{"product_id":"wittgenstein-on-mathematics-severin-schroeder-9781844658626","title":"Wittgenstein on Mathematics","description":"\u003cp\u003eThis book offers a detailed account and discussion of Ludwig Wittgenstein's philosophy of mathematics. In Part I, the stage is set with a brief presentation of Frege's logicist attempt to provide arithmetic with a foundation and Wittgenstein's criticisms of it, followed by sketches of Wittgenstein's early views of mathematics, in the \u003ci\u003eTractatus\u003c\/i\u003e and in the early 1930s. Then (in Part II), Wittgenstein's mature philosophy of mathematics (1937-44) is carefully presented and examined. Schroeder explains that it is based on two key ideas: the \u003ci\u003ecalculus view\u003c\/i\u003e and the \u003ci\u003egrammar view\u003c\/i\u003e. On the one hand, mathematics is seen as a human activity -- calculation -- rather than a theory. On the other hand, the results of mathematical calculations serve as grammatical norms. The following chapters (on mathematics as grammar; rule-following; conventionalism; the empirical basis of mathematics; the role of proof) explore the tension between those two key ideas and suggest a way in which it can be resolved. Finally, there are chapters analysing and defending Wittgenstein's provocative views on Hilbert's Formalism and the quest for consistency proofs and on Gel's incompleteness theorems.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Severin Schroeder\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1844658627\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781844658626\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Routledge\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 12\/30\/2020\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 238\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.05lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.10h x 6.10w x 0.80d","brand":"Severin Schroeder","offers":[{"title":"Hardcover","offer_id":43938927182079,"sku":"9781844658626","price":190.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/products\/img_cb43f8f9-07b7-49e4-9563-33829cc7f3a6.jpg?v=1681438498","url":"https:\/\/www.whiterainbookhouse.com\/products\/wittgenstein-on-mathematics-severin-schroeder-9781844658626","provider":"WR Book House","version":"1.0","type":"link"}