Frege and the Logic of Sense and Reference (Studies in Philosophy)

Contents......Page 3
INTRODUCTION......Page 12
FREGE’S PROJECT: LOGICISM AND THE NOTION OF BEGRI......Page 13
THE THEORY OF SINN AND BEDEUTUNG......Page 17
THE LIMITATIONS OF THE BEGRIFFSSCHRIFT......Page 23
FILLING THE GAP......Page 30
LOGICAL LANGUAGE AND THE CONTENT OF LOGIC......Page 34
FUNCTIONALITY AND PREDICATION......Page 37
QUANTIFIERS AND GOTHIC LETTERS......Page 41
ROMAN LETTERS: AN ALTERNATIVE NOTATION FOR GENERALITY......Page 47
VALUE-RANGES AND EXTENSIONS OF CONCEPTS......Page 51
THE SYNTACTIC RULES OF THE BEGRIFFSSCHRIFT......Page 53
THE AXIOMATIZATION OF FREGE’S SYSTEM......Page 58
RESPONSES TO THE PARADOX......Page 65
THE NATURE OF SINNE GENERALLY......Page 68
THE SINNE OF INCOMPLETE EXPRESSIONS AND THE COMPOSITION OF GEDANKEN......Page 74
CONTEXT PRINCIPLE, PRIORITY THESIS, AND MULTIPLE ANALYSES: CHALLENGES TO COMPOSITIONALITY......Page 85
THE IDENTITY CONDITIONS OF SINNE AND GEDANKEN......Page 98
OVERVIEW......Page 103
THE METHOD OF TRANSPARENT INTENSIONAL LOGIC......Page 104
ALTERNATIVES (0), (1) AND (2) AND SYNONYMOUS ISOMORPHISM......Page 109
THE FORMULATION OF THE SYSTEMS......Page 113
PROBLEMS IN CHURCH’S LOGIC OF SENSE AND DENOTATIO......Page 119
THE UNFREGEAN ELEMENTS OF CHURCH’S LOGIC OF SEN......Page 125
BASIC FEATURES......Page 133
NAMES AND VARIABLES FOR SINNE......Page 135
THE NEW CONSTANTS OF THE EXPANDED LANGUAGE......Page 139
SYNTACTIC RULES OF THE EXPANDED LANGUAGE......Page 144
AXIOMS AND INFERENCE RULES OF THE EXPANDED CALCULI......Page 149
AND QUANTIFYING IN......Page 161
DIFFICULTIES WITH THE EXPANDED CALCULI......Page 166
“SOLATIUM MISERIS, SOCIOS HABUISSE MALORUM.”......Page 179
RUSSELL’S ONTOLOGY OF PROPOSITIONS......Page 180
RUSSELL AND THE PRINCIPLES OF MATHEMATICS APPENDIX B PARADOX......Page 183
FREGE AND THE PRINCIPLES OF MATHEMATICS APPENDIX B PARADOX......Page 189
LESSONS LEARNED FROM RUSSELL......Page 197
OTHER SYSTEMS OF INTENSIONAL LOGIC......Page 199
ADEQUATE VERSUS AD HOC SOLUTIONS......Page 209
A CANTORIAN ANALYSIS OF THE DIFFICULTIES......Page 210
DROPPING CLASSES AND/OR CONCEPTS......Page 214
REDUCING THE NUMBER OF SINNE AND GEDANKEN......Page 221
RAMIFICATION AS A SOLUTION TO THE PARADOXES......Page 229
THE JUSTIFICATION OF RAMIFICATION......Page 232
CONCLUSION......Page 236
DEFINITIONS......Page 239
AXIOMS......Page 240
INFERENCE RULES......Page 242
WORKS BY FREGE......Page 247
WORKS BY OTHER AUTHORS......Page 250
Index......Page 260