{"product_id":"logical-consequence-9781108986847","title":"Logical Consequence","description":"\u003cp\u003e\u003c\/p\u003e\u003cblockquote\u003eThe Element provides an in-depth account of logical consequence, its Tarskian roots, and its ideas, grounding, and challenges. It discusses the passage from Tarski's definition of truth to his definition of logical consequence, the need for a non-proof-theoretic definition, the idea of a semantic definition, the adequacy conditions of preservation of truth, formality, and necessity, the nature, structure, and totality of models, the logicality problem, a general solution to the logicality, formality, and necessity problems, and the philosophical background and justification of the isomorphism-invariance criterion. \u003c\/blockquote\u003e\u003cp\u003e\u003cstrong\u003eFormat\u003c\/strong\u003e: Paperback \/ softback\u003cbr\u003e\u003cstrong\u003eLength\u003c\/strong\u003e: 75 pages\u003cbr\u003e\u003cstrong\u003ePublication date\u003c\/strong\u003e: 08 September 2022\u003cbr\u003e\u003cstrong\u003ePublisher\u003c\/strong\u003e: Cambridge University Press\u003cbr\u003e\u003c\/p\u003e \u003cp\u003e\u003cbr\u003eUnderstanding logic is, first and foremost, to understand logical consequence. This Element provides an in-depth, accessible, up-to-date account of and philosophical insight into the semantic, model-theoretic conception of logical consequence, its Tarskian roots, and its ideas, grounding, and challenges. The topics discussed include:\u003cbr\u003e\u003cbr\u003eThe passage from Tarski's definition of truth (simpliciter) to his definition of logical consequence.\u003cbr\u003e\u003cbr\u003eThe need for a non-proof-theoretic definition.\u003cbr\u003e\u003cbr\u003eThe idea of a semantic definition.\u003cbr\u003e\u003cbr\u003eThe adequacy conditions of preservation of truth, formality, and necessity.\u003cbr\u003e\u003cbr\u003eThe nature, structure, and totality of models.\u003cbr\u003e\u003cbr\u003eThe logicality problem that threatens the definition of logical consequence (the problem of logical constants).\u003cbr\u003e\u003cbr\u003eA general solution to the logicality, formality, and necessity problems\/challenges, based on the isomorphism-invariance criterion of logicality.\u003cbr\u003e\u003cbr\u003ePhilosophical background and justification of the isomorphism-invariance criterion.\u003cbr\u003e\u003cbr\u003eMajor criticisms of the semantic definition and the isomorphism-invariance criterion.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eWeight\u003c\/strong\u003e: 147g\u003cbr\u003e\u003cstrong\u003eISBN-13\u003c\/strong\u003e: 9781108986847\u003c\/p\u003e","brand":"GilaSher","offers":[{"title":"Paperback \/ softback","offer_id":44095039832314,"sku":"9781108986847","price":17.14,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0522\/4297\/2845\/products\/1663965684146_book.jpg?v=1664110938","url":"https:\/\/shulphink.com\/products\/logical-consequence-9781108986847","provider":"Shulph Ink","version":"1.0","type":"link"}