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Contrary to popular opinion, infinity is not an actual number, it is the concept of a number. A true number can never be infinite, because a true number has a defined value, and as soon at is defined it is finite, it does not extend past all other possible numbers. When dealing with infinity the word is often used to mean the concept of forever, but in math, the best way of representing it in an equation, to obtain a meaningful result one must use limits.
lim x-> infinity, and then use x where you want infinity to be. You treat x as a number that approaches infinity; due to not being a number itself, infinity can not actually be reached, but “approaching” means “if it ever did reach that illustrious number, this would be it”. A very handy concept, one used frequently in math.
This is how human beings understand the infinite, limits, approaching. Comprehending the endless of forever, or the hieght of a tower that doesn’t have a ceiling, we can not do this, so we imagine something growing, something that’s getting to be big, but not quite there.
Or at least, that’s how our mind’s understand it, through guessing, projecting, abstraction. One year ago today, I finally understood it on an entirely visceral level; welcome to eternity Hobbes. One year ago I felt the weight of an infinite life and it was beautiful. Today I know the meaning of forever: it starts with one year, and never stops growing.
A year ago Annie became mine, and I became hers: welcome to eternity.
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Rather than argue/correct your limited (no pun intended, honest) view of a mathematical infinity, I'll just say congrats.
Posts: 6213 | Registered: May 2001
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Math geeks of the world, unite and take over!!!!
Congrats, Hobbes and Annie. Is today your official anniversary?
And I wasn't online on Fahim's and my anniversary. Can I steal a little of your thunder? We celebrated one year on August 15th, and no one's chopped up in little bits in the freezer yet. We survived!!
Posts: 8355 | Registered: Apr 2003
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Papa Moose, I would be very interested in you definition of infinity... Time for a new thread, methinks.
Posts: 4393 | Registered: Aug 2003
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