Quote:
Originally posted by Lebell
If we represent infinity as "N", and call your hotel N1, we can call my hotel N2, to signify the increased holding power.
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While you can conceptualize a difference between N1 and N2, mathmatically there should be no effective difference. You are introducing a new dimension, not a new quantity.
To me, the best way to think of infinity is to plot x^(-1):
try it here:
http://people.hofstra.edu/staff/stev...Graf/Graf.html
Looking at the upper right quadrant, the line NEVER crosses the x-axis. So, Y is positive for x = [0 to +infinity} and y is negative for x= [0 to -infinity}...plug any number into it, and you'll see that this holds. Also, if you double that number, y is still of the same sign.
So, to me, infinity is perpetuity in a particular direciton (either positive or negative from a given starting point). And represents not just one, but all possible numbers in that direction.