{"product_id":"the-philosophy-of-set-theory","title":"The Philosophy of Set Theory","description":"\u003ch3\u003eBook Details\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eAuthor\u003c\/strong\u003e: Mary Tiles\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003ePublisher\u003c\/strong\u003e: Dover\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eEdition\u003c\/strong\u003e: Later Printing\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eBinding\u003c\/strong\u003e: Paperback\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eISBN\u003c\/strong\u003e: 9780486435206\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003ePages\u003c\/strong\u003e: 256\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eRelease Date\u003c\/strong\u003e: 18-06-2004\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eDimensions\u003c\/strong\u003e: 8.3 x 5.5 x 0.7 inches\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eLanguages\u003c\/strong\u003e: English\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003chr\u003e\n\u003ch3\u003eAbout the Book\u003c\/h3\u003e\n\u003cp\u003e\u003cstrong\u003e\"The Philosophy of Set Theory\"\u003c\/strong\u003e by \u003cstrong\u003eMary Tiles\u003c\/strong\u003e offers an engaging and accessible exploration into the foundational aspects of modern mathematics. The book provides a guided tour through the key concepts of set theory, including its philosophical underpinnings and mathematical implications. Starting with fundamental discussions on \u003cstrong\u003efinite universes\u003c\/strong\u003e, \u003cstrong\u003eAristotelian logic\u003c\/strong\u003e, and \u003cstrong\u003epermutations\u003c\/strong\u003e, it builds towards more advanced topics like \u003cstrong\u003eCantor’s transfinite sets\u003c\/strong\u003e, \u003cstrong\u003eaxiomatic set theory\u003c\/strong\u003e, and \u003cstrong\u003ethe continuum hypothesis\u003c\/strong\u003e.\u003c\/p\u003e\n\u003ch3\u003eKey Topics Covered:\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eFinite Universe \u0026amp; Finitism\u003c\/strong\u003e: An exploration of the early notions of finite sets and logic.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eZeno's Paradoxes \u0026amp; Infinity\u003c\/strong\u003e: Discussions on the philosophical paradoxes related to infinity.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eCantor’s Transfinite Paradise\u003c\/strong\u003e: Introducing Cantor’s groundbreaking work on transfinite numbers and set theory.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eAxiomatic Set Theory\u003c\/strong\u003e: A look into Zermelo-Fraenkel set theory (ZF) and its axioms.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eTransfinite Numbers \u0026amp; Ordinals\u003c\/strong\u003e: Detailed analysis of Cantor’s continuum hypothesis and ordinal numbers.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eRussell's Logicist Reduction\u003c\/strong\u003e: Investigating Bertrand Russell’s contributions to logic and set theory.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eGodel’s Constructible Universe\u003c\/strong\u003e: Exploring Kurt Godel’s work on the constructible universe and its implications.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003eThe book also delves into \u003cstrong\u003emathematical intuition\u003c\/strong\u003e and \u003cstrong\u003elogical paradoxes\u003c\/strong\u003e, guiding readers through the philosophical and practical dimensions of set theory. Written for a broad audience, it provides valuable insights for those interested in the intersection of philosophy and mathematics, particularly in the \u003cstrong\u003efoundations of set theory\u003c\/strong\u003e.\u003c\/p\u003e\n\u003cp\u003eWith over \u003cstrong\u003e32 figures\u003c\/strong\u003e and an extensive \u003cstrong\u003ebibliography\u003c\/strong\u003e, \u003cstrong\u003e\"The Philosophy of Set Theory\"\u003c\/strong\u003e is an essential read for anyone delving into the philosophy of mathematics or the logical structure of modern mathematical theory.\u003c\/p\u003e","brand":"Dover","offers":[{"title":"Default Title","offer_id":49966314914096,"sku":"Sarat_9780486435206","price":1066.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0690\/9968\/4144\/files\/dover-book-default-title-the-philosophy-of-set-theory-41352508899632.jpg?v=1775961400","url":"https:\/\/www.retailmaharaj.com\/products\/the-philosophy-of-set-theory","provider":"Retail Maharaj","version":"1.0","type":"link"}