{"product_id":"new-infinitary-mathematics-9788024646633","title":"New Infinitary Mathematics","description":"\u003cb\u003eA rethinking of Cantor and infinitary mathematics by the creator of Vop\u003c\/b\u003e\u003cb\u003eěnka's principle.\u003c\/b\u003e \u003cp\u003e\u003c\/p\u003e The dominant current of twentieth-century mathematics relies on Georg Cantor's classical theory of infinite sets, which in turn relies on the assumption of the existence of the set of all natural numbers, the only justification for which--a theological justification--is usually concealed and pushed into the background. \u003cp\u003e\u003c\/p\u003e This book surveys the theological background, emergence, and development of classical set theory, warning us about the dangers implicit in the construction of set theory, and presents an argument about the absurdity of the assumption of the existence of the set of all natural numbers. It instead proposes and develops a new infinitary mathematics driven by a cautious effort to transcend the horizon bounding the ancient geometric world and mathematics prior to set theory, while allowing mathematics to correspond more closely to the real world surrounding us. Finally, it discusses real numbers and demonstrates how, within a new infinitary mathematics, calculus can be rehabilitated in its original form employing infinitesimals.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=AUTH-1733994\"\u003ePetr Vopenka\u003c\/a\u003e\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Karolinum Press, Charles University\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 04\/19\/2023\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 352\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.30lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.20h x 6.50w x 0.70d\u003cbr\u003e\u003cb\u003eISBN13:\u003c\/b\u003e 9788024646633\u003cbr\u003e\u003cb\u003eISBN10:\u003c\/b\u003e 8024646633\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-MAT016000\"\u003eInfinity\u003c\/a\u003e\u003cbr\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eAbout the Author\u003c\/b\u003e\u003cbr\u003e\u003cb\u003ePetr Vop\u003c\/b\u003e\u003cb\u003eěnka\u003c\/b\u003e (1935-2015) was a Czech mathematician and philosopher. In addition to teaching math and logic at Charles University, Jan Evangelista Purkyně University, and the University of West Bohemia, he also served as the Czech minister of education in the early 1990s. In mathematics, he is perhaps best known for establishing Vopěnka's principle. \u003cb\u003eAlena Vencovská\u003c\/b\u003e is a Czech mathematician. \u003cb\u003eHana Moravcová\u003c\/b\u003e is a Czech translator. \u003cb\u003eRoland Andrew Letham\u003c\/b\u003e translates from Czech. \u003cb\u003eVáclav Paris\u003c\/b\u003e is a Czech translator.\u003c\/p\u003e","brand":"Karolinum Press, Charles University","offers":[{"title":"Default Title","offer_id":44483896148205,"sku":"9788024646633","price":75.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0550\/8097\/6621\/products\/img_1d72ccf3-90c7-4eaa-847f-7f5a8c9878a4.jpg?v=1700781262","url":"https:\/\/sureshotbooks.com\/products\/new-infinitary-mathematics-9788024646633","provider":"SureShot Books Publishing LLC","version":"1.0","type":"link"}