December 20th, 2010 - Open Knowledge — LiveJournal
Dec. 20th, 2010
03:03 am - Lasting love
For unlike romance, which the stories tells us happens by chance, lasting love is something we can practice. It is an art that can be learnt. That does not leave us as victims of Cupid’s bow. If falling in love is found, the love that makes up most of your life is made.
03:07 am - Infinite sets
Within the logic of infinite sets, apparently larger infinite sets are actually the same size as seemingly smaller infinite sets. For example, the set of all natural numbers (1, 2, 3...) is the same size as the set of all even numbers (2, 4, 6...), though you might think it'd be twice the size, because the first natural number can be mapped onto the first even number, the second onto the second, and so on, to infinity, without any natural numbers left over.
I find this very hard to wrap my mind around, even though the logic seems sound.
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