> On 26 Jun 2018, at 03:59, John Clark <[email protected]> wrote:
> 
> On Mon, Jun 25, 2018 at 8:04 PM, Jason Resch <[email protected] 
> <mailto:[email protected]>> wrote:
> 
> ​>​Study what diophantine equations are capable of (for example, considers 
> the examples I provided in my original post), and you will see they possess 
> an unlimited working memory.
> 
> I did and I'll be damned if I understand how all the Diophantine equations in 
> the world put together can store one bit of information,


That is explained with all details in Matiyazevic's book.



> much less a unlimited amount,  you certainly never said how on earth they 
> could do it, and the scientists at Intel can't figure out how to do it either 
> that's why they're still using silicon.

That is not relevant, as with mechanism, silicon is a material illusion brought 
by the first person plural indeterminacy.



>  
> ​> ​I also recommend reading Gregory Chaitin's book
> 
> Gregory Chaitin is on record saying that he doesn't think the Real Numbers 
> exist, and his book describes calculations but it can't make calculations any 
> better than the books Bruno recommends.

A book cannot do a computation. But a book can provide explanation why the 
notion of computation is a purely mathematical notion, indeed, a purely 
arithmetical one.

Bruno


> 
> ​> ​Special relativity strongly suggests that our physical existence is 
> similarly timeless, it is unchanging and unchangeable, a static 
> four-dimensional block universe.
> 
> If we're talking about consciousness its irrelevant what things are like from 
> a objective viewpoint because subjectively time is the single most important 
> characteristic of existence.  
> 
> ​>​If, as you say, anything goes, why are the only solutions to the Fibonacci 
> yielding Diophantine equation I posted, only crank out the correct answers?
> 
> Those equations don't crank out anything unless there is matter to form a 
> crank and energy to turn the crank, otherwise the equations just sit on the 
> printed page inert and dead.  
> 
> ​>​Why does the Deep-Blue equation, only crank out the correct chess move 
> that Deep Blue would make?
> 
> ​The Deep-Blue equation doesn't crank out anything either unless its put into 
> Deep Blue machine. And even then nothing will happen unless the machine is 
> connected to the electrical power grid.   ​ 
>  
> ​>​Recursive functions often have the property of slightly permuting the 
> input with each invocation. 
> 
>  ​And ​each invocation​ requires matter and each ​invocation​ requires energy.
> 
> ​>​John Conway's game of life exists in the world of pure numbers
> 
> No it does not. Conway invented the game using hos physical brain. And the 
> like pattern remains static unless it's run on a computer or laboriously 
> computed by a human and played by hand. Hawking asked "What is it that 
> breathes fire into the equations?", the answer is matter and energy.​ 
> 
> John K Clark​
> 
> 
> 
> 
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