Page 9 - Future Logic
P. 9
FUTURE LOGIC 7
31 . PARADOXES. ............................................................................................................. 172
1. Internal Inconsistency. .............................................................................................. 172
2. The Stolen Concept Fallacy. ...................................................................................... 173
3. Systematization. ......................................................................................................... 174
4. Properties. ................................................................................................................... 177
32 . DOUBLE PARADOXES. ............................................................................................ 180
1. Definition. ................................................................................................................... 180
2. The Liar Paradox. ...................................................................................................... 181
3. The Barber Paradox. .................................................................................................. 182
PART IV. DE RE CONDITIONING. ....................................... 183
33 . CONDITIONAL PROPOSITIONS. ........................................................................... 184
1. De-Re Conditioning. ................................................................................................... 184
2. Types of Causality. ..................................................................................................... 185
3. Laws of Causality. ...................................................................................................... 186
34 . NATURAL CONDITIONALS: FEATURES. ............................................................. 187
1. Basis and Connection. ................................................................................................ 187
2. Quantification. ............................................................................................................ 190
3. Other Features. .......................................................................................................... 191
4. Natural Disjunction. .................................................................................................. 193
35 . NATURALS CONDITIONALS: OPPOSITIONS AND EDUCTIONS. .................... 195
1. Translations. ............................................................................................................... 195
2. Oppositions. ................................................................................................................ 195
3. Eductions. ................................................................................................................... 196
36 . NATURAL CONDITIONAL SYLLOGISM AND PRODUCTION. .......................... 198
1. Syllogism. .................................................................................................................... 198
2. Summary and Quantities. ......................................................................................... 201
3. Production. .................................................................................................................. 203
37 . NATURAL APODOSIS AND DILEMMA. ................................................................ 207
1. Apodosis. ..................................................................................................................... 207
2. Dilemma. ..................................................................................................................... 210
38 . TEMPORAL CONDITIONALS. ................................................................................ 213
1. Structure and Properties. .......................................................................................... 213
2. Relationships to Naturals. ......................................................................................... 214
3. Mixed Modality Arguments. ...................................................................................... 214
39 . EXTENSIONALS: FEATURES, OPPOSITIONS, EDUCTIONS. ........................... 216
1. Main Features. ........................................................................................................... 216
2. Modal and Other Forms. ............................................................................................ 218
3. Oppositions. ................................................................................................................ 220
4. Translations and Eductions. ...................................................................................... 221
40 . EXTENSIONAL CONDITIONAL DEDUCTION. .................................................... 222
1. Syllogism. .................................................................................................................... 222
2. Production. .................................................................................................................. 224
3. Apodosis. ..................................................................................................................... 226
4. Extensional Dilemma. ................................................................................................ 229
41 . MODALITIES OF SUBSUMPTION. ........................................................................ 231
1. Formal Review. ........................................................................................................... 231
2. Impact. ........................................................................................................................ 232
3. Primitives. .................................................................................................................. 233
4. Transformations. ........................................................................................................ 234
5. Imaginary Terms. ....................................................................................................... 235
42 . CONDENSED PROPOSITIONS. .............................................................................. 237
1. Forms with Complex Terms. ...................................................................................... 237
2. Making Possible or Necessary. .................................................................................. 238