Mathematics and the image of reason / / Mary Tiles

• Autore: Tiles Mary
• Pubblicazione: London ; ; New York : , : Routledge, , 1991
• 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.: 9910783041003321
• Lo trovi qui: Univ. Federico II
• Serie: Philosophical issues in science.