On Sat, Sep 27, 2014 at 8:29 AM, Russell Standish <[email protected]>
wrote:

> On Sat, Sep 27, 2014 at 05:33:00AM +0200, Platonist Guitar Cowboy wrote:
> > On Sat, Sep 27, 2014 at 3:39 AM, Russell Standish <[email protected]
> >
> > wrote:
> >
> > So I don't see: robust universe => all integers exist
>
> Nor do I. But then that is the exact inverse of what I stated: the
> arithmetic reality assumption in COMP entails a robust reality (one in
> which the UD runs to completion).
>

If I remember the thesis correctly, than robust is a placeholder for some
grandmother notion of physical reality, with enough consistency in
historical/spatial/causal relations to allow the UD to run. Once reversal
step is reached, the notion is dropped and isn't further needed.

Therefore I can't see bi-conditional implication or material implication
either way between the extravagant "for all practical purposes robust
assumption" and properties of arithmetic in terms of ultrafinite,
infinities etc. PGC

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