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Systems Of Formal Logic Softcover Reprint Of The Original 1st Ed 1966 Lh Hackstaff

  • SKU: BELL-50902482
Systems Of Formal Logic Softcover Reprint Of The Original 1st Ed 1966 Lh Hackstaff
$ 31.00 $ 45.00 (-31%)

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Systems Of Formal Logic Softcover Reprint Of The Original 1st Ed 1966 Lh Hackstaff instant download after payment.

Publisher: Springer
File Extension: PDF
File size: 7.12 MB
Pages: 372
Author: L.H. Hackstaff
ISBN: 9789401035491, 9401035490
Language: English
Year: 2011
Edition: Softcover reprint of the original 1st ed. 1966

Product desciption

Systems Of Formal Logic Softcover Reprint Of The Original 1st Ed 1966 Lh Hackstaff by L.h. Hackstaff 9789401035491, 9401035490 instant download after payment.

The present work constitutes an effort to approach the subject of symbol­ic logic at the elementary to intermediate level in a novel way. The book is a study of a number of systems, their methods, their rela­tions, 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-logic 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 Ber­nays, is called P_+, since it is a positive logic, i. e. , a logic devoid of nega­tion. This system serves as a basis upon which a variety of further sys­tems are constructed, including, among others, a full classical proposi­tional calculus, an intuitionistic system, a minimum propositional calcu­lus, 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.

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