Page 12 - Logical Philosophy: A Compendium

8 LOGICAL PHILOSOPHY

5. Added Determinants ............................................................................................................ 394
6. Relational Expressions ........................................................................................................ 395
7. Disjunction .......................................................................................................................... 396
8. Material and Strict Implication ............................................................................................ 399
9. Nesting of Hypotheticals ..................................................................................................... 400
10. Compound Theses ........................................................................................................... 401
11. Validation of Nesting ...................................................................................................... 402
12. Brackets in Logic ............................................................................................................. 403
5. About Paradoxes ...................................................................................................................... 405
1. On the Liar Paradox ............................................................................................................ 405
2. Making No Claim ................................................................................................................ 405
3. Nagarjuna’s Trickery ........................................................................................................... 407
4. Non-apprehension of Non-things ........................................................................................ 409
5. A Formal Impossibility ....................................................................................................... 411
6. The Analytic/Synthetic Dichotomy ..................................................................................... 412
7. On the Russell Paradox ....................................................................................................... 413
8. An Illustration of Russell’s .................................................................................................. 414
9. On Grelling’s Paradox ......................................................................................................... 415
6. About “Modern Logic” ........................................................................................................... 418
1. A School of Logicians ......................................................................................................... 418
2. Alleged New Methods ......................................................................................................... 418
3. Non-Aristotelian “Logic” .................................................................................................... 419
4. Postmodern “Logic” ............................................................................................................ 420
5. Mere Manipulations ............................................................................................................ 420
6. Thinking Reflexively ........................................................................................................... 421
7. Conventional Logic ............................................................................................................. 421
8. Absolute Truths ................................................................................................................... 422
9. Untouched by Consciousness .............................................................................................. 422
10. Logical Atomism ............................................................................................................. 423
11. Exclusive Judgments ....................................................................................................... 424
12. Empty Terms ................................................................................................................... 424
7. About Cognitive Development ................................................................................................ 426
1. The Fourth R ....................................................................................................................... 426
2. Empirical Studies ................................................................................................................ 426
3. Piaget’s Model ..................................................................................................................... 427
4. Piaget’s Experiments ........................................................................................................... 428
5. Lines of Inquiry ................................................................................................................... 430
6. Experimental Techniques .................................................................................................... 431
7. Private Languages ............................................................................................................... 432
8. About Causal Logic ................................................................................................................. 433
1. Induction of Causatives ....................................................................................................... 433
2. True of All Opposites .......................................................................................................... 433
3. Extensional to Natural ......................................................................................................... 434
4. Hume’s Denials ................................................................................................................... 434
5. Hume’s Mentalism .............................................................................................................. 435
6. Constant Conjunction .......................................................................................................... 436
7. Billiard Balls ........................................................................................................................ 437
8. Against Kant on Freewill .................................................................................................... 438
9. Alleged Influences ............................................................................................................... 439
10. Analogical Inferences ...................................................................................................... 440
9. About Negation ....................................................................................................................... 443
1. Negation in Adduction ........................................................................................................ 443
2. Positive and Negative Phenomena ...................................................................................... 444
3. Positive Experience Precedes Negation .............................................................................. 445
4. Negation is an Intention ...................................................................................................... 446