{"product_id":"9781904987543","title":"The Axiom Of Choice","description":"This book presents an overview of the development of the\u003cbr\u003eAxiom of Choice since its introduction by Zermelo at the beginning of the last century. The book surveys the Axiom of\u003cbr\u003eChoice from three perspectives. The first, or mathematical perspective, is that of the \"working mathematician\". This perspective brings into view the manifold applications of the\u003cbr\u003eAxiom of Choice-usually in the guise of Zor\u0026amp;ngrave;s Lemma- in a great variety of areas of mathematics. The second,\u003cbr\u003efoundational, perspective is that of the logician or constructive mathematician concerned with the foundational status of the Axiom of Choice. The third, topos-theoretical,\u003cbr\u003eperspective is that taken by the mathematician or logician investigating the role of the Axiom of Choice in topos theory.\u003cp\u003eCertain topics-for instance mathematical applications of the\u003cbr\u003eAxiom, and its relationship with logic-are discussed in considerable detail. Others-notably the consistency and independence of the Axiom of the usual systems of set theory-are given no more than summary treatment, the justification here being that these topics have been given full expositions elsewhere.\u003c\/p\u003e\u003cp\u003eIt is hoped that the book will be of interest to logicians and mathematicians, both professional and prospective.\u003c\/p\u003e","brand":"College Publications","offers":[{"title":"Default Title","offer_id":47063280255216,"sku":"9781904987543","price":25.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9781904987543_p0.jpg?v=1763614279","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9781904987543","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}