Mishna: An egg which is laid on Yom Tov: Beis Shammai: It may be eaten. Beis Hillel: It may not be eaten.
Gemara: The hen is standing to produce eggs and is not considered a food; it is thus muktzeh.
Challenge: If that’s the case, what is Beis Shammai’s reasoning? It is muktzeh!
Rav Nachman: Beis Shammai does not hold of either muktzeh or nolad and that is why they permit the egg laid by a muktzeh chicken.
Challenge: In Masichta Shabbos Rav Nachman in Shabbos inverted a Mishna to read that Beis Shammai is stringent with muktzeh while Beis Hillel is lenient, how can it be that here he explains the Mishna in the opposite way?
Resolution: [Rav Nachman wasn’t around anymore but he would have answered as follows]: In masichta Shabbos there is an anonymous Mishna [which always reflects the Halacha] which concurs with Rabbi Shimon’s lenient opinion:
Mishna: One may cut up pumpkins for an animal to eat [they are already disconnected from the ground, the tircha of cutting it up is what is being permitted], and the carcass of an animal [which died on Shabbos and wasn’t ‘prepared’, it is thus muktzeh] may be cut up for dogs on Shabbos.
Thus we rule like Rabbi Shimon with regard to Shabbos [and since the Halacha always follows Beis Hillel, we must say that in Shabbos Beis Hillel concurs with this opinion].
But with regard to Yom Tov there is an anonymous Mishna which concurs with Rabbi Yehuda’s stringent opinion:
Mishna: [It is permissible to chop wood on Yom Tov for firewood, but] one cannot chop beams which are prepared for building [and are muktzeh], nor can one chop a beam that came loose on Yom Tov.
Thus we rule like Rabbi Yehuda with regard to Yom Tov [and since the Halacha always follows Beis Hillel, we must say that in Yom Tov Beis Hillel concurs with this opinion].
Question: Let’s see, who decided to leave the Mishnayos anonymous? Rebbi, when he edited the Mishnayos. If so, why did he rule differently regarding Shabbos and Yom Tov?
They Answered: Shabbos is more severe in the minds of people and they won’t be careless because of a leniency, but Yom Tov is more lenient in people’s eyes [since they can cook] and if muktzeh were permitted, we are worried that people would become lax with the laws of Yom Tov.
Challenge: If the problem with this egg according to Beis Hillel is that it comes from a muktzeh hen, why are they arguing about the egg? Let them argue about the hen itself?
Resolution: To tell us that Beis Shammai permits even Nolad.
Challenge: Let them argue regarding the hen to teach us that Beis Hillel is stringent even regarding muktzeh?
In case you want to answer that we prefer to teach a leniency, still the Mishna could have easily taught both laws “Beis Shammai permit the chicken and its egg, while Beis Hillel forbid it”!