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My think about it is this, Math is a language that allows formal declaration of relationships between different spaces. When I say space I mean any sized dimens
by mnky9800n 4y ago
My think about it is this, Math is a language that allows formal declaration of relationships between different spaces. When I say space I mean any sized dimensional system that has some regularity to it. So you can have scalar values like your age or descriptive values like the kind of things you might find collected from your Facebook page or maybe spatial things like where you are located or how your body is distributed about space. Math let's you say things like "X changes by A amount with respect to Y". It let's you define how the space exists and how it changes. It let's you transform the space from one domain to another. For example a picture is a collection of pixels with RGB values, but when you look at it you see a dog. It's likely there are bits and pieces of the picture that when taken together describe a dog that you could tell us a dog without the picture anymore (four legs, a tail, fur, etc).
I think, as a physicist and a scientist my view of what math is, is very data driven and concept oriented. Others probably have different ideas. I'm not even sure I like the description I've offered here haha. But I tried to keep it as simple as possible.
- arisbe__ 4y agoThe use of math in science comes with a larger emphasis on the semantic (sign-objects relations). Interestingly pure math and applied math both have an interpretation focus (pragmatics or sign-object-interpreter relations) in that elegance and "interestingness" tends to play a role. So I won't say pure math is only syntax but sometimes it get interpreted that way.