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As a layperson, I don't know how you could represent infinite sets, unless you just pick a random, finite symbol.
by lawpoop 10y ago
As a layperson, I don't know how you could represent infinite sets, unless you just pick a random, finite symbol.
- jonsen 10y agoAny line segment, for example, is an infinite set of points.
- lawpoop 10y agoYes, as a mathematical object, that is true. But any symbol we render in the physical world is going to be finite. Drawing a straight mark and calling it an infinite set of points isn't really different from drawing a sideways 8 and calling it an infinite set. It's a symbol that represents something else.
- nkassis 10y agoCheck out the Riemann sphere https://en.wikipedia.org/wiki/Riemann_sphere https://en.wikipedia.org/wiki/Riemann_sphere I thought it was cool when I first saw it. Infinity in the complex plane is one of the poles.