{"product_id":"the-axiom-of-choice-9780486466248","title":"The Axiom of Choice","description":"Comprehensive in its selection of topics and results, this self-contained text examines the relative strengths and consequences of the axiom of choice. Each chapter contains several problems, graded according to difficulty, and concludes with some historical remarks.\u003cbr\u003eAn introduction to the use of the axiom of choice is followed by explorations of consistency, permutation models, and independence. Subsequent chapters examine embedding theorems, models with finite supports, weaker versions of the axiom, and nontransferable statements. The final sections consider mathematics without choice, cardinal numbers in set theory without choice, and properties that contradict the axiom of choice, including the axiom of determinacy and related topics\u003cbr\u003e\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Dover Publications\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 07\/24\/2008\u003cbr\u003e\u003cb\u003eISBN:\u003c\/b\u003e 9780486466248\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 202\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.50lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 8.30h x 5.40w x 0.50d","brand":"Thomas J. Jech","offers":[{"title":"Default Title","offer_id":36637838147740,"sku":"9780486466248","price":12.71,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0473\/0804\/6492\/products\/img_b85ab29d-ca91-4204-a6e6-ab0e5c49ef4d.jpg?v=1603845806","url":"https:\/\/pastforward.org\/products\/the-axiom-of-choice-9780486466248","provider":"Past Forward","version":"1.0","type":"link"}