Math over centuries

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Math over centuries :

you can start out with a few rules like:

A point has only location.
A line has direction and length.
Two lines interesect at a point.

and so on, and then you see where that takes you. That's what Euclid
did, and ended up more or less inventing geometry. And that's what
other mathematicians have done over the centuries, inventing
arithmetic, and number theory, and calculus, and group theory, and so
on.

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