{"product_id":"logic-a-primer-paperback","title":"Logic. A Primer - 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\u003eNeil Tennant\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis introduction to formal logic is for students of Philosophy, Mathematics, Computer Science, and\/or Linguistics. Philosophically sensitive, historically and linguistically\u003c\/p\u003e\u003cp\u003einformed, and mathematically precise, it deals with fundamentals.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eIts distant ancestor \u003cem\u003eNatural Logic\u003c\/em\u003e married Gentzenian proof theory to Tarskian model-theoretic semantics; and distinguished the important subsystem of Intuitionistic Logic. The\u003c\/p\u003e\u003cp\u003eauthor has since published research on capturing relevance proof-theoretically, and extending Tarskian semantics with model-relative truthmakers and falsitymakers. These\u003c\/p\u003e\u003cp\u003elater ideas are expounded here at a gentler level.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe coverage is largely at the 'object level'. It gets the main innovative ideas across in systematic fashion. A plethora of exercises serve concept and skill acquisition: translating\u003c\/p\u003e\u003cp\u003ebetween English sentences and formal sentences of first-order logic; finding formal proofs of valid arguments; and finding counterexamples to invalid ones. The text distinguishes\u003c\/p\u003e\u003cp\u003econstructive from 'strictly classical' reasoning. It also signposts significant metalogical results to be established in a sequel.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe approach is strongly proof-theoretical. Primitive rules of inference governing logical operators flow from left-to-right readings of the famous two-valued truth tables. Modelrelative\u003c\/p\u003e\u003cp\u003etruthmakers and falsitymakers are constructed using rules of semantic evaluation.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThese rules morph seamlessly into model-invariant rules of natural deduction for connectives and quantifiers. These, in turn, are rendered as logical rules of the sequent\u003c\/p\u003e\u003cp\u003ecalculus. The deductive rules gestated from the rules of evaluation guarantee relevance of premises of deductive proofs to their conclusions.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe text lays firm foundations for the concepts of soundness and completeness of a proof system with respect to a semantics. It shows that its proof system meets all the\u003c\/p\u003e\u003cp\u003emethodological demands on a logic for formalizing deductive reasoning (whether constructive or classical) in both mathematics and science.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eQuine famously and approvingly called the language of first-order logic Grade A idiom. It is now equipped with what one can call\u003cem\u003e Grade A argumentation\u003c\/em\u003e.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 434\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.88 x 9.21 x 6.14 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e April 16, 2026\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":48392677392633,"sku":"9781848905061","price":56.16,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0789\/2782\/3097\/files\/R6yc2LdH219781848905061.webp?v=1778565212","url":"https:\/\/bookscloud.io\/products\/logic-a-primer-paperback","provider":"BooksCloud Book Dropshipping","version":"1.0","type":"link"}