{"product_id":"mathematics-and-its-logics-geoffrey-hellman-9781108494182","title":"Mathematics and Its Logics: Philosophical Essays","description":"In these essays Geoffrey Hellman presents a strong case for a healthy pluralism in mathematics and its logics, supporting peaceful coexistence despite what appear to be contradictions between different systems, and positing different frameworks serving different legitimate purposes. The essays refine and extend Hellman's modal-structuralist account of mathematics, developing a height-potentialist view of higher set theory which recognizes indefinite extendability of models and stages at which sets occur. In the first of three new essays written for this volume, Hellman shows how extendability can be deployed to derive the axiom of Infinity and that of Replacement, improving on earlier accounts; he also shows how extendability leads to attractive, novel resolutions of the set-theoretic paradoxes. Other essays explore advantages and limitations of restrictive systems - nominalist, predicativist, and constructivist. Also included are two essays, with Solomon Feferman, on predicative foundations of arithmetic.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Geoffrey Hellman\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1108494188\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781108494182\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Cambridge University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 02\/04\/2021\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 296\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.24lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 6.00w x 0.69d","brand":"Geoffrey Hellman","offers":[{"title":"Hardcover","offer_id":48517916393727,"sku":"9781108494182","price":114.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_cdf57c91-5c8b-43b4-8403-8634637fb5e2.jpg?v=1778733134","url":"https:\/\/www.whiterainbookhouse.com\/products\/mathematics-and-its-logics-geoffrey-hellman-9781108494182","provider":"WR Book House","version":"1.0","type":"link"}