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Infinite possibility or finite possibility?

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One of the fun things I used to contemplate when I was not paying enough attention to the courses I was taking in college was the concept of infinity. And the concept of zero.

Mathematically speaking, you can't calculate either value - you can approach zero, and you can approach infinity, but you can't actually get to either one. In a universe of infinity, for example, is there anything that exists outside of that infinity? I would say, no, because by virtue of having an observer in the universe of infinity, you allow for measurement - something which infinity can't hold to, eg, inifinity by it's nature is innumerable.

So that brings me to zero. You can't have "zero quarters" because it's the lack of quarters you are describing - eg, there is a quarter out there, somewhere, you just don't have one. And, you can't have in hand, zero dollars - somewhere, there is a dollar, and the concept is there. It's not a measure of a dollar, if you have "zero dollars" it's a lack of dollars, that you are referring to, not zero.

Thus if you have a dollar, break it into pennies, and then cut the pennies into their smallest parts, you still have fractions of money...you can't arrive at zero money, b/c you have the atoms, protons, nuetrons, and electrons that made up that money, and then further on, you have the quarks, leptons, etc, that made up those atoms.

Where does this leave us? I don't know :) I should have studied more math...however, I'd be interested in your take. Is zero equivalent to infinity? If not, why not? And if they are equivalent, mathematically speaking, then why aren't they taught as such in schools? And if they aren't equivalent, two aspects of the same concept, then what's the flaw in my reasoning?