ISBN: 9789027700773 - systems of formal logic (3 Ergebnisse)

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  • Sprache: Englisch

    Verlag: D. Reidel, 1966

    902770077X / 9789027700773

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    Zustand: Very Good. 372 pp., hardcover, ownership markings to the front free endpaper and fore edge, else very good in an edge-worn dust jacket. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.…

  • Sprache: Englisch

    Verlag: Springer, 1966

    902770077X / 9789027700773

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    Zustand: Gut. Zustand: Gut | Seiten: 372 | Sprache: Englisch | Produktart: Bücher | The present work constitutes an effort to approach the subject of symbol­ ic logic at the elementary to intermediate level in a novel way. The book is a study of a number of systems, their methods, their rela­ tions, their differences. In pursuit of this goal, a chapter explaining basic concepts of modern logic together with the truth-table techniques of definition and proof is first set out. In Chapter 2 a kind of ur-Iogic is built up and deductions are made on the basis of its axioms and rules. This axiom system, resembling a propositional system of Hilbert and Ber­ nays, is called P +, since it is a positive logic, i. e. , a logic devoid of nega­ tion. This system serves as a basis upon which a variety of further sys­ tems are constructed, including, among others, a full classical proposi­ tional calculus, an intuitionistic system, a minimum propositional calcu­ lus, a system equivalent to that of F. B. Fitch (Chapters 3 and 6). These are developed as axiomatic systems. By means of adding independent axioms to the basic system P +, the notions of independence both for primitive functors and for axiom sets are discussed, the axiom sets for a number of such systems, e. g. , Frege's propositional calculus, being shown to be non-independent. Equivalence and non-equivalence of systems are discussed in the same context. The deduction theorem is proved in Chapter 3 for all the axiomatic propositional calculi in the book. …

  • Sprache: Englisch

    Verlag: Springer, 1966

    902770077X / 9789027700773

    • Hardcover

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    Hardcover. Zustand: gut. 1966. Systems of Formal Logic In deutscher Sprache. pages.