{"product_id":"philosophy-of-mathematics-in-the-twentieth-century-selected-essays-hardcover","title":"Philosophy of Mathematics in the Twentieth Century: Selected Essays - Hardcover","description":"\u003cp\u003eby \u003cb\u003eCharles Parsons\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eIn this illuminating collection, Charles Parsons surveys the contributions of philosophers and mathematicians who shaped the philosophy of mathematics over the course of the past century.\u003c\/p\u003e\u003cp\u003eParsons begins with a discussion of the Kantian legacy in the work of L. E. J. Brouwer, David Hilbert, and Paul Bernays, shedding light on how Bernays revised his philosophy after his collaboration with Hilbert. He considers Hermann Weyl's idea of a \"vicious circle\" in the foundations of mathematics, a radical claim that elicited many challenges. Turning to Kurt G del, whose incompleteness theorem transformed debate on the foundations of mathematics and brought mathematical logic to maturity, Parsons discusses his essay on Bertrand Russell's mathematical logic--G del's first mature philosophical statement and an avowal of his Platonistic view.\u003c\/p\u003e\u003cp\u003e\u003ci\u003ePhilosophy of Mathematics in the Twentieth Century\u003c\/i\u003e insightfully treats the contributions of figures the author knew personally: W. V. Quine, Hilary Putnam, Hao Wang, and William Tait. Quine's early work on ontology is explored, as is his nominalistic view of predication and his use of the genetic method of explanation in the late work \u003ci\u003eThe Roots of Reference\u003c\/i\u003e. Parsons attempts to tease out Putnam's views on existence and ontology, especially in relation to logic and mathematics. Wang's contributions to subjects ranging from the concept of set, minds, and machines to the interpretation of G del are examined, as are Tait's axiomatic conception of mathematics, his minimalist realism, and his thoughts on historical figures.\u003c\/p\u003e\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 368\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1.12 x 9.65 x 6.42 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e March 17, 2014\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":51756905890080,"sku":"9780674728066","price":124.2,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0974\/9764\/5344\/files\/44b4b3b41d884b75de3fc21dd7bb9eab.webp?v=1780088912","url":"https:\/\/ebocreations.com\/products\/philosophy-of-mathematics-in-the-twentieth-century-selected-essays-hardcover","provider":"The E-Book Oasis LLC","version":"1.0","type":"link"}