What about intuition? It's important in science, up to a point, where analytic thinking must take over. Cold As Heaven
I think the main difference being that I have never ever needed a reminder to use my intuition.
Yes, that's my point. We all use our intuition. What can be difficult is to know the limits of intuition. At some point analytic thinking must take over, otherwise it's a risk of drawing wrong conclusions. That's the case in science, at least >;)I agree that the list of rules is quite useful, both in science and life in general. In addition to science, you mention art and linguistics. I don't have any experience with linguistics, but I think art and science are similar in the sense that both challenge you r creativity. The main difference is that science is stricter. Creativity in science needs to stay within the limits set by the laws of physics (and chemistry and biology ... which are basically just applied physics; that's the arrogant physicist's view). Mathematics, however, is different ("God made the integers; the rest is Man's work"). Math is not really part of science (it's the scientist's toolbox). Math is a man-made construction. In principle, if you want to, you can construct your own mathematics. That's acceptable, but you have to stay with your axioms, and their consequences. There are matematicians who have done this before. Check out, for instance, Grassmann numbers, which turned out to be useful in quantum mechanics >:)
Linguistics is, in a large part, like the observational part of science. It can be both rather theoretical and rather hands on depending on how you work. Of course this is a simplication but one I think apt enough. I see maths as a language. It is manmade, used to communicate an idea, written with symbols, has a set of rules (grammar!). Once I explained it this way my math-blocked linguist friend started understanding maths.
Yes, math is indeed a language; it's the language of science. I know there are linguists using similar techniques, e.g. to make computer-based translators (unfortunately, the Babel fish exists only in Douglas Adams's books)