online resource (198 p.) |
Disciplina: | 510/.1 |
Soggetto topico: | Mathematics - Philosophy |
Note generali: | Description based upon print version of record. |
Nota di bibliografia: | Includes bibliographical references (p. 178-183) and index. |
Nota di contenuto: | Cover; MATHEMATICS AND THEIMAGE OF REASON; Title Page; Copyright Page; Table of Contents; Acknowledgements; Introduction; 1 AXIOMATIZATION, RIGOUR AND REASON; Rigour and Proof; Deserting Euclidean Standards; The Return to Euclidean Standards; 2 FREGE: ARITHMETIC AS LOGIC; Calculation and Reasoning; Numbers and the Nature of Arithmetical Truths; Numbers as Objects; The Natural Numbers; Word Games?; 3 RUSSELL: MATHEMATICS AS LOGIC; Geometry and Relational Structures; Paradoxes and Logical Types; Empiricism, Logical Positivism and the Sterility of Reason |
4 HILBERT: MATHEMATICS AS A FORMULA-GAME?Formalism and Hilbert's Programme; Geometrical Rigour; Forging the Formal Chains of Reason; Successes and Failures; Logic and its Limitations; Appendix - Recursive Functions; 5 IDEAL ELEMENTS AND RATIONAL IDEALS; Formulae, Symbols and Forms; Ideal Elements and Ideals; Geometry: Diagrams and Rigour; Pragmatism, Axiomatization and Ideals; Logic and the Objects of Mathematical Knowledge; Lack of Closure and the Power of Reason; Glossary of Symbols; Further Reading; Bibliography; Index | |
Sommario/riassunto: | A thorough account of the philosophy of mathematics. In a cogent account the author argues against the view that mathematics is solely logic. |
Titolo autorizzato: | Mathematics and the image of reason |
ISBN: | 1-134-96771-3 |
1-134-96772-1 | |
1-280-53925-9 | |
9786610539253 | |
0-203-02836-8 | |
0-203-32706-3 | |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910813455603321 |
Lo trovi qui: | Univ. Federico II |
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