{"product_id":"the-code-of-mathematics-stefan-mller-stach-9783662694824","title":"The Code of Mathematics: Proof and Truth","description":"\u003cp\u003eInspired by recent developments in dependent type theory and infinity categories, this book presents a history of ideas around the topics of truth, proof, equality and equivalence. Besides selected ideas of Platon, Aristoteles, Leibniz, Kant, Frege and others, the results of G?del and Tarski on incompleteness, undecidability and truth in deductive systems and their semantic models are covered. The main focus of this textbook is on dependent type theory and its recent variant homotopy type theory. Such theories contain identity types, which give a new understanding of equality, symmetry, equivalence and isomorphism in a conceptual way. The interaction of type theory and infinity category theory yields a new paradigm for a structural view on mathematics. This supports the tendencies towards formalising mathematics with the help of proof assistants.\u003c\/p\u003e \u003cp\u003eThis book was first published in German. The translation was done with the help of artificial intelligence. A subsequent human revision was done primarily in terms of content.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Stefan M?ller-Stach\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3662694824\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783662694824\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 09\/04\/2024\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 170\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.59lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.40d","brand":"Stefan M?ller-Stach","offers":[{"title":"Paperback","offer_id":46140945006847,"sku":"9783662694824","price":54.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_6e6a52c7-ca93-42c9-b726-81861dfc5b0c.jpg?v=1726597484","url":"https:\/\/www.whiterainbookhouse.com\/products\/the-code-of-mathematics-stefan-mller-stach-9783662694824","provider":"WR Book House","version":"1.0","type":"link"}