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Q&A: Non-Transitive Loops

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Non-Transitive Loops

Question

Hello.
1. I would be happy to get references to a few Talmudic passages that deal with this topic.
2. As I understand it, your fifth book on Talmudic logic deals with this. Is it in Hebrew?
3. Has your article:
Loops in Talmudic Logic, with Application to Odd and Even Loops in Argumentation
also appeared in Hebrew?
 
Thank you very much!
Ze’ev Sorek

Answer

2. Yes.
3. No.

  1. Tosafot, Bava Metzia 33a, on returning the lost item of one’s father and one’s rabbi. Or Sameach, part 1, after the laws of Hanukkah. Zevachim 90b and in Tosafot beginning with “Sin-offering” there (and in Tzon Kodashim there). Magen Avraham, sec. 211, subsec. 13, and Chatam Sofer there, and likewise Panim Me’irot, part 3, sec. 38. Kovetz Shiurim on Bava Batra, sec. 78. An article by David Kagan, Higgayon 1, p. 23. Kovetz He’arot, sec. 14, letter 5. Meir Barali, HaMa’ayan 51:2. And many more.

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