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But that would still have nothing to do with dayo. That would be a kal vachomer with a pircha in that the chamur has a tzad kal. This would be the same as for example the kal vachomer in kiddushin:
A wife can be acquired through biah and an amah ivriya cannot. So if an amah ivriyah can be aqcuired with kesef then surely a wife can be aqcuired with kesef. The Gemara shlugs it up because ama ivriya has a tzad chamur in that she can be released through kesef whereas a wife cannot be released thorough kesef. Now according to you that is not a pircha; it’s a dayo – you can only make the kal vachomer from ama ivriya to a case which is equal in that it can also be released with kesef. But to make the kal vachomer to a case which cannot be released with kesef is exceeding the mandate and is dayo. Then R’ Tarfon would come along and say that it’s a good kal vachomer because there is no case of a wife that can be released with kesef so this particular kal vachomer would be mufrach.