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Does Infinity exist?
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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What's easier to believe: that a guy was born without sex in the manner of several Greek demigods and grew up to be able to transmute liquids and alter his body density yet couldn't escape government execution, or that three freemasons in a vehicle made with aluminum foil in an era before digital technology escaped our atmosphere, landing on the moon, broadcasted from there, and then flew back without burning up?
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