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The Philosophy of Mathematics Today gives a panorama of the best current work in this lively field, through twenty essays specially written for this collection by leading figures. The topics include indeterminacy, logical consequence, mathematical methodology, abstraction, and both Hilbert's and Frege's foundational programmes. The collection will be an important source for research in the philosophy of mathematics for years to come.
Contributors
Paul Benacerraf, George Boolos, John P. Burgess, Charles S. Chihara, Michael Detlefsen, Michael Dummett, Hartry Field, Kit Fine, Bob Hale, Richard G. Heck, Jnr., Geoffrey Hellman, Penelope Maddy, Karl-Georg Niebergall, Charles D. Parsons, Michael D. Resnik, Matthias Schirn, Stewart Shapiro, Peter Simons, W.W. Tait, Crispin Wright.
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The Philosophy of Mathematics Today
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Zustand: New. In English. Artikel-Nr. ria9780198236542_new
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Philosophy of mathematics today / edited by Matthias Schirn
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Oxford: Clarendon, 1998
ISBN 10: 0198236549
ISBN 13: 9780198236542
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1st edition. Fine cloth copy in a good if somewhat edge-nicked and dust-dulled dust wrapper, now mylar-sleeved. Remains particularly well-preserved overall; tight, bright, clean and strong Physical description: xii, 638 p.: ill.; 24 cm. Notes: Most of the papers derive from the conference "Philosophy of mathematics today", held in Munich, 28 June - July 1993, supported by the Deutsche Forschungsgemeinschaft and the Mind Association. Includes bibliographical references and index. Contents: Introduction 1 -- Part I. Ontology, models, and indeterminacy -- What mathematical truth could not be: I / Paul Benacerraf 33 -- Is Platonism epistemologically bankrupt? / Bob Hale 77 -- Do we have a determinate conception of finiteness and natural number? / Hartry Field 99 -- Logical consequence: models and modality / Stewart Shapiro 131 -- Tarski's thesis and the ontology of mathematics / Charles Chihara 157 -- Part II. Mathematics, science, and method -- Naturalizing mathematical methodology / Penelope Maddy 175 -- Occam's razor and scientific method / John P. Burgess 195 -- Beyond definitionism-- but not too far beyond / Geoffrey Hellman 215 -- Holistic mathematics / Michael D. Resnik 227 -- Part III. Finitism and intuitionism -- Finitism and intuitive knowledge / Charles Parsons 249 -- Hilbert's finitism and the notion of infinity / Karl-Georg Niebergall and Matthias Schirn 271 -- Constructive existence claims / Michael Detlefsen 307 -- Part IV. Frege and the foundations of arithmetic -- On the harmless impredicativity of N= ("Hume's principle") / Crispin Wright 339 -- Neo-Fregeans: in bad company? / Michael Dummett 369 -- Response to Dummett / Crispin Wright 389 -- Die Grundlagen der Arithmetik, 82-3 / George Boolos and Richard G. Heck, Jnr. 407 -- The finite and the infinite in Frege's Grundgesetze der Arithmetik / Richard G. Heck, Jnr. 429 -- Part V. Sets, structure, and abstraction -- Zermelo's conception of set theory and reflection principles / W.W. Tait 469 -- Structure and abstraction / Peter Simons 485 -- The limits of abstraction / Kit Fine 503. Subject: Mathematics Philosophy; Congresses. Mathematics Philosophy History 20th century Congresses. Mathematics Philosophy. Genre: Bibliography. Illustrated. 1 Kg. Artikel-Nr. 313811
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The Philosophy of Mathematics Today
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Zustand: New. A collection of twenty essays which deal with foundational issues, from the nature of mathematical knowledge and mathematical existence to logical consequence, abstraction, and the notions of set and natural number. A variety of prominent approaches to the philosophy of mathematics are represented and criticized. Editor(s): Schirn, Matthias. Num Pages: 652 pages, numerous diagrams. BIC Classification: HPJ; HPL; PBB; PBCH. Category: (P) Professional & Vocational. Dimension: 243 x 162 x 40. Weight in Grams: 1150. . 1998. New. hardcover. . . . . Books ship from the US and Ireland. Artikel-Nr. V9780198236542
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