People ask how many of a kind of thing there are; the thing might be a kind of number, or something like a number. I, together with others, work out how many of those things there are by understanding the way some kinds of spaces look; these spaces are, in a way, the same as the things about which we ask, “how many,” but in another way they are different. This allows us to use different ideas when we think about them, and answer some questions about numbers which could not be answered before.
(inspired by xkcd, natch.)
Quomodocumque 
Obviously your next mission is to take the top thousand words from your mathematical writing and try to make a post about baseball with them.
baseball is not a proper sport; it is not invariant under base change.
Obviously one needs to stabilize it first.
A similar task (from D.Hofstadter, _Le Ton Beau de Marot_, p.302):
[…] And it was old One Stone, too, who first guessed and then showed
that the Pull Down on all things — the Pull that gives us weight,
the Pull toward the ground that we feel at all times — is not a
true pull at all, but what is known as a “fake pull” — the same
kind of pull as pulls things from the hub toward the rim of a
wheel that spins. Such pulls are called “fake” since they all
go up in smoke when you make a shift in what you deem to be “at rest”. […]
Spoiler (Notes, p.584):
It was Albert Einstein who first guessed and then demonstrated
that gravity is a “fictitious force”, similar in ways to
centrifugal force. Such forces are called “fictitious” since
it is possible to find a frame of reference in which they
completely vanish. […]
[Yes, monosyllabic “toward” is a bit of a cheat.]
Hi: I’m looking for the source from which this delightful piece was confected:
QUOTE: I think the ‘idea’ in a work of art is often of the form ‘some things not already known to be like one another are like one another.’ :UNQUOTE etc
It looks as though both that quote in its extended form) and the original it represents would be very useful in some work I”m up to…
Many thanks IA
It’s from Peli Grietzer’s blog:
http://secondbalcony.tumblr.com/post/40856159215/up-goer-game
and is a upgoerization of
http://secondbalcony.tumblr.com/post/31397653735/project
if I understand correctly.
Thanks!
At first, I thought this was from here: http://www.reddit.com/r/explainlikeimfive