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JUDAIC LOGIC

© Avi Sion, 1995. All rights reserved.

 

TABLE OF CONTENTS.

 

Contents in brief:

Abstract

1. Introduction

2. Adductive Logic in the Torah.

3. The Formalities of  A-Fortiori  Logic.

4. Qal VaChomer.

5. Revised List of Biblical  A-Fortiori

6. The Language of Biblical  A-Fortiori

7. Without Prejudice

8. Initial Impressions

9. Traditional Teachings

10. The Thirteen  Midot  (I)

11. The Thirteen  Midot  (II)

12. The Sinai Connection

13. On the Concept of  Mitzvah

14. Logical Aspects of  Emunah

15. Epilogue

Appendices

Addenda

Diagrams

Allied Works:

Jewish Logic: A Brief History and Evaluation

Le raisonnement talmudique

Islamic Logic

 

Contents in detail:

ABSTRACT

Summary

 

CHAPTERS. 

 

1.   INTRODUCTION.

  1. The Development of Jewish Law. 

  2. A Logic Primer.

 

2.   ADDUCTIVE LOGIC IN THE  TORAH.

  1. The Art of Knowing.

  2. Adduction in Western Philosophy. 

  3. Adducing Prophecies and Prophethood.

  4. Logic and Mysticism.

 

3.   THE FORMALITIES OF  A-FORTIORI  LOGIC.

  1. The Valid Moods.   

  2. Validation Procedures.   

  3. Additional Details.

 

4.   QAL VACHOMER.

  1. Background.

  2. Torah Samples.

  3. The Dayo Principle. 

  4. Objections!

  5. Rabbinic Formulations.

 

5.   REVISED LIST OF BIBLICAL  A-FORTIORI.

  1. Problems Encountered. 

  2. The Solution Found. 

  3. The Data and their Analysis. 

  4. Synthesis of Results. 

  5. Talmudic/Rabbinic A-Fortiori.

 

6.  THE LANGUAGE OF BIBLICAL  A-FORTIORI.

  1. Torah Books.   

  2. Historical Books.   

  3. Other Books.  

  4. Rejects.

 

7.   WITHOUT PREJUDICE.

  1. Taking a Dilemma by its Horns.   

  2. About Revision.   

  3. Changes in the Law.

 

8.  INITIAL IMPRESSIONS.

  1. Methods and Contents

  2. Davqa or Lav Davqa? 

  3. Kushya and Terutz.  

  4. Standards of Knowledge.

 

9.   TRADITIONAL TEACHINGS.

  1. Hermeneutics.   

  2. Heuristics.   

  3. A Methodical Approach.

 

10.  THE THIRTEEN  MIDOT  (I).

  1. Exposition and Evaluation.   

  2. Inference of Information.   

  3. Scope of Terms.

 

11.  THE THIRTEEN  MIDOT  (II).

  4.  Harmonization.

 

12.  THE SINAI CONNECTION.

  1. Verdict on Rabbinic Hermeneutics.   

  2. Artificial Blocks to Natural Development of the Law.   

  3. How "Tradition" Keeps Growing.

 

13.  ON THE CONCEPT OF  MITZVAH.

  1. Basic Properties.   

  2. Complementary Factors.   

  3. How to Count Mitzvot.   

  4. Commanded  vs. Personal Morality.

 

14.   LOGICAL ASPECTS OF  EMUNAH.

  1. On Natural Proofs of Religion.   

  2. Theodicy and the Believer's Wager.   

  3. Faith and Justice.   

  4. Legislated Belief.

 

15.   EPILOGUE.

  1. Motives of the Present Research.   

  2. Conclusions of our Study.

 

Appendices and Addenda.  

 

APPENDIX 1.   Further Notes on A-Fortiori Argument.

APPENDIX 2.   Notions of Time.

APPENDIX 3.   Gematria.

APPENDIX 4.

  1. Feigenbaum's Understanding the Talmud.

  2. Rabinowich's Talmudic Terminology.

  3. The Ramchal's Ways of Reason.

APPENDIX 5.   The Hebrew Language.

APPENDIX 6.   Further Notes on Harmonization Rules.

 ADDENDA.

  1. Concerning Adductive Reasoning Relative to Prophecy.

  2. A Note on Astronomy. 

  3. An Example of Secondary A-Fortiori in the Talmud.

  4. One More Example of A-Fortiori in the Tanakh.

  5. A Note Concerning Anachronisms.

  6. Inferences from Context.

  7. Post Hoc Ergo Propter Hoc.

  8. Judgment-Calls.

  9. Tolerance of Contradictions.

  10. Proof of Gd by Analogy?

  11. Disproofs of Gd?

  12. Neither Certainty Nor Faith are Essential to Religious Ethics.

  13. The Rabbis' Antipathy to Philosophy.

 

DIAGRAMS

REFERENCES

Story of Judaic Logic.

 

Order the Slatkine Edition of Judaic Logic

 

ALLIED WORKS

 

JEWISH LOGIC: A BRIEF HISTORY AND EVALUATION.

  1. Introduction.

  2. Traditional Claims and Historical Record.

  3. Comparisons and Assessment.

 

LE RAISONNEMENT TALMUDIQUE.

  • Avant-propos.

  • Introduction.

  • La démarche du logicien.

  • L'argument a fortiori (qal va'chomer)

  • Validation.

  • La confirmation ou l'élimination d'une hypothèse par l'évidence.

  • La problématique rabbinique.

  • La règle No. 8: Lélamède.

  • Autres règles en bref.

  • Bilan.

  • Le talmud et la raison...

 

ISLAMIC LOGIC.

  • Islamic Hermeneutics.

  • The Structure of Islamic Law.

  • La philosophie de l'Islam.

 

 

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