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1)

(a) Rav Yehudah explains, that according to Rebbi Yehudah, one is forbidden to kindle the Yom-Tov lights with vessels that broke on Yom-Tov, with date-pits and with nut-shells.
Why did he find it necessary to specify all three?

(b) What does Rebbi Shimon hold in these three cases, and what is the basis of their Machlokes?

(a) It was Rebbi Chiya, Rav's uncle, who told Rav that, on Yom-Tov, it was forbidden to throw date-Pits into the oven because they were Muktzah. After Rav arrived in Bavel, he threw date-pits to the animals on Yom-Tov. Does this mean that he did not accept his uncle's opinion?

(b) If one may light a fire with vessels, but not with vessels that broke on Yom-Tov, how is it possible to maintain the fire, since, once it has been lit, one is no longer permitted to stoke it.

(a) Rav Hamnuna has a third way of explaining the Machlokes between Rebbi Eliezer and Rebbi Akiva in our Mishnah (whether a folded garment garment is Tamei or not). According to him, we are speaking about 'Kulei Matlaniyos' which are less than three by three Tefachim.
What do the Tana'im hold by such a cloth which the owner threw away?

(b) What do they hold in a case when he put it in a box?

(c) Rebbi Yehoshua (like whom Rebbi Akiva in our Mishnah follows) and Rebbi Eliezer argue when he hung it on a peg or threw it behind the door. What is their Machlokes?

(d) Why does Rebbi Eliezer refer to this as 'not designated' and Rebbi Yehoshua, 'designated' (considering that halachically, Rebbi Eliezer considers it 'designated', and Rebbi Yehoshua, 'not designated')?

4)

(a) Before he retracted, how did Rebbi Akiva (who made a sort of compromise between his two Rebbes) initially explain 'min ha'Muchan' and 'she'Lo min ha'Muchan'?

(b) The Gemara concludes that Rebbi Akiva in our Mishnah retracted to hold like Rebbi Yehoshua, and it derives this from the words 'Pesilas ha'Beged'.
How does the Gemara deduce that from there?

(a) Why should one not make a hole in an egg-shell, fill it with oil, and place it above the lamp, for the oil to drip into the lamp on Shabbos?

(b) What is the Chidush of 'va'Afilu Hi shel Cheres'?

(c) Why does Rebbi Yehudah permit it?

(d) Why is it permitted, if the lamp was initially manufactured like that?

(e) Does the egg-shell necessarily need to have been fixed there by the manufacturer to be permitted?

(a) Why is it necessary for the Mishnah to add the case where the dish containing the oil is placed *beside* the lamp, and not *above* it?

(b) According to the Chachamim of Rebbi Yehudah, why did Rebbi Tarfon and the Chachamim not object when they brought an egg-shell up to the attic of Beis Nitzeh and arranged precisely in the way that they (the Chachamim of Rebbi Yehudah) prohibit?

(c) What did Rebbi Yitzchak ben Elazar say to Avin from Tzipori, when he dragged a bench across a marble floor?

(d) Why should this be Asur, even across a floor that is made of marble?

(a) According to Rebbi Yirmiyah Rabbah, even Rebbi Shimon only permits one to drag a *heavy* bench across the floor, but not a *light* one. Ula maintains that, on the contrary, by a heavy bench, even Rebbi Yehudah agrees that it is permitted, and their argument is confined to a light bench.
What is the difference between a heavy bench and a light one, and what are the two ways of learning the Machlokes between Rebbi Shimon and Rebbi Yehudah?

(b) 'Rebbi Shimon Omer, Gorer Adam Mitah, Kisei ve'Safsal, u'Vileved she'Lo Yiskaven La'asos Charitz'.
Why is there a Kashya from this Beraisa on both Rebbi Yirniyah Rabba and on Ula?

(c) How do Rebbi Yirmiyah Rabbah and Ula respectively, learn the Beraisa to answer the Kashya?

(d) How does the Gemara prove Rebbe Yirmiyah Rabbah wrong from the Mishnah in Kil'ayim, where the suit-vendors are permitted to wear the Sha'atnez suit to show the potential purchasers how it looks?

(e) What is the alternative method of displaying the suit?

(a) If, according to the Tana Kama, someone is Patur for extinguishing a lamp out of fear of being seen by gentiles, or robbers, because he is possessed by an evil spirit, or to enable a sick person to sleep, then when will he be Chayav?

(b) What does the Tana mean when he writes 'frightened of gentiles'?

(c) What is the only case that Rebbi Yossi renders him Chayav for extinguishing a light, and why is that?