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.