we just wing it and call it logic in hindsight.
That's what we do best anyway; using our brains for what they're doing anyway : inducing, abducing... and calling it deducing all the same.
We lie to ourselves about this too. Rationalization is a very natural activity.
It takes a lot of discipline to narrow down the error margins on human logic. Many are incapable of it, and most of those aren't aware that it is so.
So, logically, logic is to be distrusted, especially coming from the other guy.

Sorry, just a hobby horse of mine. You've been practicing controlled response, haven't you? It's appreciated