Daf Yomi - Beitza 2 - Common Link

The Mishna cites various disputes between Bais Shammai and Bais Hillel.

Regarding an egg that was laid on Yom Tov, Bais Shammai rules that one can eat it on Yom Tov, whereas Bais Hillel maintains that it is forbidden to eat it on Yom Tov. Bais Shammai maintains that one is in violation of seeing chametz on Pesach when he sees chametz the size of a large date and Bais Hillel maintains that one will be liable even if he sees chametz that is the size of an olive. Bais Shammai maintains that if one slaughtered a deer or a bird on Yom Tov, he is allowed to dig with a shovel in order to obtain dirt which is necessary to fulfill the mitzvah of covering the blood of a slaughtered bird or wild animal. Bais Hillel, however, maintains that one should only slaughter on Yom Tov if he has prepared dirt prior to Yom Tov. Rashi and Tosfos both point out that these three disputes regarding Yom Tov have a common theme and that is that Bais Shammai rules leniently and Bais Hillel rules stringently.

The Shita Mikubetzes writes that this Tanna was referring specifically to the festival of Pesach and for this reason he cites a dispute regarding chametz on Pesach.

The Chasam Sofer explains that the discussion in the Gemara regarding the measurement of chametz, besides pertaining to the prohibition of seeing chametz on Pesach, is also relevant to the halachos pertaining to Yom Tov. If one would find chametz on the seventh day of Pesach that is less than the size of a large date, according to Bais Shammai he would not be required to destroy it on Yom Tov because it is less than the required amount of chametz that one would need to see in order to violate the prohibition of seeing chametz on Pesach. According to Bais Hillel, however, he would be obligated to destroy the chametz on Yom Tov.