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 

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