Free Logic: Selected Essays

Cover......Page 1
Abstract......Page 3
Title Page......Page 5
Contents......Page 9
Introduction......Page 11
1. Introduction......Page 15
2. Russell\'s theory in Principia Mathematica......Page 16
3. Russell’s theory in ‘On Denoting’......Page 25
1. Introduction......Page 30
2. Another explanation......Page 33
3. On the definition of E!(t)......Page 38
4. Definite descriptions......Page 40
5. The definite description paradox......Page 43
6. Additional semantical considerations......Page 45
1. The conjecture......Page 47
2. The proof......Page 48
3. A new explanation of logical theories of definite descriptions......Page 50
4. Some benefits of freedom......Page 53
1. Introduction......Page 58
2. Syntax of H-BTDD......Page 60
3. Semantics of H-BTDD......Page 62
4. Assessment of H-BTDD......Page 63
5. A neo-HBTDD......Page 67
6. Assessment of STDD......Page 74
1. Introduction......Page 83
2. Positive free definite description theories: preliminary remarks......Page 91
3. Positive free definite description theories: the formal language......Page 93
Semantics I: free logic......Page 96
4. Semantics III: definite descriptions......Page 97
6. A minimal system......Page 99
7. A minimal definite description theory and uniform completeness proofs......Page 102
8. Appendix......Page 103
1. Introduction......Page 106
2. Predication and extensionality......Page 107
3. Some implications......Page 111
4. Fixing the theory......Page 116
1. Introduction......Page 121
2. Co-extensive predicates revisited......Page 125
3. Predicates and general terms......Page 129
1. What free logic is and what it isn’t......Page 136
2. Why free logic?......Page 152
3. The importance of free logic......Page 168
1. Logical truth and truth-value gaps......Page 190
2. A revised account of logical truth......Page 194
3. Truth-value gaps versus another truth value......Page 196
4. Reconsructing Reichenbach’s interpretation of elementary microphysical statements......Page 199
5. Dodging some bullets......Page 203