These are the matters about which Beis Hillel reversed themselves to [thenceforth] rule in accordance with the view of Beis Shammai. If a woman came from overseas and she said, “My husband died [overseas],” she may marry; “My hus-band died [overseas],” she may be taken in yibum. But Beis Hillel say: We have not heard [this tradition] ex-cept in a case where she comes from the grain harvest. Beis Shammai said to them: It is the same whether she comes from the harvest and it is the same whether she comes from the [harvest of] olives and it is the same whether she comes from overseas; [the Rabbis] spoke in [terms of] the harvest only [because that was the incident] as it happened. [And subsequently] Beis Hillel reversed [them-selves] to [thenceforth] rule in accordance with Beis Shammai. Beis Shammai say: She may remarry and col-lect her kesubah. But Beis Hillel say: She may remarry but she does not col-lect her kesubah. Beis Shammai said to them: [If] you have permitted the grave [matter of] ervah, shall you not [then certainly] permit the less grave [matter of] money? Beis Hillel said to them: We find that the brothers do not enter into [possession of] the estate on [the basis of] her testimony. Beis Shammai said to them: But we can learn [this ruling] from her kesubah docu-ment; for he writes to her that “If you marry another, you will take what is written to you.” [And] Beis Hillel reversed [them-selves] to [thenceforth] rule in accordance with the opinion of Beis Shammai.

One who is half slave and half a free man, works one day for his master and one day for himself, these are the words of Beis Hillel. Beis Shammai said to [Beis Hillel]: You have provided a solution for his master, but for [him] himself you have not pro-vided a solution! He is not able to marry a slavewoman, [and] he is not able [to mar-ry] a free woman. Shall he remain idle? But was not the world created only for propagation, as it is stated (Isaiah 45:18): He [God] did not create it [the world] to be desolate; He formed it to be inhabited? Rather, for the benefit of society, we force his master and he [must] make him a [com-pletely] free man, and [the slave must] write [him] a note for half his value. [Subsequently] Beis Hillel reversed [themselves] to [thenceforth] rule in accordance with [the view of] Beis Shammai.

An earthenware vessel protects all [substances from becoming tamei], according to the opinion of Beis Hillel. But Beis Shammai say: It protects only foods, liquids and earthenware vessels [from becoming tamei]. Beis Hillel said to [Beis Shammai]: Why? Beis Shammai said to them: Because it is tamei through the am haaretz, and a vessel which is tamei cannot interpose. Beis Hil-lel replied to Beis Shammai: But have you not de-clared tahor the foods and liquids that are in it?! Beis Shammai replied to them: When we declared tahor the foods and liquids that are in it, it was [only] in regard to [the am haaretz] himself that we declared [them] tahor. But if you will declare tahor the vessel, you will have declared it tahor [both] with regard to you [the chaver] and to him [the am haaretz]. And Beis Hillel reversed [themselves] to [thenceforth] rule in accordance with the opinion of Beis Shammai.

R' Chanina, administrator of the Kohanim testified [concerning] four matters: In all the days of the Kohanim, never did they re-frain from burning [sacrificial] meat that had been contaminated by a derived tumah together with [sacrificial] meat that had been contaminated by an av hatumah, although [by doing so] they added tumah to its tumah.  R' Akiva added: In all the days of the Kohanim, never did they refrain from lighting oil that had become disqualified through a tevul yom in a lamp that had been contaminated by one who was tamei from a corpse, although [by doing so] they increased its tumah.