Page 7 - Judaic Logic
P. 7
Contents
1. INTRODUCTION. .......................................................................................................... 5
1. The Development of Jewish Law. ............................................................................. 5
2. A Logic Primer. ......................................................................................................... 9
a. Some propositional forms and their interrelations. ............................................. 10
b. Inductive logic. .................................................................................................... 14
c. Deductive logic. ................................................................................................... 16
2. ADDUCTIVE LOGIC IN THE TORAH. ................................................................... 23
1. The Art of Knowing. ............................................................................................... 23
2. Adduction in Western Philosophy. .......................................................................... 25
3. Adducing Prophecies and Prophethood. .................................................................. 27
4. Logic and Mysticism. .............................................................................................. 31
3. THE FORMALITIES OF A-FORTIORI LOGIC. ................................................... 36
1. The Valid Moods. .................................................................................................... 36
a. Subjectal moods. .................................................................................................. 37
b. Predicatal moods. ................................................................................................. 37
c. Antecedental moods. ........................................................................................... 39
d. Consequental moods. ........................................................................................... 39
2. Validation Procedures. ............................................................................................. 41
3. Additional Details. ................................................................................................... 47
4. QAL VACHOMER. ........................................................................................................ 55
1. Background. ............................................................................................................. 55
2. Samples in the Torah. .............................................................................................. 58
3. The Dayo Principle. ................................................................................................. 64
4. Objections! ............................................................................................................... 66
5. Rabbinic Formulations. ........................................................................................... 70
5. REVISED LIST OF BIBLICAL A-FORTIORI. ........................................................ 73
1. Problems Encountered. ............................................................................................ 73
2. The Solution Found. ................................................................................................ 74
3. The Data and their Analysis. ................................................................................... 76
4. Synthesis of Results. ................................................................................................ 80
5. Talmudic/Rabbinic A-Fortiori. ................................................................................ 82
6. THE LANGUAGE OF BIBLICAL A-FORTIORI. ................................................... 85
1. Torah Books. ........................................................................................................... 85
2. Historical Books. ..................................................................................................... 87
3. Other Books. ............................................................................................................ 91
4. Rejects. .................................................................................................................... 96
7. WITHOUT PREJUDICE. ............................................................................................ 98
1. Taking a Dilemma by its Horns. .............................................................................. 98
a. For the religious. .................................................................................................. 99
b. For the secular. .................................................................................................. 100
2. About Revision. ..................................................................................................... 102
3. Changes in the Law. .............................................................................................. 107