Page 10 - Future Logic

8 FUTURE LOGIC

PART V(a). CLASS LOGIC. ..................................................... 240
43 . THE LOGIC OF CLASSES. ....................................................................................... 241
1. Subsumptive or Nominal. .......................................................................................... 241
2. Classes. ....................................................................................................................... 241
3. Classes of Classes. ...................................................................................................... 244
44 . HIERARCHIES AND ORDERS. ............................................................................... 248
1. First Order Hierarchies. ............................................................................................ 248
2. Second Order Hierarchies. ......................................................................................... 249
3. Extreme Cases. ........................................................................................................... 250
45 . ILLICIT PROCESSES IN CLASS LOGIC. ............................................................... 251
1. Self-membership. ........................................................................................................ 251
2. The Russell Paradox. .................................................................................................. 252
3. Impermutability. ........................................................................................................ 252
PART V(b). ADDUCTION. ....................................................... 255
46 . ADDUCTION. ............................................................................................................. 256
1. Logical Probability. .................................................................................................... 256
2. Providing Evidence. .................................................................................................... 257
3. Weighting Evidence. ................................................................................................... 260
4. Other Types of Probability. ........................................................................................ 262
47 . THEORY FORMATION. ............................................................................................ 264
1. Theorizing. .................................................................................................................. 264
2. Structure of Theories. ................................................................................................. 265
3. Criteria. ....................................................................................................................... 266
4. Control. ....................................................................................................................... 267
48 . THEORY SELECTION. ............................................................................................. 269
1. The Scientific Method. ................................................................................................ 269
2. Compromises. ............................................................................................................. 270
3. Theory Changes. ......................................................................................................... 271
4. Exclusive Relationships. ............................................................................................ 272
49 . SYNTHETIC LOGIC. ................................................................................................. 274
1. Synthesis. .................................................................................................................... 274
2. Self-Criticism. ............................................................................................................. 274
3. Fairness. ..................................................................................................................... 276
PART VI. FACTORIAL INDUCTION. ................................... 277
50 . ACTUAL INDUCTION. ............................................................................................. 278
1. The Problem. ............................................................................................................... 278
2. Induction of Particulars. ............................................................................................ 279
3. Generalization. ........................................................................................................... 279
4. Particularization. ........................................................................................................ 280
5. Validation. .................................................................................................................. 281
51 . ELEMENTS AND COMPOUNDS. ............................................................................ 283
1. Elements and Compounds. ........................................................................................ 283
2. Gross Formulas. ......................................................................................................... 283
3. Oppositions. ................................................................................................................ 288
4. Double Syllogisms. ..................................................................................................... 289
5. Complements. ............................................................................................................. 289
52 . FRACTIONS AND INTEGERS. ................................................................................ 291
1. Fractions. .................................................................................................................... 291
2. Double Syllogisms. ..................................................................................................... 293
3. Integers. ...................................................................................................................... 293
4. Further Developments. .............................................................................................. 296
53 . FACTORIAL ANALYSIS. .......................................................................................... 298
1. Factorization. .............................................................................................................. 298
2. Applications. ............................................................................................................... 298
3. Overlap Issues. ........................................................................................................... 300
4. More Factorial Formulas. .......................................................................................... 300
5. Open System Analysis. ............................................................................................... 301