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 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 thoroughly revised version of an essay on J.S. Mill’s Methods;
various addenda and diagrams for Judaic Logic, as well as a historical essay;
a brief analysis of Islamic logic.
An edition of Ruminations
(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.
Publish Date
2005
Publisher
Avi Sion
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Table of Contents
1. About the Laws of Thought 7
1. Dialectical Reasoning 7
2. Genesis of Axioms 10
3. Paradoxical Propositions 12
4. Contradiction 18
5. Varieties of Contradiction 21
6. Double Standards 23
7. Special Status of the Laws 26
8. Motors of Rational Thought 30
9. Cogito, Ergo Sum 31
10. Concerning Identity 33
2. About Induction 36
1. Critical thought 36
2. Misappropriation 37
3. Evidence 38
4. Detail 40
5. Seems and Is 40
6. Adduction 41
7. Pertinence 42
8. Trial and Error 43
9. Field Specific 44
10. The Human Factor 45
11. Theorizing 48
12. Approaching Reality 50
13. Experiment 51
14. The Uncertainty Principle 53
15. Epistemic Ethics 57
16. Phenomenology 59
17. Appearance, Reality and Illusion 62
18. Existence and Non-existence 65
19. Philosophy and Religion 69
3. About Words 83
1. Meaning 83
2. Traditional Distinctions 90
3. Logic and Linguistics 98
4. Dialogue 104
5. Poles of Duality 107
4. About Formal Logic 110
1. Form and Content 110
2. Singular Subject 112
3. Special Forms 115
4. Fuzzy Logic 117
5. Added Determinants 118
6. Relational Expressions 121
7. Disjunction 123
8. Material and Strict Implication 133
9. Nesting of Hypotheticals 137
10. Compound Theses 140
11. Validation of Nesting 145
12. Brackets in Logic 149
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 166
5. A Formal Impossibility 172
6. The Analytic/Synthetic Dichotomy 177
7. On the Russell Paradox 180
8. An Illustration of Russell’s 182
9. On Grelling’s Paradox 185
6. About “Modern Logic” 192
1. A School of Logicians 192
2. Alleged New Methods 192
3. Non-Aristotelian “Logic” 194
4. Postmodern “Logic” 198
5. Mere Manipulations 200
6. Thinking Reflexively 202
7. Conventional Logic 204
8. Absolute Truths 205
9. Untouched by Consciousness 206
10. Logical Atomism 207
11. Exclusive Judgments 211
12. Empty Terms 213
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 229
6. Experimental Techniques 233
7. Private Languages 235
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 250
7. Billiard Balls 252
8. Against Kant on Freewill 254
9. Alleged Influences 259
10. Analogical Inferences 262
9. About Negation 269
1. Negation in Adduction 269
2. Positive and Negative Phenomena 273
3. Positive Experience Precedes Negation 276
4. Negation is an Intention 281
5. Formal Consequences 284
6. Negation and the Laws Of Thought 288
7. Pure Experience 293
8. Consistency is Natural 296
9. Status of the Logic of Causation 299
10. Zero, One and More 301
11. Psychology of Negation 306
12. Negation in Meditation 307
10. Jewish Logic: A Brief History and Evaluation 310
1. Introduction 310
2. Traditional Claims and Historical Record 312
3. Comparisons and Assessments 318
11. Islamic Logic 329
1. The Structure of Islamic Law 329
2. Islamic Hermeneutics 334
3. Interpreters 345
12. Logical Aspects of Foucault’s Archeology 349
1. Slippery 349
2. Catch Him 353
3. Healing 362
13. Comments on 3 chapters of Foucault 370
1. Las Meninas 370
2. The Prose of the World 371
3. Representing 376
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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| February 27, 2017 | Edited by Avi Sion | added description |
| February 27, 2017 | Edited by Avi Sion | Added new cover |
| February 27, 2017 | Created by Avi Sion | Added new book. |