> On 19 Dec 2018, at 18:35, John Clark <[email protected]> wrote:
> 
> On Wed, Dec 19, 2018 at 12:21 PM Bruno Marchal <[email protected] 
> <mailto:[email protected]>> wrote:
> 
> > To each phi_i you can associate phi_i, s, which on input j will [...]
> 
> Without using matter/energy or the laws of physics how can you associate 
> anything with anything? 


The function 1/2 (m+n)(m+n+1) + m associates each natural number with each 
couple (n, m) of natural numbers.

No physical hypothesis at all is needed to prove that result.

Of course I have to make the hypothesis of the existence of the net to make you 
aware of this, but that is not part of the mathematical association (to prevent 
level confusion).



> 
> > The state of mind are indexical. 
> 
> Without matter/energy or the laws of physics how did you create the index,

By using the only assumption I have given. Read the combinators thread for 
details, of just use the RA axioms, which provides the index freely and 
immediately (0, s(0), s(s(0)), …).





> and how did you determine that the index used was the correct one, that is to 
> say the one that does what you want it to do?


I cannot do that, nor can I determine my own pshycial brain, but my brain can 
do that for me. Same in arithmetic.

Bruno



> 
> John K Clark
> 
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