{"product_id":"classic-set-theory-1","title":"Classic Set Theory","description":"\u003cp\u003eDesigned for undergraduate students of set theory, Classic Set Theory presents a modern perspective of the classic work of Georg Cantor and Richard Dedekin and their immediate successors. This includes:\u003c\/p\u003e\u003cli\u003eThe definition of the real numbers in terms of rational numbers and ultimately in terms of natural numbers\u003cbr\u003e \u003c\/li\u003e\u003cli\u003eDefining natural numbers in terms of sets\u003cbr\u003e \u003c\/li\u003e\u003cli\u003eThe potential paradoxes in set theory\u003cbr\u003e \u003c\/li\u003e\u003cli\u003eThe Zermelo-Fraenkel axioms for set theory\u003cbr\u003e \u003c\/li\u003e\u003cli\u003eThe axiom of choice\u003cbr\u003e \u003c\/li\u003e\u003cli\u003eThe arithmetic of ordered sets\u003cbr\u003e \u003c\/li\u003e\u003cli\u003eCantor's two sorts of transfinite number - cardinals and ordinals - and the arithmetic of these.\u003cbr\u003e\u003cbr\u003eThe book is designed for students studying on their own, without access to lecturers and other reading, along the lines of the internationally renowned courses produced by the Open University. There are thus a large number of exercises within the main body of the text designed to help students engage with the subject, many of which have full teaching solutions. In addition, there are a number of exercises without answers so students studying under the guidance of a tutor may be assessed.\u003cbr\u003e\u003cbr\u003eClassic Set Theory gives students sufficient grounding in a rigorous approach to the revolutionary results of set theory as well as pleasure in being able to tackle significant problems that arise from the theory.\u003c\/li\u003e","brand":"Taylor \u0026 Francis Ltd","offers":[{"title":"Default Title","offer_id":54247826162008,"sku":"9781138466913","price":254.2,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9781138466913_422b1275-7789-4d2c-8f0a-dd4fe084abb5.jpg?v=1777808749","url":"https:\/\/agendabookshop.com\/products\/classic-set-theory-1","provider":"Agenda Bookshop","version":"1.0","type":"link"}