On Mon, Oct 26, 2015 at 05:54:03PM +1100, Bruce Kellett wrote:
> On 26/10/2015 5:30 pm, Russell Standish wrote:
> >On Mon, Oct 26, 2015 at 05:08:21PM +1100, Bruce Kellett wrote:
> >>On 26/10/2015 5:01 pm, Russell Standish wrote:
> >>>On Mon, Oct 26, 2015 at 03:40:45PM +1100, Bruce Kellett wrote:
> >>>>I think Carroll's Paradox (or 'What the Tortoise Said to Achilles')
> >>>>effectively undermines computationalism, or any argument that
> >>>>arithmetic is prior to physics.
> >>>>
> >>>>See: https://en.wikipedia.org/wiki/What_the_Tortoise_Said_to_Achilles
> >>>>
> >>>>In order to escape the paradox, you have to resort to a formalist
> >>>>approach, and that renders the formalism devoid of semantic content.
> >>>>
> >>>I don't see why that undermines computationalism. Could you please expand?
> >>Modus ponens is only a formal manipulation of symbols, with no
> >>semantic content.
> >>
> >Are you trying to say that modus ponens is not valid of reality, hence
> >computionalism is false (but that's employing modus ponens, so you've
> >tied yourself up in a knot)?
> >
> >Or, are you trying to say that computationalism has no semantic
> >content because it is formal? That argument has already been run by
> >someone on this list - the trouble is the only semantics required are
> >internal to the system.
> 
> In which case, the 'semantics' have no bearing on our everyday
> experience. One can act on the basis of the weight of evidence
> without believing that modus ponens is truth-preserving.
> 


Assuming computationalism, our everyday experience _is_ internal to the
system. That doesn't make it any less meaningful.

Cheers

-- 

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Prof Russell Standish                  Phone 0425 253119 (mobile)
Principal, High Performance Coders
Visiting Professor of Mathematics      [email protected]
University of New South Wales          http://www.hpcoders.com.au
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