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Systems of Formal Logic - L.H. Hackstaff
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ISBN: 902770077X

[SR: 12820415], Hardcover, [EAN: 9789027700773], Springer, Springer, Book, [PU: Springer], Springer, 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., 11053, Logic & Language, 11019, Philosophy, 3377866011, Politics & Social Sciences, 1000, Subjects, 283155, Books, 684280011, Logic, 468232, Philosophy, 468206, Humanities, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books

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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. Systems of Formal Logic Bücher > Fremdsprachige Bücher > Englische Bücher gebundene Ausgabe 31.07.1966 Buch (fremdspr.), Springer, .196

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ISBN: 9789027700773

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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. Systems of Formal Logic Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Springer

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Gebundene Ausgabe, [EAN: 9789027700773], Springer, Springer, Book, [PU: Springer], Springer, 69046011, Logik & Sprache, 69029011, Philosophie, 69028011, Sachbücher, 54071011, Genres, 52044011, Fremdsprachige Bücher

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Hardcover, [EAN: 9789027700773], Kluwer Academic Publishers, Kluwer Academic Publishers, Book, [PU: Kluwer Academic Publishers], Kluwer Academic Publishers, 276315, Philosophy, 496404, History, 496508, Introduction to Philosophy, 276319, Non-Western, 496410, Philosophers, 60, Society, Politics & Philosophy, 1025612, Subjects, 266239, Books

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Details zum Buch

Detailangaben zum Buch - Systems of Formal Logic


EAN (ISBN-13): 9789027700773
ISBN (ISBN-10): 902770077X
Gebundene Ausgabe
Erscheinungsjahr: 1966
Herausgeber: KLUWER ACADEMIC PUBL
372 Seiten
Gewicht: 0,699 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 27.05.2009 02:11:45
Buch zuletzt gefunden am 01.03.2017 18:30:00
ISBN/EAN: 902770077X

ISBN - alternative Schreibweisen:
90-277-0077-X, 978-90-277-0077-3


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