In article <511D0025.FD5B3D49@btinternet.com>, Frederick Williams <email@example.com> writes: >Craig Feinstein wrote:
>> Let's say I have a drawer of an infinite number of [...] >> >> How does modern mathematics resolve this paradox? > >A few years ago Zdislav V. Kovarik made a post listing a dozen or more >meaning of the word "infinity" as used in different branches of >mathematics. I'm hoping that he won't mind me reposting it: > > >There is a long list of "infinities (with no claim to exhaustiveness): > infinity of the one-point compactification of N,
> infinity in the theory of convex optimization, > etc.; > > each of these has a clear definition and a set of well-defined rules > for handling it. > > And the winner is... > the really, really real infinity imagined by inexperienced debaters of > foundations of mathematics; this one has the advantage that it need > not be defined ("it's just there, don't you see?") and the user can > switch from one set of rules to another, without warning, and without > worrying about consistency, for the purpose of scoring points in idle > and uneducated (at least on one side) debates.
Bravo! Author! Author!
-- Michael F. Stemper #include <Standard_Disclaimer> A preposition is something that you should never end a sentence with.