Page 11 - A Fortiori Logic: Innovations, History and Assessments
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AVI SION / A FORTIORI LOGIC 5
14. Adolf Schwarz ..................................................................................................................... 336
1. Equation to syllogism .......................................................................................................... 336
2. Jacobs’ critique .................................................................................................................... 337
3. Kunst’s critique ................................................................................................................... 338
4. Wiseman on Schwarz .......................................................................................................... 339
5. Why a fortiori is not syllogism ............................................................................................ 340
15. Saul Lieberman .................................................................................................................... 341
1. Hermogenes ......................................................................................................................... 341
2. Influences on rabbis ............................................................................................................. 343
3. Reassessment ....................................................................................................................... 345
4. Cicero .................................................................................................................................. 346
16. Louis Jacobs ........................................................................................................................ 349
1. The simple and complex types ............................................................................................ 349
2. Deficiencies in Jacobs’ forms .............................................................................................. 353
3. More comments on Jacobs’ work ........................................................................................ 357
4. A more recent contribution .................................................................................................. 362
17. Heinrich Guggenheimer ...................................................................................................... 371
1. Tout un programme ............................................................................................................. 371
2. Theory of a fortiori .............................................................................................................. 372
3. A faulty approach ................................................................................................................ 374
18. Adin Steinsaltz .................................................................................................................... 376
1. Qal vachomer and dayo ....................................................................................................... 376
2. A recurrent fallacy ............................................................................................................... 380
3. Lack of formalism ............................................................................................................... 386
19. Jonathan Cohen ................................................................................................................... 387
1. Formula for a fortiori ........................................................................................................... 387
2. Fallacy of diverse weights ................................................................................................... 388
3. No effort of validation ......................................................................................................... 389
20. Michael Avraham ................................................................................................................ 390
1. Model of a fortiori ............................................................................................................... 390
2. Outlook on a fortiori ............................................................................................................ 391
3. On Baba Qama 2:5 .............................................................................................................. 393
21. Gabriel Abitbol .................................................................................................................... 396
1. Name and functioning ......................................................................................................... 396
2. Tabular representation ......................................................................................................... 398
3. Treatment of dayo ............................................................................................................... 402
4. Refutations ........................................................................................................................... 407
5. Closing remarks ................................................................................................................... 409
22. Hyam Maccoby ................................................................................................................... 411
1. Purely a fortiori argument ................................................................................................... 411
2. A crescendo argument ......................................................................................................... 413
3. Baba Qama 25a ................................................................................................................... 414
4. Faulty qal vachomer ............................................................................................................ 417
23. Alexander Samely ............................................................................................................... 420
1. General definition ................................................................................................................ 420
2. Descriptive formula ............................................................................................................. 422
3. Three alleged techniques ..................................................................................................... 425
4. Bava Kamma 25a-b ............................................................................................................. 427
5. Samely’s online database .................................................................................................... 429
6. My critical researches .......................................................................................................... 430
24. Lenartowicz and Koszteyn .................................................................................................. 442
1. The form of the argument .................................................................................................... 442
2. The dayo principle ............................................................................................................... 442
3. Epistemic substitution ......................................................................................................... 444