{"product_id":"9789027710468","title":"Synthese Library: An Essay on Finitism","description":"\u003ch1\u003eSynthese Library\u003c\/h1\u003e\u003ch2\u003eAn Essay on Finitism\u003c\/h2\u003e\u003cp\u003e\u003cstrong\u003eContributors:\u003c\/strong\u003e Webb, J.\u003c\/p\u003e\u003cp\u003eThis book grew out of a graduate student paper [261] in which I set down some criticisms of J. R. Lucas' attempt to refute mechanism by means of G6del's theorem. I had made several such abortive attempts myself and had become familiar with their pitfalls, and especially with the double­ edged nature of incompleteness arguments. My original idea was to model the refutation of mechanism on the almost universally accepted G6delian refutation of Hilbert's formalism, but I kept getting stuck on questions of mathematical philosophy which I found myself having to beg. A thorough study of the foundational works of Hilbert and Bernays finally convinced me that I had all too naively and uncritically bought this refutation of formalism. I did indeed discover points of surprisingly close contact between formalism and mechanism, but also that it was possible to under­ mine certain strong arguments against these positions precisely by invok­ ing G6del's and related work. I also began to realize that the Church­ Turing thesis itself is the principal bastion protecting mechanism, and that G6del's work was perhaps the best thing that ever happened to both mechanism and formalism. I pushed these lines of argument in my dis­ sertation with the patient help of my readers, Raymond Nelson and Howard Stein. I would especially like to thank the latter for many valuable criticisms of my dissertation as well as some helpful suggestions for reor­ ganizing it in the direction of the present book.\u003c\/p\u003e\u003ch3\u003eBook Details\u003c\/h3\u003e\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003ePublisher:\u003c\/strong\u003e Springer\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e 1980-10-31\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eFormat:\u003c\/strong\u003e Hardcover\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eISBN-13:\u003c\/strong\u003e 9789027710468\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003ePages:\u003c\/strong\u003e 285\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"Springer","offers":[{"title":"Default Title","offer_id":45416669118604,"sku":"9789027710468","price":152.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9789027710468_146bee42-5c7a-4238-a3f5-2762aae7c5e7.jpg?v=1768917436","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9789027710468","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}