On Wed, Jun 27, 2018 at 10:39:20AM +0200, Bruno Marchal wrote:
> > His retort was that
> > integers weren't stuff - but I think that is somewhat of a lost in
> > translation moment. The French word etouffe
> 
> Etoffe. 
> 
> 
> 
> > basically means material,
> > and in English stuff used to mean the same, but in more recent times has
> > taken on a placeholder function, a generic collection of "things".
> >

My point about the lost in translation moment still pertains. My
grandmother used to admonish me for saying things like "... and all
that stuff", because for her, stuff meant material. Language has
changed. Colloqially, we can refer to integers, sets and stuff, and
clearly mean something along the lines of the rest of mathematics with
stuff. It is a very colloquial word, best avoided for precision :).

> 
> > 
> > One mystery does remain though - why don't we see things like Hilbert
> > hotel computers? It is a somewhat hidden assumption of
> > computationalism that such things don't exist.
> 
> Only 0, s(0), s(s(0) … are existing. You need an axiom of infinity to have a 
> Hilbert Hostel.
> 
> My axioms are only classical logic + Kxy = x and Sxyz = xz(yz).
> 

Yes - but Deutsch's point would be: why just those axioms, and not say
some kind of infinity axiom that allows Hilbert hotels?


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Dr Russell Standish                    Phone 0425 253119 (mobile)
Principal, High Performance Coders
Visiting Senior Research Fellow        hpco...@hpcoders.com.au
Economics, Kingston University         http://www.hpcoders.com.au
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