On 17 Jul 2014, at 14:42, Richard Ruquist wrote:

Computationalism is necessarily consistent,

I am not sure we can know that, at least in any reasonably justifiable way.



but may not be complete except in nearly infinite domains.

It is incomplete with respect to arithmetical truth, and all geographical and historical (including the futures) truth, but it has to be complete, amazingly enough, on the physical truth, or if you prefer on the core non-geographical truth. Those are the same for all machine (and even a lot of non-machine) observer and is supposed to give the measure defined (or not) on the "computations seen from the 1p view". I could add nuances, but that would be quickly very technical. "complete" can take different senses, even in mathematical logic alone, and it is harder to define with respect to "reality" or "god" or "everything" or "whatever".

Bruno




Richard


On Thu, Jul 17, 2014 at 2:56 AM, Bruno Marchal <marc...@ulb.ac.be> wrote:

On 16 Jul 2014, at 20:43, John Clark wrote:

On Wed, Jul 16, 2014 at 1:07 PM, Bruno Marchal <marc...@ulb.ac.be> wrote:

>> John Clark is NOT a "comp" believer.

> This contradicts the fact that you are OK with step 0, and step 1, and step 2.

I'm not surprised. I've long ago forgotten what those steps were

This might explains your difficulty.



but I do know that If one starts with any contradictory concept, such as "comp" for example,


Computationalism is contradictory? What is the contradiction?

Bruno



http://iridia.ulb.ac.be/~marchal/




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http://iridia.ulb.ac.be/~marchal/



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