QUOTE (yano @ Feb 21 2008, 10:21 PM)

I've been thinking a lot about infinity lately, especially since I started Calculus this semester. Here's my idea or should I say theory about infinity:
It's not unlimited it's just too big of a number that it's impossible to represent with all known matter in the universe. Hence why we have infinity.
Disagree or agree, why or why not?
"1. In the context of a number system,
in which "infinity" would mean something one can treat like a number.
In this context, infinity does not exist.
2. In the context of a topological space,
in which "infinity" would mean something that certain sequences of numbers converge to.
In this context, infinity does exist.
3. In the context of measuring sizes of sets,
in which "infinity" means a measurement of the size of an infinite set.
In this context, such "infinity" concepts do exist but there are more than one of them, since not all infinite sets have the same size. So there does not exist any one single "infinity" concept; instead, there exists a whole collection of things called "infinite cardinal numbers." "
I believe this sums it up nicely. If you want more details, this is the
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