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RUMINATIONS

© Avi Sion, 1990-2005 All rights reserved.

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RUMINATIONS

TABLE OF CONTENTS.

 
Contents in brief:(As listed in the 2005 edition.)

Abstract

Part I – Logic Notes

1. About the Laws of Thought

2. About Induction

3. About Words

4. About Formal Logic

5. About Paradoxes

6. About “Modern Logic”

7. About Cognitive Development

8. About Causal Logic

9. ABOUT NEGATION

Part II – More Logic Notes and Essays

1. J. S. MILL’S METHODS

2. Addenda to Judaic Logic

3. Diagrams for Judaic Logic

4. Jewish Logic: A Brief History and Evaluation

5. Islamic Logic

6. Logical Aspects of Foucault’s “Archeology“.

7. Comments on 3 chapters of Foucault

8. BOLZANO’S SEMANTICS CONCEPTS

Contents in detail:

ABSTRACT

1. ABOUT THE LAWS OF THOUGHT

  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

2. ABOUT INDUCTION

  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

3. ABOUT WORDS

  1. Meaning

  2. Traditional Distinctions

  3. Logic and Linguistics

  4. Dialogue

  5. Poles of Duality

4. ABOUT FORMAL LOGIC

  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

5. ABOUT PARADOXES

  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

6. ABOUT “MODERN LOGIC”

  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

8. ABOUT CAUSAL LOGIC

  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

9. ABOUT NEGATION

  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

*. J. S. MILL’S METHODS

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

* ADDENDA TO JUDAIC LOGIC

*. DIAGRAMS FOR JUDAIC LOGIC

10. JEWISH LOGIC: A BRIEF HISTORY AND EVALUATION

  1. Introduction

  2. Traditional Claims and Historical Record

  3. Comparisons and Assessments

11. ISLAMIC LOGIC

  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.

 

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