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RUMINATIONS Sundry notes and essays on Logic © Avi Sion, 2005. All rights reserved.
1. Dialectical Reasoning 2. Genesis of Axioms 3. Paradoxical Propositions 4. Contradiction 5. Varieties of Contradiction 6. Double Standards 7. Special Status of the Laws 8. Motors of Rational Thought 9. Cogito, Ergo Sum 10. Concerning Identity 1. Critical thought 2. Misappropriation 3. Evidence 4. Detail 5. Seems and Is 6. Adduction 7. Pertinence 8. Trial and Error 9. Field Specific 10. The Human Factor 11. Theorizing 12. Approaching Reality 13. Experiment 14. The Uncertainty Principle 15. Epistemic Ethics 16. Phenomenology 17. Appearance, Reality and Illusion 18. Existence and Non-existence 19. Philosophy and Religion 1. Meaning 2. Traditional Distinctions 3. Logic and Linguistics 4. Dialogue 5. Poles of Duality 1. Form and Content 2. Singular Subject 3. Special Forms 4. Fuzzy Logic 5. Added Determinants 6. Relational Expressions 7. Disjunction 8. Material and Strict Implication 9. Nesting of Hypotheticals 10. Compound Theses 11. Validation of Nesting 12. Brackets in Logic 1. On the Liar Paradox 2. Making No Claim 3. Nagarjuna’s Trickery 4. Non-apprehension of Non-things 5. A Formal Impossibility 6. The Analytic/Synthetic Dichotomy 7. On the Russell Paradox 8. An Illustration of Russell’s 9. On Grelling’s Paradox 1. A School of Logicians 2. Alleged New Methods 3. Non-Aristotelian “Logic” 4. Postmodern “Logic” 5. Mere Manipulations 6. Thinking Reflexively 7. Conventional Logic 8. Absolute Truths 9. Untouched by Consciousness 10. Logical Atomism 11. Exclusive Judgments 12. Empty Terms 7. ABOUT COGNITIVE DEVELOPMENT 1. The Fourth R 2. Empirical Studies 3. Piaget’s Model 4. Piaget’s Experiments 5. Lines of Inquiry 6. Experimental Techniques 7. Private Languages 1. Induction of Causatives 2. True of All Opposites 3. Extensional to Natural 4. Hume’s Denials 5. Hume’s Mentalism 6. Constant Conjunction 7. Billiard Balls 8. Against Kant on Freewill 9. Alleged Influences 10. Analogical Inferences 1. Negation in Adduction 2. Positive and Negative Phenomena 3. Positive Experience Precedes Negation 4. Negation is an Intention 5. Formal Consequences 6. Negation and the Laws Of Thought 7. Pure Experience 8. Consistency is Natural 9. Status of the Logic of Causation 10. Zero, One and More 11. Psychology of Negation 12. Negation in Meditation
Preamble 1. The Joint Method of Agreement and Difference 2. The Method of Agreement 3. The Method of Difference 4. The Method of Residues 5. The Method of Concomitant Variations Concluding Remarks
10. JEWISH LOGIC: A BRIEF HISTORY AND EVALUATION 1. Introduction 2. Traditional Claims and Historical Record 3. Comparisons and Assessments 1. The Structure of Islamic Law 2. Islamic Hermeneutics 3. Interpreters 12. LOGICAL ASPECTS OF FOUCAULT’S ARCHEOLOGY 1. Slippery 2. Catch Him 3. Healing 13. COMMENTS ON 3 CHAPTERS OF FOUCAULT 1. Las Meninas 2. The Prose of the World 3. Representing 14. BOLZANO’S SEMANTICS CONCEPTS 1. “Propositions-in-Themselves” 2. “Ideas-in-Themselves” 3. The Issue of Time
The section headings in chapters 1-9 have been newly added in the 2008 reprint for the reader’s convenience. * Three chapters have been omitted from the 2008 reprint : “J. S. Mill’s Methods” (2005), which has been reprinted with The Logic of Causation; and “Addenda to Judaic Logic” (1997-2005) and “Diagrams for Judaic Logic” (2005), which have been reprinted with Judaic Logic. The remaining last chapters have been renumbered 10-14.
Contents (as listed in the 2005 edition). Part I - Logic Notes 7. About Cognitive Development Part II - More Logic Notes and Essays 4. Jewish Logic: A Brief History and Evaluation 6. Logical Aspects of Foucault's "Archeology". 7. Comments on 3 chapters of Foucault 8. BOLZANO'S SEMANTICS CONCEPTS
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