Date: Jun 11, 2013 1:18 PM
Author: LudovicoVan
Subject: Re: Matheology § 285
<mueckenh@rz.fh-augsburg.de> wrote in message

news:eacb74bf-1f4e-40d5-b760-a9ce6e69c090@googlegroups.com...

> Matheology § 285

>

> In this article, I argue that it is impossible to complete infinitely many

> tasks in a finite time. A key premise in my argument is that the only

> way to get to 0 tasks remaining is from 1 task remaining, when tasks

> are done 1-by-1. I suggest that the only way to deny this premise is

> by begging the question, that is, by assuming that supertasks are

> possible.

<snip>

Supertasks are mathematical constructs, and, unless shown that there is

something intrinsically incongruent in these constructions, they are

certainly "possible", and since after Zeno in use to model real-world

problems. Time is also irrelevant, it is impossible to complete infinitely

many tasks *effectively*: but we are using limits, i.e. where the

constructions allow limits to exist, we are not pretending that the process

is completed one step at a time, we are rather leveraging the structural

features that can be legitimately extended.

> JEREMY GWIAZDA

> Article first published online: 4 MAR 2012

> Pacific Philosophical Quarterly

> Volume 93, Issue 1, pages 1?7, March 2012

> <http://onlinelibrary.wiley.com/doi/10.1111/j.1468-0114.2011.01412.x/full>

>

> Therefore it is not possible to enumerate all rational numbers

> (always infinitely many remain) by all natural numbers (always

> infinitely many remain) or to traverse the lines of a Cantor list (always

> infinitely many remain).

It is not possible to do so effectively...

Julio