{"product_id":"philosophy-of-mathematics-selected-readings-paperback-9780521296489","title":"Philosophy of Mathematics; Selected Readings (Paperback) 9780521296489","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003ePhilosophy of Mathematics\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eSelected Readings\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eSeminal articles in the philosophy of mathematics by Russell, Quine, Gödel and other major thinkers.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003ePaul Benacerraf (Edited by), Hilary Putnam (Edited by)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521296489, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 27 January 1984\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e612 pages\u003cbr\u003e23.2 x 15.3 x 3.9 cm, 0.91 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThe twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intuitionism' of Brouwer), a new foundational school (Hilbert's Formalism), and the profound incompleteness results of Kurt Gödel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Gödel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface to the second edition\u003cbr\u003e Introduction\u003cbr\u003e Part I. The Foundations of Mathematics: 1. The logicist foundations of mathematics Rudolf Carnap\u003cbr\u003e 2. The intuitionist foundations of mathematics Arend Heyting\u003cbr\u003e 3. The formalist foundations of mathematics Johann von Neumann\u003cbr\u003e 4. Disputation Arend Heyting\u003cbr\u003e 5. Intuitionism and formalism L. E. J. Brouwer\u003cbr\u003e 6. Consciousness, philosophy, and mathematics L. E. J. Brouwer\u003cbr\u003e 7. The philosophical basis of intuitionistic logic Michael Dummett\u003cbr\u003e 8. The concept of number Gottlob Frege\u003cbr\u003e 9. Selections from Introduction to Mathematical Philosophy Bertrand Russell\u003cbr\u003e 10. On the infinite David Hilbert\u003cbr\u003e 11. Remarks on the definition and nature of mathematics Haskell B. Curry\u003cbr\u003e 12. Hilbert's programme Georg Kreisel\u003cbr\u003e Part II. The Existence of Mathematical Objects: 13. Empiricism, semantics, and ontology Rudolf Carnap\u003cbr\u003e 14. On Platonism in mathematics Paul Bernays\u003cbr\u003e 15. What numbers could not be Paul Benacerraf\u003cbr\u003e 16. Mathematics without foundations Hilary Putnam\u003cbr\u003e Part III. Mathematical Truth: 17. The a priori Alfred Jules Ayer\u003cbr\u003e 18. Truth by convention W. V. Quine\u003cbr\u003e 19. On the nature of mathematical truth Carl G. Hempel\u003cbr\u003e 20. On the nature of mathematical reasoning Henri Poincaré\u003cbr\u003e 21. Mathematical truth Paul Benacerraf\u003cbr\u003e 22. Models and reality Hilary Putnam\u003cbr\u003e Part IV. The Concept of Set: 23. Russell's mathematical logic Kurt Gödel\u003cbr\u003e 24. What in Cantor's continuum problem? Kurt Gödel\u003cbr\u003e 25. The iterative concept of set George Boolos\u003cbr\u003e 26. The concept of set Hao Wang\u003cbr\u003e Bibliography.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Philosophy of mathematics [\u003ca title=\"See our other books on Philosophy of mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Philosophy%20of%20mathematics%20%5BPBB%5D%22\"\u003ePBB\u003c\/a\u003e], Social \u0026amp; political philosophy [\u003ca title=\"See our other books on Social \u0026amp; political philosophy\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Social%20\u0026amp;%20political%20philosophy%20%5BHPS%5D%22\"\u003eHPS\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46000114434328,"sku":"9780521296489","price":35.39,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521296489i_6da9d85a-8fae-41f5-a725-2e7ec70bbe1f.jpg?v=1691374877","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/philosophy-of-mathematics-selected-readings-paperback-9780521296489","provider":"Freshly Printed Books","version":"1.0","type":"link"}