This one gets me. Fired. UP. Okay. So, FP seems to not know who Betty is when Archie says Jughead is working with her on the school paper in episode seven of the first season, even going so far as to say, "Betty? Who is Betty? Is she your girlfriend?" Later, in season two, we find out FP and Alice were quite the item, and actually had a child together. FP never knew she had given birth to their son, but surely he knew about her non-secret children, Betty and Polly? The most likely scenario is the writers never pictured "Falice" to be such a hit, and at such an early stage wrote what was probably a natural question for a father to ask his son, but in retrospect it makes absolutely no sense.