[gowld]

I don't think that's right, or at least not so binary. The average person (and even highly rational people, when they are being informal) uses "logical" reasononing that is intuitive, not calculated, not so different fro "muscle memory" of shooting hoops. Even professional mathematicians, (in published papers!) sometimes make statements that "feel" correct even though they are disproven under scrutiny (and not due to small (but important) mistakes like getting a sign wrong in a calculation)