Yevamot 45: Was Rav a Bigot? (God forbid, of course)

Cases a union between a non-Jewish father and a Jewish mother - what are the implications for the children (or are there any)? Rav takes a strong position that is indeed the halakhah - that the children are "kosher." Plus, the talmudic equivalent of a camel dancing on the head of the proverbial pin - meaning, thr law has to be upheld to be trusted. Also, other ramifications for the kosher progeny of a Jewish mother and non-Jewish father.