{"product_id":"essays-on-set-theory","title":"Essays on Set Theory","description":"\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e Set theory, initially built on the Cantorian extension of number into  the infinite and the Zermelian axiomatization affirming a foundation for  mathematics, is today a rich and sophisticated field of mathematics  which, having been invested with model-building techniques of Goedel \u003c\/p\u003e\u003cp\u003e and Cohen, incorporates into its ongoing investigation of infinite sets  a full range of strong hypotheses involving large cardinalities.\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e This volume serves as a companion to set theory, in that it gathers  together essays that illuminate the historical development,  philosophical resonances, and current mathematical activity. Part I,  History, has essays on the development and involvements of set theory in  the early 20th Century, essays that bring out the interplay with then  ongoing mathematics. Part II, Philosophy, has essays that take up  related issues and considerations in the philosophy of mathematics and  its practice. Part III, Mathematics, has a few mathematical papers of  modern set theory that with their thematic reach qualify them as  ``essays''. Finally, Part IV, Lives in Set Theory, has essays on the  life work of prominent set theorists to the present day, essays that  exhibit mathematical research.\u003c\/p\u003e","brand":"College Publications","offers":[{"title":"Default Title","offer_id":67657349005679,"sku":"9781848903579","price":196.27,"currency_code":"BRL","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0921\/9384\/9711\/files\/184890357X.jpg?v=1791045232","url":"https:\/\/internacional.umlivro.com.br\/products\/essays-on-set-theory","provider":"UmLivro Internacional","version":"1.0","type":"link"}