[BBKing]

Ooh - I remember this from a very old maths book I picked up in a second-hand bookshop in Cambridge - it seems that infinity * any real number = infinity, infinity+ any real number = infinity, infinity + infinity = infinity, but infinity ^ infinity is a bigger infinity than the one you started with. At which point my brain explodes.

Trivial fact - Tchaikovsky and Oscar Wilde were both gay men who married and even had children, in Wilde's case.