Logic

 personal anecdote

Back when I went to university, majoring in Computer Science, we had to take some courses in the humanities or social sciences departments, "to keep our minds from becoming too narrow".
One favorite was the "Logic" course offered by the Philosophy department.
It was astounding to see how people who are not of a mathematical bent had a really hard time with what seemed trivial to us.
For example, the teacher would say:
"Given that (1) Everything green sprouts flowers and (2) alligators are green, what conclusion can we draw?"
The class would explode "But that's not true! Only plants have flowers! My marker is green and will never flower!" and so on.
Or the teacher would say, "I told my son that if he behaved himself I would take him to the beach. He misbehaved, and we went to the beach. Did I lie?" and everyone would say "yes!" and "you're spoiling the brat!"
They could not detach from real-world knowledge and "sense" enough to view a statement as just an example of "All A are B" or "If p then q" and deal with it at an abstract level.

Needless to say, the few Natural Sciences and Engineering majors in the room had absolutely no difficulty going GIGO mode...

I'm not totally sure which mode of thinking is better, to be honest.

Guess my mind is completely engineer like then, when I see those examples the first thing that came to mind was "this premise is false" and "this goes only one way".
Good because I'm doing chem eng.