{"product_id":"elements-of-logical-reasoning-hardback-9781107036598","title":"Elements of Logical Reasoning (Hardback) 9781107036598","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eElements of Logical Reasoning\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis book provides an accessible and at the same time scientifically rigorous introduction to the principles of logical reasoning.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eJan von Plato (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781107036598, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 23 January 2014\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e271 pages\u003cbr\u003e25.2 x 17.7 x 1.7 cm, 0.71 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'Elements of Logical Reasoning fills a gap by providing some much needed explanation and motivation to an otherwise dry literature.' Henry Towsner, The Mathematical Intelligencer\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eSome of our earliest experiences of the conclusive force of an argument come from school mathematics: faced with a mathematical proof, we cannot deny the conclusion once the premises have been accepted. Behind such arguments lies a more general pattern of 'demonstrative arguments' that is studied in the science of logic. Logical reasoning is applied at all levels, from everyday life to advanced sciences, and a remarkable level of complexity is achieved in everyday logical reasoning, even if the principles behind it remain intuitive. Jan von Plato provides an accessible but rigorous introduction to an important aspect of contemporary logic: its deductive machinery. He shows that when the forms of logical reasoning are analysed, it turns out that a limited set of first principles can represent any logical argument. His book will be valuable for students of logic, mathematics and computer science.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePart I. First Steps in Logical Reasoning: 1. Starting points\u003cbr\u003e 2. Rules of proof\u003cbr\u003e 3. Natural deduction\u003cbr\u003e 4. Proof search\u003cbr\u003e 5. Classical natural deduction\u003cbr\u003e 6. Proof search in classical logic\u003cbr\u003e 7. The semantics of propositional logic\u003cbr\u003e Part II. Logical Reasoning with the Quantifiers: 8. The quantifiers\u003cbr\u003e 9. Derivations in predicate logic\u003cbr\u003e 10. The semantics of predicate logic\u003cbr\u003e Part III. Beyond Pure Logic: 11. Equality and axiomatic theories\u003cbr\u003e 12. Elements of the proof theory of arithmetic\u003cbr\u003e Part IV. Complementary Topics: 13. Normalization and cut elimination\u003cbr\u003e 14. Deductive machinery from Aristotle to Heyting.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Computer architecture \u0026amp; logic design [\u003ca title=\"See our other books on Computer architecture \u0026amp; logic design\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Computer%20architecture%20\u0026amp;%20logic%20design%20%5BUYF%5D%22\"\u003eUYF\u003c\/a\u003e], Mathematical logic [\u003ca title=\"See our other books on Mathematical logic\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20logic%20%5BPBCD%5D%22\"\u003ePBCD\u003c\/a\u003e], Intelligence \u0026amp; reasoning [\u003ca title=\"See our other books on Intelligence \u0026amp; reasoning\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Intelligence%20\u0026amp;%20reasoning%20%5BJMRN%5D%22\"\u003eJMRN\u003c\/a\u003e], Philosophy: logic [\u003ca title=\"See our other books on Philosophy: logic\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Philosophy:%20logic%20%5BHPL%5D%22\"\u003eHPL\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46005834973464,"sku":"9781107036598","price":76.65,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781107036598i_250c1d5f-cd61-47d7-a237-f0dccf3022d3.jpg?v=1691361446","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/elements-of-logical-reasoning-hardback-9781107036598","provider":"Freshly Printed Books","version":"1.0","type":"link"}