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1)

(a) The Tana Kama of our Mishnah writes that Beis Shamai and Beis Hillel argue even by a Mavoy whose entrance is less than four Amos wide. Rebbi Akiva, commenting on a Talmid quoting Rebbi Yishmael (who differentiates between an entrance which is four Amos wide, and one which is less), says that they argue in both cases.
Is Rebbi Akiva not repeating the opinion of the Tana Kama?

(b) Since Rebbi Akiva disagrees with that Talmid, why then, does he rule like him?

(c) What was the name of that Talmid?

(a) How do we reconcile Rav Yehudah Amar Rav, who quotes Rebbi Meir as having first learned by Rebbi Akiva and then by Rebbi Yishmael, with the Beraisa, which reverses the order?

(b) There is also a discrepancy as to which of his two Rebbes permitted adding vitriol to the ink that Rebbi Meir (who was a Sofer) used to use to write a Sefer-Torah, and which one forbade it.
Does the Gemara solve this problem?

(a) What did Rebbi Yishmael mean, when he instructed Rebbi Meir to be careful ...

1. ... not to (inadvertently) omit one single letter?
2. ... not to add one?

(b) What did Rebbi Akiva mean when he replied that he added vitriol to his ink? What has that to do with Rebbi Yishmael's instructions?

(c) Why did Rebbi Yishmael nevertheless forbid it?

(a) Rebbi Yehudah quotes Rebbi Meir as permitting vitriol in ink, with the exception of Parshas Sotah - even in a Sefer-Torah.
How does Rebbi Ya'akov quote Rebbi Meir?

(b) What is the basis of their Machlokes?

(c) Why might the Tana Kama of the Beraisa, who forbids using a Megilas Sotah written on behalf of Rachel, for Leah, concede that one may use a Megilah cut from a Sefer-Torah?

(d) And why might Rebbi Acha bar Yashiyah, who forbids the use of a Megilah cut from a Sefer-Torah for a Sotah, concede that one may use a Megilas Sotah written on behalf of Rachel, for Leah?

6)

(a) Since there was no-one in Rebbi Meir's generation as great as he, why is the Halachah not generally like him?

(b) If Rebbi Meir's real name was Rebbi Nehora'i, why was he known as Rebbi Meir?

(c) What were his other two names?

(d) What gave Rebbi the edge over his contemporaries? Which Pasuk in Yeshayah is the source for this?

(a) Who was Sumchus, and what was he able to do?

(b) What was that veteran Talmid in Yavneh able to do?

(c) Ravina tried to prove that a Sheretz is Tahor.
What Kal va'Chomer did he make?

(d) On what grounds was his Kal va'Chomer refuted?

(a) How long did the dispute like who to fix the Halachah, like Beis Hillel or Beis Shamai, last?

(b) Seeing as Beis Shamai were equal to Beis Hillel in knowledge, and their arguments equally convincing, why was the Halachah fixed like Beis Hillel?

(c) What does the Gemara prove ir Machlokes concerning the minimum size of a Sucah?

(d) What aspect of Beis Hillel's greatness can we derive ir Machlokes with regard to how one recites the Shema?

(a) Which three things does the Gemara learn ultimate decision to rule like Beis Hillel?

(b) For two and a half years Beis Shamai and Beis Hillel argued over whether it is better for a person to have been born or not.
What was the outcome of this dispute?

(c) What is the difference between 'Yefashfesh be'Ma'asav' and 'Yemashmesh be'Ma'asav'?

(a) The Koreh with which one rectifies a Mavoy must be wide enough to hold an 'Ari'ach'.
What is an 'Ari'ach'?

(b) What does Rebbi Yehudah say about the strength of the Koreh?

(c) Does it matter if the Koreh is made of straw, or is bent or round?

(d) How does one gauge the width of a round Koreh?