Ruminations is a collection of sundry notes and essays on Logic. These complement and enrich the author’s past writings, further analyzing or reviewing certain issues.
Among the many topics covered are:
• the importance of the laws of thought, and how they are applied using the logic of paradox;
• details of formal logic, including some important new insights on the nesting, merger and splitting up of hypothetical propositions;
• details of causal logic, including analogical reasoning from cause to cause;
• a cutting-edge phenomenological analysis of negation.
Additionally, this volume is used to publish a number of notes and essays previously only posted in the Internet site www.TheLogician.net, including a history of Jewish logic and an analysis of Islamic logic.
An edition of Ruminations: Sundry notes and essays on Logic
(2005)
Ruminations
Sundry notes and essays on Logic
by Avi Sion
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Ruminations is a collection of sundry notes and essays on Logic. These complement and enrich the author’s past writings, further analyzing or reviewing certain issues. Some important new insights are included here, such as the inductive understanding of negation.
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Ruminations: Sundry notes and essays on Logic
2005, Author through Lulu.com
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297000917X 9782970009177
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Table of Contents
1. About the Laws of Thought 9
1. Dialectical Reasoning 9
2. Genesis of Axioms 12
3. Paradoxical Propositions 14
4. Contradiction 20
5. Varieties of Contradiction 23
6. Double Standards 25
7. Special Status of the Laws 28
8. Motors of Rational Thought 31
9. Cogito, Ergo Sum 32
10. Concerning Identity 34
2. About Induction 37
1. Critical thought 37
2. Misappropriation 38
3. Evidence 39
4. Detail 40
5. Seems and Is 41
6. Adduction 42
7. Pertinence 43
8. Trial and Error 44
9. Field Specific 45
10. The Human Factor 46
11. Theorizing 48
12. Approaching Reality 51
13. Experiment 51
14. The Uncertainty Principle 54
15. Epistemic Ethics 57
16. Phenomenology 60
17. Appearance, Reality and Illusion 63
18. Existence and Non-existence 66
19. Philosophy and Religion 69
3. About Words 83
1. Meaning 83
2. Traditional Distinctions 89
3. Logic and Linguistics 97
4. Dialogue 104
5. Poles of Duality 106
4. About Formal Logic 111
1. Form and Content 111
2. Singular Subject 113
3. Special Forms 116
4. Fuzzy Logic 117
5. Added Determinants 119
6. Relational Expressions 121
7. Disjunction 124
8. Material and Strict Implication 133
9. Nesting of Hypotheticals 137
10. Compound Theses 141
11. Validation of Nesting 145
12. Brackets in Logic 148
5. About Paradoxes 151
1. On the Liar Paradox 151
2. Making No Claim 153
3. Nagarjuna’s Trickery 157
4. Non-apprehension of Non-things 165
5. A Formal Impossibility 171
6. The Analytic/Synthetic Dichotomy 176
7. On the Russell Paradox 179
8. An Illustration of Russell’s 181
9. On Grelling’s Paradox 184
6. About “Modern Logic” 191
1. A School of Logicians 191
2. Alleged New Methods 191
3. Non-Aristotelian “Logic” 193
4. Postmodern “Logic” 197
5. Mere Manipulations 198
6. Thinking Reflexively 200
7. Conventional Logic 202
8. Absolute Truths 204
9. Untouched by Consciousness 205
10. Logical Atomism 206
11. Exclusive Judgments 209
12. Empty Terms 211
7. About Cognitive Development 215
1. The Fourth R 215
2. Empirical Studies 217
3. Piaget’s Model 220
4. Piaget’s Experiments 222
5. Lines of Inquiry 228
6. Experimental Techniques 232
7. Private Languages 234
8. About Causal Logic 239
1. Induction of Causatives 239
2. True of All Opposites 241
3. Extensional to Natural 242
4. Hume’s Denials 243
5. Hume’s Mentalism 247
6. Constant Conjunction 249
7. Billiard Balls 252
8. Against Kant on Freewill 254
9. Alleged Influences 259
10. Analogical Inferences 261
9. About Negation 269
1. Negation in Adduction 269
2. Positive and Negative Phenomena 272
3. Positive Experience Precedes Negation 276
4. Negation is an Intention 280
5. Formal Consequences 284
6. Negation and the Laws Of Thought 287
7. Pure Experience 292
8. Consistency is Natural 294
9. Status of the Logic of Causation 298
10. Zero, One and More 300
11. Psychology of Negation 304
12. Negation in Meditation 305
10. Jewish Logic: A Brief History and Evaluation 309
1. Introduction 309
2. Traditional Claims and Historical Record 311
3. Comparisons and Assessments 317
11. Islamic Logic 327
1. The Structure of Islamic Law 327
2. Islamic Hermeneutics 332
3. Interpreters 342
12. Logical Aspects of Foucault’s Archeology 347
1. Slippery 347
2. Catch Him 351
3. Healing 360
13. Comments on 3 chapters of Foucault 369
1. Las Meninas 369
2. The Prose of the World 370
3. Representing 375
14. Bolzano’s Semantics Concepts 387
1. “Propositions-in-Themselves” 387
2. “Ideas-in-Themselves” 391
3. The Issue of Time 396
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- Created October 13, 2010
- 4 revisions
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| August 22, 2020 | Edited by ISBNbot2 | normalize ISBN |
| October 13, 2010 | Edited by Avi Sion | Edited without comment. |
| October 13, 2010 | Edited by Avi Sion | Added new cover |
| October 13, 2010 | Created by Avi Sion | Added new book. |