{"product_id":"truth-proof-and-infinity-a-theory-of-constructive-reasoning-von-p-fletcher","title":"Truth, Proof and Infinity","description":"\n                                Constructive mathematics is based on the thesis that the  meaning of a mathematical formula is given, not by its  truth-conditions, but in terms of what constructions count as a proof  of it. However, the meaning of the terms `construction' and `proof'  has never been adequately explained (although Kriesel, Goodman and  Martin-Löf have attempted axiomatisations). This monograph  develops precise (though not wholly formal) definitions of  construction and proof, and describes the algorithmic substructure  underlying intuitionistic logic. Interpretations of Heyting arithmetic  and constructive analysis are given. \n                \n                \u003cbr\u003e\n                                  The philosophical basis of constructivism is explored thoroughly in  Part I. The author seeks to answer objections from platonists and to  reconcile his position with the central insights of Hilbert's  formalism and logic. \n                \n                \u003cbr\u003e\n                                  \n                \n                \u003cem\u003eAudience:\u003c\/em\u003e\n                                 Philosophers of mathematics and logicians, both  academic and graduate students, particularly those interested in  Brouwer and Hilbert; theoretical computer scientists interested in the  foundations of functional programming languages and program  correctness calculi.\n            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9789048151059\"\u003e\u003ch3\u003eA Theory of Constructive Reasoning\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9789048151059","offer_id":39415678566493,"sku":"9789048151059","price":192.59,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/2d24af33-9c27-4742-8f67-abbd464f9814.jpg?v=1765870476","url":"https:\/\/shop.autorenwelt.de\/products\/truth-proof-and-infinity-a-theory-of-constructive-reasoning-von-p-fletcher","provider":"Autorenwelt Shop","version":"1.0","type":"link"}