As beauty resides in the beholder's eye, so logic belongs to whoever defines its terms.
Your reasons are not mine.
Hence the difficulty of persuading by "reasoned argument."
Logic is a game of mathematics. Follow its rules and there is no escape. The conclusion arises from the premise.
Ventilate the game with reality -- which includes such messy things as passion -- and all changes. Surprising information appears and certainty is shaken beyond its foundation.
Not to worry -- it is all argy-bargy in the end.