On Thursday, May 9, 2019 at 8:22:38 AM UTC-5, Bruno Marchal wrote:
>
>
> On 9 May 2019, at 13:03, Philip Thrift <[email protected] <javascript:>> 
> wrote:
>
>
>
> On Thursday, May 9, 2019 at 5:34:29 AM UTC-5, Bruno Marchal wrote:
>>
>>
>> On 3 May 2019, at 16:10, [email protected] wrote:
>>
>>
>>
>> The general response here is that there has never existed a program that 
>> has executed outside a computer. And computers are made of matter.
>>
>>
>> That is false. Programs have been discovered in arithmetic, like prime 
>> numbers. Computations are number relation (the sigma_1 one).
>>
>> “
>>
>
> Who discovered arithmetic and where is it?
>
>
> Arithmetic is known by human before they developed written language, and 
> the first proof of sophisticated result, are 5000 years old, with the 
> tablets showing those ancient people got all Pythagorean triples. 
>
>
>
>
> I get the idea that Arthur Conan Doyle "discovered" Sherlock Holmes, and 
> he "is" in books and people's brains (imaginations).
>
>
> Arithmetic has been found independently by Chinese, Indian, europeans, 
> etc. Everyone agree on all arithmetical proposition, without any exception. 
> It is used all the time, everyday, and your laptop would cease functioning 
> if only one arithmetical proposition would be false. Sherlock Holmes is a 
> creation of the mind by Doyle. You can meet human approximating him, but 
> even if they look very similar, it is not Sherlock Holmes, by definition.
>
>
>
> But arithmetic actually has no more reality than that, outside of its 
> operations in brains and man-made things. One can say DNA or other natural 
> things is "doing" arithmetic and so forth. That kind of thing.
>
> But where is this thing you call arithmetic?
>
>
> Numbers, and arithmetical relation are out of the category of things to 
> which “where” applies, unless you define “where” in some arithmetical 
> sense, like when we say that 10^100 is far from 0, but of course, this is 
> not used in the physical sense. 
>
> On the contrary, the physical “whereness” is derived from mechanism and 
> arithmetic.
>
> The theory of everything is explicitly given by classical logic +
>
> 1) 0 ≠ s(x)
> 2) x ≠ y -> s(x) ≠ s(y)
> 3) x ≠ 0 -> Ey(x = s(y)) 
> 4) x+0 = x
> 5) x+s(y) = s(x+y)
> 6) x*0=0
> 7) x*s(y)=(x*y)+x
>
> If you eliminate just one axiom from that theory, you get very interesting 
> theories, but none is Turing complete.
>
> We can use anything Turing equivalent. I have proven recently and 
> explicitly on this list that the following theory is Turing complete:
>
> 1) If A = B and A = C, then B = C
> 2) If A = B then AC = BC
> 3) If A = B then CA = CB
> 4) KAB = A
> 5) SABC = AC(BC)
>
> Those two theories lead to the same machine theology, and thus the same 
> physics, and up to now, it fits with Nature, and explains entirely what is 
> consciousness and where it comes from. 
>
> Bruno
>
>
>


I still don't get how a unique physics comes out of a particular Theory Of 
Arithmetic (TOA)  --  Is a theory of dark matter already lurking within TOA 
ready to be derived? -- but as for arithmetic being "universal" among 
cultures, arithmetical abilities are also found in other animals, like 
birds.

   https://en.wikipedia.org/wiki/Bird_intelligence


Just as there is panexperientialism -- experientiality at various (proto) 
levels is found universally in all matter 

    https://en.wikipedia.org/wiki/Panpsychism#Panexperientialism

-- and panlinguisticism -- ditto language -- there is panarithmeticalism.

Matter has all these aspects: experiential, grammatical, arithmetical.

@philipthrift



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