November 22, 2005

Mathematics

Recently I have been thinking about just how cool mathematics is, now, I know that most people at this point will think I'm a little crazy, but once you understand what mathematics is, you just can't help but be in awe of its overwhelming greatness.

You see, the problem is, that unlike every other subject out there, Mathematics doesn't live in the real world. Mathematics lives in a purely abstract, imaginary universe. When most people think of maths, usually after I've told them I'm on a maths degree, they think back to their GCSE days and think that maths is all about sizes of angle in triangles and solving quadratic equations, NOOOOO. This isn't what maths is about, Maths is about looking at the logical statements we have already made, and using them to deduce new ones. Group Theory, where my main interest in maths lie, is massively abstract, you work with objects that only exist because you write them down, but Group Theory also gives you the tools to say when one object equals another, and so you can then say which sectons of mathematics are equivalent.

Group Theory is just so good, it stems from four axioms, and with that a huge area of maths, if not maths itself, arises.

Anywho, just a quick rant, about maths, the only super-subject.


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