Date: Feb 15, 2013 1:16 PM
Author: Michael Stemper
Subject: Re: infinity can't exist
In article <511D0025.FD5B3D49@btinternet.com>, Frederick Williams <freddywilliams@btinternet.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,

[snip]

> 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.