Systems of Formal Logic
Hackstaff, L.H.
Produktnummer:
18afde9716ae9542e1974270d40d3e2a36
Autor: | Hackstaff, L.H. |
---|---|
Themengebiete: | formal logic logic propositional calculus symbolic logic |
Veröffentlichungsdatum: | 12.10.2011 |
EAN: | 9789401035491 |
Sprache: | Englisch |
Seitenzahl: | 372 |
Produktart: | Kartoniert / Broschiert |
Verlag: | Springer Netherland |
Produktinformationen "Systems of Formal Logic"
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.

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