poke, I take "logic" and "reason" to mean making inferences by syllogism. I really have no idea what your usage of the terms denote, so I can't speak to it. I guess we were talking past each other. But I'm not so sure it's wise to draw a sharp distinction between "the foundations of the scientific method" and what at least some scientists spend a good deal of time actually doing, i.e., specific applications of mathematical techniques.

Frank McGahon, you're missing my point. Hint: reread my first sentence and my last sentence.