On Saturday, May 26, 2012 7:48:41 AM UTC-7, Evgenii Rudnyi wrote:
>
> On 26.05.2012 11:30 Bruno Marchal said the following: 
> > 
> > On 26 May 2012, at 08:47, Evgenii Rudnyi wrote: 
>
> ... 
>
> >> In my view, it would be nicer to treat such a question 
> >> historically. Your position based on your theorem, after all, is 
> >> one of possible positions. 
> > 
> > What do you mean by "my position"? I don't think I defend a position. 
> > I do study the consequence of comp, if only to give a chance to a 
> > real non-comp theory. 
>
> A position that the natural numbers are the foundation of the world. I 
> agree that you often repeat the assumption for your theorem but I 
> believe that your answers to my question have been answered exactly from 
> such a position. 
>
> > 
> >> In your paper to express your position you employ a normal human 
> >> language. Hence I believe that that the question about general 
> >> terms in the human language is the same as about the natural 
> >> numbers. 
> > 
> > ? (I can agree and disagree, it is too vague) 
>
> When we talk with each other and make proofs we use a human language. 
> Hence to make sure that we can make universal proofs by means of a human 
> language, it might be good to reach an agreement on what it is. 
>
> >> 
> >> Again, the ideal world of Plato was not designed for natural 
> >> numbers only. 
> > 
> > Sure. Although it begins with "natural numbers only", and it ended on 
> >  this, somehow, because the neoplatonists were aware of the 
> > importance of numbers and were coming back to Pythagorean form of 
> > platonism. 
> > 
> > Now, with comp, or just with Church thesis, there is a sort of 
> > rehabilitation of the Pythagorean view, for the "non natural numbers" 
> >  reappears in the natural number realm as unavoidable epistemic tools 
> > for the natural numbers to understand themselves, and anymore than 
> > numbers (and their basic laws) is not just unnecessary, it is that it 
> > cannot work without adding some explicit non-comp magic. 
> > 
> > I am not against non-comp, but I am against any gap-theory, where we 
> >  introduce something in the ontology to make a problem unsolvable 
> > leading to "don't ask" policy. 
>
> We are back to a human language. It seems that you mean that some 
> constructions expressed by it do not make sense. It well might be but 
> again we have to discuss the language then. 
>
> Hi Evgenii
>
>  
>
> Here is another opinion on the need for language:  
>
>  
>
> Simulations, models, emulations, replications, depictions, 
> representations, symbols, are different then existent instantiations, 
> exemplifications of the observable universe that are described by 
> mathematics combined with the human language constructs of units of 
> measurement.  
>
>  
> It seems that the existent observable physical universe *encodes* 
> mathematics that human observers combine it with *necessary* language 
> created conventions of units of measurement that can be computed and it 
> (mathematics & language) then describes its appearance.  

 

>
> As for comp, I have written once 
>
> Simulation Hypothesis and Simulation Technology 
>
> http://blog.rudnyi.ru/2011/09/simulation-hypothesis-and-simulation-technology.html
>  
>
> that practically speaking it just does not work. I understand that you 
> talk in principle but how could we know if comp in principle is true if 
> we cannot check it in practice? 
>
> I personally find an extrapolation of a working model outside of its 
> scope that has been researched pretty dangerous. 
>
> Evgenii 
>

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