{"product_id":"propositional-and-predicate-calculus-a-model-of-argument-paperback","title":"Propositional and Predicate Calculus: A Model of Argument - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eDerek Goldrei\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eMore and more students need a basic understanding of logic for computing courses, and prepositional and predicate calculus is central to the field of mathematical logic. This introductory text assumes no prior knowledge of logic and concentrates on the core material that is vital for further study. It is specifically designed for independent study and features a wealth of examples and exercises, many with full teaching solutions.\u003c\/p\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eAt the heart of the justification for the reasoning used in modern mathematics lies the completeness theorem for predicate calculus. This unique textbook covers two entirely different ways of looking at such reasoning. Topics include: \u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e- the representation of mathematical statements by formulas in a formal language;\u003c\/p\u003e \u003cp\u003e- the interpretation of formulas as true or false in a mathematical structure;\u003c\/p\u003e \u003cp\u003e- logical consequence of one formula from others;\u003c\/p\u003e \u003cp\u003e- formal proof;\u003c\/p\u003e \u003cp\u003e- the soundness and completeness theorems connecting logical consequence and formal proof; \u003c\/p\u003e \u003cp\u003e- the axiomatization of some mathematical theories using a formal language;\u003c\/p\u003e \u003cp\u003e- the compactness theorem and an introduction to model theory.\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003eThis book is designed for self-study by students, as well as for taught courses, using principles successfully developed by the Open University and used across the world. It includes exercises embedded within the text with full solutions to many of these. In addition there are a number of exercises without answers so that students studying under the guidance of a tutor may be assessed on the basis of what has been taught.\u003c\/p\u003e \u003cp\u003eSome experience of axiom-based mathematics is required but no previous experience of logic. Propositional and Predicate Calculus gives students the basis for further study of mathematical logic and the use of formal languages in other subjects.\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003eDerek Goldrei is Senior Lecturer and Staff Tutor at the Open University and part-time Lecturer in Mathematics at Mansfield College, Oxford, UK.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 315\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.6 x 9.6 x 7.46 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e September 08, 2005\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":47572843528413,"sku":"9781852339210","price":155.5,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0811\/9867\/8237\/files\/Qmp1YUd2czRYWlBlN3Npc1FVSXlLUT09.webp?v=1773396630","url":"https:\/\/handfulofbooks.com\/products\/propositional-and-predicate-calculus-a-model-of-argument-paperback","provider":"Handful of Books","version":"1.0","type":"link"}