Systems of Formal Logic is popular PDF and ePub book, written by L.H. Hackstaff in 2012-12-06, it is a fantastic choice for those who relish reading online the Philosophy genre. Let's immerse ourselves in this engaging Philosophy book by exploring the summary and details provided below. Remember, Systems of Formal Logic can be Read Online from any device for your convenience.
Systems of Formal Logic Book PDF Summary
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.
Detail Book of Systems of Formal Logic PDF
- Author : L.H. Hackstaff
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9789401035477
- Genre : Philosophy
- Total Page : 367 pages
- Language : English
- PDF File Size : 7,6 Mb
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