Quote:
Originally posted by Meridae'n
I have been having an argument with a mate lately on the matter of defining what exactly infinity is. I believe it is one of the following possibilities:
1) A number so large it cannot be defined.
2) An expression so large it cannot be defined.
3) A term encompassing all space and time (completely devoid of any numeric value).
I believe that answer 3) is the correct. A common example used in our argument is the half-distance paradox. If I walk halfway to point 'A', and half that distance, and half that distance, etc.... I believe I will eventually make it if I take an infinite number of steps. 1/2^n = zero in my books. I reasoned that the only way this is possible is if infinity can be defined as 3).
What do you guys think? Remember to think in 11-dimensional terms...
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sounds like an argument i had with a friend of mine a while ago in a math class, infinity does exist, the definitions of it as all-encompassing are totally acurate, there is no boundary, but it's the definition of the concept by humans that consolidates the impossibility of infinity into a useable idea.