1)HALACHAH 3: WHERE SHOULD TAMEI KODESHIM BE BURNT
(a)(Beis Shamai): All meat is burned within, even if it became Tamei outside, except for that which was Tamei by an Av ha'Tumah which is burned outside.
(b)(Beis Hillel): All is burned outside except that which was Tamei by a Velad ha'Tumah which is found and burned inside (two leniencies).
(c)(R. Eliezer): All Av ha'Tumah is burned outside while all Velad ha'Tumah is burned inside.
(d)(R. Akiva): Everything is burned where it became Tamei.
2)WHAT DEFINES AV AND VLAD HATUMAH
(a)(Bar Kaparah): Av ha'Tumah is mid'Oraisa and Velad ha'Tumah is Mi'd'Rabanan.
(b)(R. Yochanan): Both are mid'Oraisa.
(c)Question: According to R. Yochanan, why does Beis Shamai permit bringing the Vlad HaTumah meat inside?!
(d)Question: Further, why does Beis Hillel permit keeping the Vlad HaTumah meat inside?!
(e)These above remain unanswered.
(f)Question: According to Bar Kaparah, Beis Shamai should permit bringing Av HaTumah meat inside, just as it is permitted to leave it within if it became Tamei there.
(g)Answer: Beis Shamai agrees with R. Akiva (and Vlad is permitted to be brought within since it is d'Rabanan).
(h)Question: According to Bar Kaparah, Beis Hillel should permit bringing the Vlad within!?
(i)Answer: They hold like R. Shimon (regarding making a Gezeirah to equate d'Rabanan and d'Oreisa Tumah).
3)HALACHAH 4: PLACING THE PARTS OF THE ANIMALS; HEKDESH NOWADAYS
(a)The parts of the Tamid are placed on the western side of the lower half of the ramp
(b)The parts of the Musafin are on the eastern side.
(c)The parts of Rosh Chodesh Musaf are above them on the Karkov.
(d)Shekalim and Bikurim are not practiced without a Mikdash.
(e)Ma'aser (grain and animals) and firstborn are practiced.
(f)One who is Makdish Shekalim and Bikurim creates Hekdesh.
(g)(R. Shimon): Bikurin cannot be designated without Mikdash.
(a)The Karkov was located where the Kohanim would walk.
5)PRECEDENCE BETWEEN THE MUSAF OF SHABBOS AND ROSH CHODESH
(a)Question: Which is brought first, the Musaf of Rosh Chodesh or Shabbos?
(b)Answer: Rosh Chodesh, based on the Shirah, where the Rosh Chodesh was sung first.
(c)(R. Yosah): Shirah is not applicable since it was sung first to avoid the people's confusion.
(d)Rather, the principle of the more regular taking precedence is applicable here, and the Shabbos is offered first.
6)MAKING KEDUSHAH WITHOUT A MIKDASH
(a)Question: May we infer that R. Shimon holds that Shekalim may be designated (since he only precluded Bikurim (3.g. above)?
(b)Answer: (R. Shimon b. Yehudah) R. Shimon holds that Shekalim would also not become Kadosh (unlike the inference from our Mishnah).
(c)A convert must designate the funds for his Korbanos (even as he cannot bring them without a Mikdash).
(d)(R. Shimon): R. Yochanan b. Zakai annulled that designation because of an impediment.
(e)Question: What was the impediment?
(f)Answer: No Hekdesh can be made for fear of Me'ilah.
(g)Any Hekdesh (money or animals) designated must be destroyed.
(h)We can prove from the above that even after R. Yochanan b. Zakai eliminated the designation, it still is binding.
(i)Question: We said that the convert who designates his Kinin creates Kedushah (and the money must be destroyed), yet the Beraisa teaches that designated Shekalim are not Kadosh!?
(j)Answer: The Shekalim are tied to Mikdash, and there is no guarantee that they will ever be usable; whereas money set aside for Korbanos will, sooner or later, be usable.
(k)(R. Hamnuna and R. Ada b. Ahavah citing Rav): The Halachah is like R. Shimon (of our Mishnah, that Bikurim do not become Kadosh, but coins of Shekalim or the Korban ha'Ger do become Kadosh).
HADRAN ALACH KOL HAROKIN USLIKA LA MASECHTA D'SHEKALIM!