A contradiction between the Mishna in Mikvaot 10:6, which seems to be Rabbi Yehuda's position anrules according to majority, and Rabbi Yehuda in the braita, who follows appearance, is resolved in two ways. Abaye suggests that in the braita, where the position is stricter, Rabbi Yehuda is quoting Rabban Gamliel, who was known for his stringency in cases of nullification, as he did not allow nullification at all in mixtures of the same type (min b'mino). Rava, however, explains that the more lenient opinion in Mikvaot refers to a case where only the outside of the cup was impure. By Torah law, the mikveh waters need only pass over the rim, not fill the cup. Since the requirement to fill the cup is rabbinic, there is room for leniency.

Rabbi Elazar disagrees with Reish Lakish regarding pigul and notar that became mixed together. He holds that just as mitzvot do not nullify one another, prohibitions likewise do not nullify each other. This principle is based on Hillel, who would eat matza and maror together on Pesach to fulfill the commandment that they be eaten simultaneously. If mitzvot could nullify one another, the strong taste of the maror would cancel the taste of the matza, preventing fulfillment of the mitzva of eating matza in that manner.

Regarding min b'mino, a mixture of the same type, there is a dispute between Rabbi Yehuda and the rabbis as to whether it can be nullified. A similar debate appears in the Tosefta Taharot 5:3 between Rabbi Eliezer ben Yaakov and the rabbis in a case of a shard that absorbed urine: can it be purified by soaking or rinsing in urine?

In the Mishna, there is also a debate between Rabbi Eliezer and the rabbis concerning blood mixed with problematic blood. The question arises: does Rabbi Eliezer disagree in both cases - disqualified blood and dam hatamtzit (the blood that flows from inside the animal) - or only in the latter case? The Mishna explores various scenarios of blood mixtures and clarifies where Rabbi Eliezer and the rabbis differ.