{"product_id":"how-mathematicians-think-using-ambiguity-contradiction-and-paradox-to-create-mathematics-9780691145990","title":"How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics","description":"\u003cp\u003eTo many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically--even algorithmically--from one black-and-white deduction to another. Yet mathematicians often describe their most important breakthroughs as creative, intuitive responses to ambiguity, contradiction, and paradox. A unique examination of this less-familiar aspect of mathematics, \u003ci\u003eHow Mathematicians Think\u003c\/i\u003e reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e Nonlogical qualities, William Byers shows, play an essential role in mathematics. Ambiguities, contradictions, and paradoxes can arise when ideas developed in different contexts come into contact. Uncertainties and conflicts do not impede but rather spur the development of mathematics. Creativity often means bringing apparently incompatible perspectives together as complementary aspects of a new, more subtle theory. The secret of mathematics is not to be found only in its logical structure. \u003cp\u003e\u003c\/p\u003e The creative dimensions of mathematical work have great implications for our notions of mathematical and scientific truth, and \u003ci\u003eHow Mathematicians Think\u003c\/i\u003e provides a novel approach to many fundamental questions. Is mathematics objectively true? Is it discovered or invented? And is there such a thing as a final scientific theory? \u003cp\u003e\u003c\/p\u003e Ultimately, \u003ci\u003eHow Mathematicians Think\u003c\/i\u003e shows that the nature of mathematical thinking can teach us a great deal about the human condition itself.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=AUTH-3384332\"\u003eWilliam Byers\u003c\/a\u003e\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Princeton University Press\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 05\/02\/2010\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 424\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.35lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.10h x 6.00w x 1.10d\u003cbr\u003e\u003cb\u003eISBN13:\u003c\/b\u003e 9780691145990\u003cbr\u003e\u003cb\u003eISBN10:\u003c\/b\u003e 0691145997\u003cbr\u003e\u003cb\u003eBISAC Categories:\u003c\/b\u003e\u003cbr\u003e- \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=CAT-MAT\"\u003eMathematics\u003c\/a\u003e | \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=BISAC-MAT015000\"\u003eHistory \u0026amp; Philosophy\u003c\/a\u003e\u003cbr\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eAbout the Author\u003c\/b\u003e\u003cbr\u003e\u003cb\u003eWilliam Byers\u003c\/b\u003e is professor of mathematics at Concordia University in Montreal. He has published widely in mathematics journals.\u003c\/p\u003e","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":42655735251181,"sku":"9780691145990","price":39.93,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0550\/8097\/6621\/products\/img_c5dbaee4-4e87-4928-8006-291e8363ac02.jpg?v=1649282208","url":"https:\/\/sureshotbooks.com\/products\/how-mathematicians-think-using-ambiguity-contradiction-and-paradox-to-create-mathematics-9780691145990","provider":"SureShot Books Publishing LLC","version":"1.0","type":"link"}