Mathematical Logic, Revised EditionW. V. Quine's systematic development of mathematical logic has been widely praised for the new material presented and for the clarity of its exposition. This revised edition, in which the minor inconsistencies observed since its first publication have been eliminated, will be welcomed by all students and teachers in mathematics and philosophy who are seriously concerned with modern logic. |
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Table des matières
1 | |
CHAPTER ONE Statements | 9 |
CHAPTER TWO Quantification | 63 |
CHAPTER THREE Terms | 117 |
CHAPTER FOUR Extended Theory of Classes | 153 |
CHAPTER FIVE Relations | 195 |
CHAPTER SIX Number | 235 |
CHAPTER SEVEN Syntax | 281 |
APPENDIX Theorem versus Metatheorem | 319 |
List of Definitions | 323 |
List of Theorems and Metatheorems | 325 |
Bibliographical References | 331 |
339 | |
341 | |
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Expressions et termes fréquents
abbreviation abstract according alphabetic alternation analogue appears applied arithmetic atomic axioms bears belongs biconditional bound called closure components composition conditional conjunction connective construction construed containing free occurrences contains context convenient corresponding course defined definition described distinct dots element entities equivalent explained expression fact false fashion formal formula free variables function further given hand hence identity included indicate involving joint denial Jones kind letters logical mathematical matrix matter meaning membership merely metatheorems method mode mortal names natural number notation Note notion object pairs parentheses present primitive Proof protosyntactical proves putting quantification ratios real numbers refer relation respect result sense shows similar Similarly simply sort statements symbolically tautologous theorem theory tion true truth truth-functional turn variables whole