In the Mishna on today’s daf Rabbi Meir attempts to derive a halakha about the ritual status of a tereifa – an animal that had an injury that would cause its death – that was discovered after being killed by means of melika (see above, daf 64), by means of a kal va-ḥomer (usually translated as an a fortiori argument) from ordinary kosher slaughter. Rabbi Yosei objects, claiming that the kal va-ḥomer would not extend to the case of melika, which is an extrapolation beyond the parallel case of sheḥita.
Limiting the conclusions that can be reached by means of a kal va-ḥomer in this manner is called dayyo – “it is sufficient.” It is enough to learn a parallel halakha from a kal va-ḥomer, but not more than the original law itself.
The Gemara quotes a baraita that explains that the concept of kal va-ḥomer – and dayyo – are biblical in origin. They stem from the story of Miriam who spoke inappropriately about her brother Moshe (see Bamidbar 12). As punishment, she was struck with tzara’at (biblical leprosy), and was forced to leave the encampment for seven days. The Torah explains that had her father banished her, surely she would have been embarrassed for seven days – now that she was banished by God, she will have to be removed for that length of time. Although logically banishment because of God’s anger should have lasted 14 days, dayyo limits the punishment to the same amount of time that she would have been embarrassed by her father.
One question raised by the rishonim is why logic would lead us to conclude that Miriam should have been banished for 14 days. Why not 8 days? Or forever?
Rabbeinu Tam is quoted as connecting this with the idea that there are three partners in the creation of a person – his mother, his father and God. Thus God is the equivalent of both mother and father and offense against Him deserves double banishment.
Rabbeinu Ḥayyim HaCohen suggests that Miriam deserved just a little extra banishment, but the minimum time that someone suffering from tzara’at is banished is a week, so any additional banishment must be for a full extra week.
The Ramban argues that no explanation is necessary, since this is merely the way the midrash halakha speaks; that since she deserves more the expression is that she needs twice as much.