On Sun, May 29, 2011 9:56 am, Nicholas Leippe wrote: > That is extremely counter-intuitive to me. The way I've been looking > at it is by starting with the set of all natural numbers, yielding > cardinality X, then removing from that set any number that doesn't > belong in the other set (such as not prime, or not even, or not > fibonacci) until the resultant set is achieved--and it *seems* like > that would be fewer numbers and thus the cardinality would be less > than X.
Your first sentence hits the nail on the head. Infinity is EXTREMELY counter-intuitive. It's a very bizarre 'number', and it really is something that our minds aren't designed to comprehend. Intuition doesn't /work/ with infinity. -- Matthew Walker HAM Call Sign: N7TOX Kydance Hosting & Consulting, Inc. - http://www.kydance.net/ PHP, Perl, and Web Development - Linux Server Administration /* PLUG: http://plug.org, #utah on irc.freenode.net Unsubscribe: http://plug.org/mailman/options/plug Don't fear the penguin. */