{"product_id":"fathoming-formal-logic-vol-ii-semantics-and-proof-theory-for-predicate-logic-paperback","title":"Fathoming Formal Logic: Vol II: Semantics and Proof Theory for Predicate Logic - 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\u003eOdysseus Makridis\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eThis text, volume II of a two-volume work, examines in depth the so-called \"standard\" predicate logic. Including a foundational lexicon of terms and a detour through the classical propositional logic, this volume can be used independently of the first. \u003c\/strong\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eAs a means toward teasing out theoretical subtleties and negotiating formal and philosophic challenges, this work uses detailed examples and exercises; because of this feature, the text can also be used to study formal logic in a rigorous fashion.\u003c\/strong\u003e\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eGiven its expressive power, predicate logic is deemed as minimally adequate for formalization of such fundamental languages as that of Mathematics and for translations of the meanings of English (or other natural-language) sentences. Laying foundations in this area is key to a technical understanding of deductive reasoning and to honing rigorous critical thinking and problem-solving skills. \u003c\/strong\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eNotable (some of them unusual) features that are covered in the present volume include the following: \u003c\/strong\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003e\u003cstrong\u003eThe overview of propositional logic includes positive semantic trees, in addition to the negative semantic tree method.\u003c\/strong\u003e\u003c\/li\u003e \u003cli\u003e\u003cstrong\u003ePrenex forms and conversion to equivalent prenex forms.\u003c\/strong\u003e\u003c\/li\u003e \u003cli\u003e\u003cstrong\u003eRelational (ultimately polyadic) predicate symbols, function symbols and identity are made available. \u003c\/strong\u003e\u003c\/li\u003e \u003cli\u003e\u003cstrong\u003eThe decision problem and the Lӧwenheim Result are discussed.\u003c\/strong\u003e\u003c\/li\u003e \u003cli\u003e\u003cstrong\u003eProof-theoretic methods are presented analytically and extensive justifications are offered for the required restrictions on the deduction rules.\u003c\/strong\u003e\u003c\/li\u003e \u003cli\u003e\n\u003cstrong\u003eThe semantics of predicate logic modeling are presented in analytical detail along with inquiries into the logical-philosophical significance of predicate logic.\u003c\/strong\u003e\u003cstrong\u003e \u003c\/strong\u003e\n\u003c\/li\u003e \u003cli\u003e\u003cstrong\u003eTranslation from English into the predicate logic idiom (formalization, symbolization) is examined thoroughly, accompanied by motivating linguistic observations and thorough scrutiny of available options; aspects of this inquiry include translations under restricted and unrestricted domains, translations of compacted predicates, rendering of non-classically quantified phrases, translations of numerical statements, definite descriptions and regimentation, and guidance on how to render existential presuppositions.\u003c\/strong\u003e\u003c\/li\u003e \u003cli\u003e\u003cstrong\u003eDisambiguation is imposed on translations and an extensive list of examples is presented. \u003c\/strong\u003e\u003c\/li\u003e \u003cli\u003e\u003cstrong\u003eTranslations of idiomatic linguistic expressions are studied.\u003c\/strong\u003e\u003c\/li\u003e \u003cli\u003e\u003cstrong\u003eSemantic tree decision procedures (for finitarian domains) - including negative and positive semantic tree systems - are constructed and applied. \u003c\/strong\u003e\u003c\/li\u003e \u003cli\u003e\u003cstrong\u003eAppendices on Set Theory, Mathematical Induction and Dialogical Logic are presented. \u003c\/strong\u003e\u003c\/li\u003e \u003c\/ul\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 444\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.9 x 9.21 x 6.14 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e February 01, 2018\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":45104559980623,"sku":"9781848902671","price":45.16,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0677\/3083\/3487\/files\/eHlYWlNRT2NTZUwyaFZ2WWl4RC9UQT09.webp?v=1776394138","url":"https:\/\/lumaryon.com\/products\/fathoming-formal-logic-vol-ii-semantics-and-proof-theory-for-predicate-logic-paperback","provider":"Lumaryon Universal","version":"1.0","type":"link"}