Quote:
Originally Posted by deanm
"Simple thought experiment; How many decimals lie between the integers 0 and 1? Answer, Infinity."
Agreed.
"Now how about between 0 and 2? Answer; 2 x infinity".
No, just infinity.
Infinity has no dimensions involving measures of time or space.
Dean.
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Well, like I said, I'm no mathematician, but I think you'll find Cantor's work did show that some infinities are bigger than others over 100 years ago. His proof was more involved, but the thought experiment is how I visualise it. I believe he was posthumously awarded some pretty lofty honours in the field of mathematics.