{"product_id":"interpreting-godel-critical-essays-paperback-9781316639771","title":"Interpreting Gödel; Critical Essays (Paperback \/ softback) 9781316639771","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eInterpreting Gödel\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eCritical Essays\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eIn this groundbreaking volume, leading philosophers and mathematicians explore Kurt Gödel's work on the foundations and philosophy of mathematics.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eJuliette Kennedy (Edited by)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781316639771, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 2 February 2017\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e292 pages\u003cbr\u003e23 x 15 x 1.5 cm, 0.44 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'In sum, this is a collection of stimulating essays, mathematically as well as philosophically. They are not exactly easy reading and require familiarity, at least in broad strokes, with Gödel's mathematical work and his central philosophical ideas (as well as their evolution and historical context). The patient reader will be rewarded by a deeper understanding of both.' Wilfried Sieg, Isis\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThe logician Kurt Gödel (1906–1978) published a paper in 1931 formulating what have come to be known as his 'incompleteness theorems', which prove, among other things, that within any formal system with resources sufficient to code arithmetic, questions exist which are neither provable nor disprovable on the basis of the axioms which define the system. These are among the most celebrated results in logic today. In this volume, leading philosophers and mathematicians assess important aspects of Gödel's work on the foundations and philosophy of mathematics. Their essays explore almost every aspect of Godel's intellectual legacy including his concepts of intuition and analyticity, the Completeness Theorem, the set-theoretic multiverse, and the state of mathematical logic today. This groundbreaking volume will be invaluable to students, historians, logicians and philosophers of mathematics who wish to understand the current thinking on these issues.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Introduction: Gödel and analytic philosophy: how did we get here? Juliette Kennedy\u003cbr\u003e Part I. Gödel on Intuition: 2. Intuitions of three kinds in Gödel's views on the continuum John Burgess\u003cbr\u003e 3. Gödel on how to have your mathematics and know it too Janet Folina\u003cbr\u003e Part II. The Completeness Theorem: 4. Completeness and the ends of axiomatization Michael Detlefsen\u003cbr\u003e 5. Logical completeness, form, and content: an archaeology Curtis Franks\u003cbr\u003e Part III. Computability and Analyticity: 6. Gödel's 1946 Princeton bicentennial lecture: an appreciation Juliette Kennedy\u003cbr\u003e 7. Analyticity for realists Charles Parsons\u003cbr\u003e Part IV. The Set-Theoretic Multiverse: 8. Gödel's program John Steel\u003cbr\u003e 9. Multiverse set theory and absolutely undecidable propositions Jouko Väänänen\u003cbr\u003e Part V. The Legacy: 10. Undecidable problems: a sampler Bjorn Poonen\u003cbr\u003e 11. Reflecting on logical dreams Saharon Shelah.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Philosophy of science [\u003ca title=\"See our other books on Philosophy of science\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Philosophy%20of%20science%20%5BPDA%5D%22\"\u003ePDA\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":46004180582680,"sku":"9781316639771","price":24.48,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781316639771i.jpg?v=1696731632","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/interpreting-godel-critical-essays-paperback-9781316639771","provider":"Freshly Printed Books","version":"1.0","type":"link"}