Page 12 - A Fortiori Logic: Innovations, History and Assessments
P. 12
6 AVI SION / A FORTIORI LOGIC
25. Abraham, Gabbay and Schild .............................................................................................. 448
1. Their opinion of past work .................................................................................................. 448
2. Their erroneous basic premise ............................................................................................. 450
3. Some errors of logic ............................................................................................................ 452
4. Mixing apples and oranges .................................................................................................. 455
5. Quid pro quo ........................................................................................................................ 460
26. Stefan Goltzberg .................................................................................................................. 463
1. Source of his definition ....................................................................................................... 463
2. Soundness of the argument .................................................................................................. 465
3. The dayo principle ............................................................................................................... 467
4. His “two-dimensional” theory ............................................................................................. 469
27. Andrew Schumann .............................................................................................................. 471
1. Interpretation of Baba Qama 25a ........................................................................................ 471
2. Syllogism as a fortiori ......................................................................................................... 475
3. Grandiosity without substance ............................................................................................ 478
4. Logic custom-made ............................................................................................................. 481
5. Not logic, but lunacy ........................................................................................................... 484
28. Allen Wiseman .................................................................................................................... 492
1. Definition and Moods .......................................................................................................... 492
2. Inductive a fortiori ............................................................................................................... 498
3. Abduction and conduction ................................................................................................... 503
4. Proportional a fortiori .......................................................................................................... 505
5. The dayo principle ............................................................................................................... 509
6. The scope of dayo ................................................................................................................ 514
7. Miriam and Aaron ............................................................................................................... 520
8. Summing up ........................................................................................................................ 523
29. Yisrael Ury .......................................................................................................................... 528
1. An ingenious idea ................................................................................................................ 528
2. Diagrams for a fortiori argument ......................................................................................... 530
3. No a crescendo or dayo ....................................................................................................... 535
4. Kol zeh achnis ..................................................................................................................... 538
30. Hubert Marraud ................................................................................................................... 544
1. Warrants and premises ........................................................................................................ 544
2. The main form of a fortiori .................................................................................................. 546
3. So-called meta-arguments ................................................................................................... 550
4. Paulo minor argument ......................................................................................................... 553
5. Legal a fortiori argument ..................................................................................................... 555
31. Various other commentaries ................................................................................................ 560
1. H. S. Hirschfeld ................................................................................................................... 560
2. H.W.B. Joseph ..................................................................................................................... 561
3. Moshe Ostrovsky ................................................................................................................. 561
4. Pierre André Lalande ........................................................................................................... 564
5. David Daube ........................................................................................................................ 565
6. Meir Zvi Bergman ............................................................................................................... 567
7. Strack and Stemberger ......................................................................................................... 569
8. Meir Brachfeld .................................................................................................................... 569
9. Gary G. Porton .................................................................................................................... 570
10. Mordechai Torczyner ...................................................................................................... 573
11. Ron Villanova .................................................................................................................. 574
12. Giovanni Sartor ............................................................................................................... 575
13. And others still ................................................................................................................ 576