[937] in Professors_Quote_Board
Prof. Munkres (18.901)
ryanb@ATHENA.MIT.EDU (ryanb@ATHENA.MIT.EDU)
Tue Feb 21 15:53:00 1995
Every once in a while there's a free spirit, like a planet, who moves around,
but most students are fixed stars.
Anything worth doing n times is worth doing infinitely many times.
If you have an infinite collection of pairs of shoes, you don't need the
choice axiom: you can just take the _left_ shoe of each pair. If you have
an infinite collection of pairs of _socks_, you're stuck. People boggled at
this. What's the difference between shoes and socks? Well, since you can't
have any infinite collection in real life, I don't see that there is a
difference.
I think of open sets as lumps, like in bad gravy which my father used to make
while my mother was away.
If a were equal to b, there'd be only one point in there, and there's no
point in that.
