Original writings by Avi Sion on the theory and practice of inductive and deductive LOGIC  

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© Avi Sion

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© Avi Sion, 1990 and 1996.  © Avi Sion, 1999, 2003, 2010. © Avi Sion, 1995 and 1997. 
Abstract Abstract Abstract
Table of Contents Table of Contents  Table of Contents
Chapters Chapters Chapters 
Part I. Actual Categoricals Phase One: Macroanalysis 1. Introduction
1. Introduction 1. The Paradigm of Causation 2. Adductive Logic in the Torah
2. Foundations 2. The Generic Determinations 3. The Formalities of  A-Fortiori  Logic
3. Logical Relations 3. The Specific Determinations 4. Qal VaChomer
4. Words and Things 4. Immediate Inferences 5. Revised List of Biblical  A-Fortiori
5. Propositions 5. Causative Syllogism 6. The Language of Biblical  A-Fortiori
6. Oppositions 6. Lists of Positive Moods 7. Without Prejudice
7. Eductions 7. Reduction of Positive Moods 8. Initial Impressions
8. Syllogisms: Definitions 8. Matricial Analyses 9. Traditional Teachings
9. Syllogisms: Applications 9. Squeezing Out More Information  10. The Thirteen  Midot  (I)
10. Syllogisms: Validations 10. Wrapping Up Phase One 11. The Thirteen  Midot  (II)
Part II. Modal Categoricals Phase Two: Microanalysis 12. The Sinai Connection.
11. Modality: Categories and Types 11. Piecemeal Microanalysis 13. On the Concept of  Mitzvah
12. Sources of Modality 12. Systematic Microanalysis 14. Logical Aspects of  Emunah
13. Modal Propositions 13. Some More Microanalyses 15. Epilogue
14. Modal Oppositions and Eductions 14. Main Three-Item Syllogisms Appendices
15. Main Modal Syllogisms 15. Some More Three-Item Syllogisms Addenda
16. Other Modal Syllogisms 16. Outstanding Issues Diagrams
17. Transitive Categoricals Phase Three: Software Assisted Analysis Allied Works 
18. Permutation 17. Resuming the Research Jewish Logic: A Brief History and Evaluation
19. More About Quantity 18. Moduses of the Forms Le raisonnement talmudique
Part III. Logical Conditioning 19. Defining Causation Islamic Logic
20. Credibility 20. Concerning Complements Order the Slatkine Edition of Judaic Logic
21. Logical Modality 21. Causative Syllogisms  
22. Contextuality 22. Scanning for Conclusions MEDITATIONS
23. Conjunction 23. Exploring Further Afield © Avi Sion, 2006.
24. Hypothetical Propositions 24. A Practical Guide to Causative Logic Abstract
25. Hypotheticals: Oppositions and Eductions Appendices Table of Contents
26. Disjunction J.S. Mill's Methods: A Critical Analysis Chapters 
27. Intricate Logic Grand Matrices Part 1: Some Theoretical Considerations
28. Logical Compositions Tables and Diagrams 1. What is meditation?
29. Hypothetical Syllogism and Production References 2. Thought and meditation
30. Logical Apodosis and Dilemma   3. The goals of meditation
31. Paradoxes VOLITION & ALLIED CAUSAL CONCEPTS 4. Theory and practice
32. Double Paradoxes © Avi Sion, 2004. 5. Interpretations
Part IV. De Re Conditioning Abstract 6. The coexistence of the One and the many
33. Conditional Propositions Table of Contents 7. Methods and experiences
34. Natural Conditionals: Features Chapters Part 2: Understanding The Self
35. Natural Conditionals: Oppositions, Eductions 1. Basic Causal Relations 8. The individual self in Monism
36. Natural Conditional Syllogism and Production 2. Interactions between Volition and Causation 9. The impression of self
37. Natural Apodosis and Dilemma 3. Further Analysis of Volition 10. Impermanence: the concept and the principle
38. Temporal Conditionals 4. Consciousness and Responsibility 11. Not an essence, but an entity
39. Extensionals: Features, Oppositions, Eductions 5. Influence and Freedom 12. Distinguishing the ego
40. Extensional Conditional Deduction 6. Further Analysis of Influence 13. Dismissing the ego
41. Modalities of Subsumption 7. The Workings of Volition 14. Relief from suffering
42. Condensed Propositions 8. Volition and the Special Sciences Part 3: Some Behavioral Disciplines
Part V(a). Class-Logic 9. Will, Velleity and Whim 15. Taking up the challenge
43. The Logic of Classes 10. Affections and Appetites 16. Face facts with equanimity
44. Hierarchies and Orders 11. Complications of Influence 17. Stop substance addictions
45. Illicit Processes in Class Logic 12. Urges and Impulses 18. Don’t stuff yourself silly
Part V(b). Adduction 13. The Quasi-Purposive in Nature 19. Limit input from the media
46. Adduction 14. Concepts of Evolution 20. Forget your face
47. Theory Formation 15. More about Evolution 21. Give up sensuality
48. Theory Selection 16. The Self 22. On “sexual liberation”
49. Synthetic Logic 17. Some Topics in Deontology 23. Practice non-attachment
Part VI. Factorial Induction 18. More Topics in Deontology Part 4: Some Sitting Meditations
50. Actual Induction Appendixes 24. Time, place and posture
51. Elements and Compounds References 25. Observe the mechanisms of thought
52. Fractions and Integers   26. Stop unnecessary thinking
53. Factorial Analysis LOGICAL AND SPIRITUAL REFLECTIONS 27. Dealing with distractions
54. Modal Induction © Avi Sion, 2008. 28. Sitting forgetting
55. Factor Selection Abstract 29. Breath awareness
56. Applied Factor Selection Table of Contents 30. Being here and now
57. Formula Revision Chapters  31. With or without a self
58. Gross Formula Revision Part I - Logical Reflections 32. Whether mind or matter
59. Factorial Formula Revision Book 1.   Hume’s Problems with Induction 33. Already there
Part VII. Perspectives 1. Hume’s “problem of induction”  
60. Phenomena 2. The principle of induction LOGICAL AND SPIRITUAL REFLECTIONS
61. Consciousness and The Mind 3. Causation, necessity and connection © Avi Sion, 2008.
62. Perception and Recognition 4. The psychology of induction Abstract
63. Past Logic 5. The self or soul Table of Contents
64. Critique of Modern Logic 6. Freewill Chapters 
65. Developments in Tropology 7. The is-ought dichotomy Part II - Spiritual Reflections
66. Metalogic 8. Hempel's paradox of confirmation Book 4.  More Meditations
67. Inductive Logic 9. Goodman’s paradox of prediction 1. Go directly and keep going 
68. Future Logic 10. The induction of induction 2. Breath and thought awareness
References 11. Descartes’ mind-body dichotomy 3. Self awareness
Appendix: On Factorial Analysis 12. Some further remarks on causal logic 4. Meditation on the self
Introduction Book 2.  A Short Critique of Kant’s Unreason 5. Various remarks on meditation
1st segment of table (F1-F21) 1. Kant’s transcendental reality 6. Mental health
2nd segment of table (F22-F42) 2. The analytic-synthetic dichotomy 7. Behold the mind
3rd segment of table (F43-F63) 3. Theory of knowledge 8. The four foundations and the core practice
Suggested minimal reading 4. Experience, space and time 9. Transcending suffering and karma
  5. Kant’s “categories” 10. Behold the soul
PHENOMENOLOGY 6. Ratiocinations 11. The Buddhist no-soul theory
© Avi Sion, 2003.  7. How numbers arise 12. Buddhist historicity
Abstract 8. Geometrical logic 13. About Buddhist idolatry
Table of Contents Book 3.  In Defense of Aristotle’s Laws of Thought 14. Buddhist messianism
Figures 1-4 1. Logicians have to introspect 15. Assimilating Buddhism
Chapters 2. The primacy of the laws of thought Book 5.  Zen Judaism
1. What, Why and How 3. The ontological status of the laws

1. God and Creation

2. Organizing Principles 4. Fuzzy logic

2. Torah and faith

3. Experiences and Abstractions 5. Misrepresentation of Aristotle

3. Bible text and commentary

4. Conceptualization 6. Not on the geometrical model

4. Tradition vs. innovation

5. The Self 7. A poisonous brew

5. The rabbinical estate

6. Additional Topics 8. The game of one-upmanship

6. Judaic illogic

7. The Active Role of Logic 9. In Buddhist discourse

7. Jewish meditation

8. Epistemological Issues in Mathematics 10. Calling what is not a spade a spade

8. Enlightenment without idolatry

9. Theology Without Prejudice 11. Buddhist causation theory

9. Good people

References 12. A formal logic of change

10. A world of mercy

Appendices 13. Buddhist critique of change

11. Understanding injustice

1 - Using Meditation 14. Different strata of knowledge

12. Forgiveness

2 - Feelings of Emptiness 15. Impermanence

13. Actions and reactions

3 - Mental Projection 16. Buddhist denial of the soul

Appendix 1.  Round numbers in Torah statistics

  17. The status of sense perceptions

Appendix 2.  Prayer in uncertainty

RUMINATIONS 18. The status of dreams and daydreams Book 6.  No to Sodom
© Avi Sion, 2005. 19. The status of conceptions 1. Picking up the gauntlet
Abstract 20. The laws of thought in meditation 2. Homosexuals defined
Table of Contents 21. Reason and spirituality 3. Homosexual tendencies
Chapters   4. The biological role of sex
Part I: Logic Notes BUDDHIST ILLOGIC 5. Non-reproductive sex
1. About the Laws of Thought © Avi Sion, 2002. 6. Deviance and suffering
2. About Induction Abstract 7. Some probable causes
3. About Words Table of Contents 8. Changing rationalizations
4. About Formal Logic Chapters  9. It is freely chosen
5. About Paradoxes Foreword 10. Sensuality and perversion
6. About "Modern Logic" 1. The Tetralemma 11. Spiritual impurity
7. About Cognitive Development 2. Neither Real Nor Unreal 12. The essence of sodomy
8. About Causal Logic 3. Nagarjuna's Use of Dilemma 13. A social revolution
9. About Negation 4. The Subject-Predicate Relation 14. The defenders and promoters of homosexuality
Part II: More Logic Notes and Essays 5. Percepts and Concepts 15. Some legal issues
1. J.S. Mill's Methods 6. Motion and Rest 16. A call for recovery
2. Addenda to Judaic Logic 7. Causality 17. (ANNEX) The Rabbis must ban homosexuals from Judaism
3. Diagrams for Judaic Logic 8. Co-Dependence ADDENDA to the Reflections (2009)
4. Jewish Logic: A Brief History and Evaluation 9. Karmic Law Logic in Defense of Zionism (2009)
5. Islamic Logic 10. God and Creation The Chanukah Lights Miracle (2009)
6. Logical Aspects of Foucault's "Archeology" 11. Self or Soul  
7. Comments on 3 chapters of Foucault 12. Self-Knowledge The Thematic Compilations (2008-9)
8. Bolzano's Semantics Concepts Not 'Empty Logic', but Empty of Logic The Laws of Thought (Expanded 2014)
  Appendices The Self
Islamic 'Logic' 1. Fallacies in Nagarjuna's Work Ethics
About A Fortiori 2. Brief Glossary of Some Basic Concepts Theology (Expanded 2014)
© Avi Sion, 2013. Part III: Modern and Contemporary Authors

31. Various other commentaries


13. Moses Mielziner

32. A fortiori in various lexicons
Table of Contents 14. Adolf Schwarz 33. Conclusions and prospects
Foreword 15. Saul Lieberman APPENDICES
Chapters 16. Louis Jacobs

1. A fortiori discourse in the Jewish Bible

Part I: Formalities 17. Heinrich Guggenheimer 2. A fortiori discourse in the Mishna
1. The standard forms 18. Adin Steinsaltz 3. A fortiori discourse in the two Talmuds
2. More formalities 19. Jonathan Cohen 4. A fortiori discourse by Plato and Aristotle

3. Still more formalities

20. Michael Avraham 5. A fortiori discourse in other world literature
4. Apparently variant forms 21. Gabriel Abitbol 6. Logic in the Torah
5. Comparisons and correlations 22. Hyam Maccoby 7. Some logic topics of general interest
Part II: Ancient and Medieval History

23. Alexander Samely

Main References

6. A fortiori in Greece and Rome

24. Lenartowicz and Koszteyn  
7. A fortiori in the Talmud 25. Abraham, Gabbay and Schild THE LOGICIAN home page
8. In the Talmud, continued 26. Stefan Goltzberg BOOKSHOP
9. Post-Talmudic rabbis 27. Andrew Schumann SEARCH facility
10. A fortiori in the Christian Bible

28. Allen Wiseman

11. Islamic ‘logic’ 29. Yisrael Ury CONTACT e-mail
12. A fortiori in China and India 30. Hubert Marraud Copyright Notice

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