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Mishna: A sukkah made (of schach) like a wigwam or a lean-to;
Rabbi Eliezer disqualifies it since it does not have a roof.
The Chachomim permit it.
Summary
Question: What is the Chachomim’s reasoning?
Answer: A sloping ohel is considered an ohel, they disregard the slope. Since the wigwam is large enough to contain a 7x7 sukkah with a height of 10 tefachim , it is considered a proper sukkah.
In the Mishna it seems that Rabbi Eliezer is machmir while the Chachomim are meikil. But actually it can come out the other way too: According to Rabbi Eliezer, a pointed roof is not considered a roof at all. Thus if someone sleeps under a pointed roof in a sukkah he is still considered to be sleeping in the sukkah (see 9.1). But according to the Chachomim, a sloping ohel is an ohel and one cannot sleep under a pointed roof in a sukkah.
Abayye saw Rav Yosef lying in a killas chassanim canopy bed [with a pointed roof].
Abayye: You’re forsaking the Chachomim and following Rabbi Eliezer?
Rav Yosef: In a beraisa their opinions are switched.
Abayye: You’re forsaking the Mishna and following a beraisa?
Rav Yosef: The mishna follows the opinion of an individual, as we see in the beraisa (the beraisa is identical to our mishna but it is said by an individual):
Rabbi Nosson (he was from Bavel and the Av Beis Din in Rebbe’s generation. In many cases he had a different version of the mishna than Rebbi): A sukkah made (of schach) like a wigwam or a lean-to;
Rabbi Eliezer disqualifies it since it does not have a roof.
The Chachomim permit it. This podcast has been graciously sponsored by JewishPodcasts.fm. There is much overhead to maintain this service so please help us continue our goal of helping Jewish lecturers become podcasters and support us with a donation: https://thechesedfund.com/jewishpodcasts/donate