Your mathematical theology and truth/beauty, aristotle/plato, berkeley/newton, 
reminds me of David Deutsch's Constructor Theory. Here is an article from a 
physicist in Aeon magazine which highlights the dichotomy of physics v 
mathmatics, to my understanding. 


https://aeon.co/essays/how-constructor-theory-solves-the-riddle-of-life


Care to comment and illuminate. You UDA reminds me of this.



-----Original Message-----
From: Bruno Marchal <[email protected]>
To: everything-list <[email protected]>
Sent: Mon, Feb 29, 2016 3:38 pm
Subject: Re: Cryonics punched cards and the brain




On 29 Feb 2016, at 00:47, spudboy100 via Everything List wrote:



 Did any civilization, other then the Attic Greeks, produce a number based 
theology or philosophy such as the Greats of Greek philosophy? I almost want to 
think the Hindus did at about the same time? I am quite sure they have not come 
up with the same ideas as Greeks. 


That are interesting questions, and hard to answer. The more I dig on this, the 
more I think that many interesting ideas where circulating in Persia, India, 
... Pythagorus was a big traveller who seemed to have sum up years of progress 
in science/technology including the listening to others strategy (dialog).


Somewhere between -8000 and -6000, according to some scholars, people in Africa 
knew the many solutions of the diophantine x^2 + y^2 = z^2 "pythagorean 
triplets equations", explained in cuneiform on tablet in argilus.. 


I think the indians discovered and recognized the zero, a giant step in math 
(and in theology). 
Nothing *does* count. 
Chinese and Japanase, perhaps some indians used it for long, but without naming 
it, by their wood stick algorithm 
(see https://www.youtube.com/watch?v=0SZw8jpfAk0)


I don't find example with a zero, like 108 X 411, but the wood stick algorithm 
does still work, you just need to use an invisible wood (!), and that's what 
the chinese did, using zero by a space without a wood.


A brilliant tool of the mind seemed to have hide a brilliant discovery! 
But Indians got it. It is the country of Ramanujan, after all.


The idea that numbers (or eequivalent in some vague sense) might be related 
with a (rationalist) theology is implicit in the "the question of king 
Milinda". According to scholars Milinda was Ménandre (french) name for a known 
greek antic king. 


I think it makes no sense, except as a discovery of a stable reality in our 
mind, with the same usual migrant problem and so you get the negative numbers, 
the fractions, the irrationals, the reals, the complex, the quanternions, the 
octonions, the sedenions, if not the surreal game of Conway, and Cantor and 
beyond, or *many* organizations of numbers, or eventually the intensional 
universal numbers, which are those who dreams and reflects each others. John 
Case invoked the Indra Net, and arithmetic is full of multilayered structures 
determined by angle (points of view).


Anyway, it is in the head of all universal number. Do you know that you are, at 
the least, a universal number (even if you might be more than that of course: 
that is true even if mechanism is false!).


Keep in mind that mechanism does not choose numbers or combinators. Any 
universal Turing system would do. In the reality where it is the cuttlefish 
which get civilized, they use K (with their mouth) and S with their tentacles, 
and made brilliant mathematics without ever using numbers, except as 
uninteresting combinators, but they to soon or later will see the interest, 
because all universal system have their word to say in the big picture.


Also, mechanism explains why the numbers are confronted to many non enumerable 
realities.


(and I use numbers as we know them from school), but the progress are like that:


1) succession


(beauty and order, decidable)




2) addition


(more beauty and order, still decidable)




3) multiplication.


Shit happens. The eternal war between freedom and security starts. 


4) induction axioms


Not only shit happens, but the universal machine knows that shit happens 
unavoidably, especially when assuming that shit does not happen (~[] f ).


There, the consistent machines and gods become forever undecided, learning to 
live with the partially computable and the partially highly non computable to 
which they are necessarily confronted. 


In arithmetic the gods can see larger portion of truth, but even for them, it 
helps them only to see how much they know nothing. 
Yet some laws works, and are invariant on many levels. 
 In arithmetic, the more you know, the more you know that you don't know.


Physicists measure numbers, and predict relations between numbers. That there 
is a reality from which those numbers come from is a metaphysical assumption, 
and well, mechanism illustrates it is not an easy problem, but we have some 
tools in mathematical logic to proceed.


In science, we never claim we possess the truth, same in theology when done 
with the (religious) humility. What we can do, is to propose clear and precise 
theories, and means to test them. 


The purely mathematical theology of the universal Turing machine (which knows 
she is Turing universal) is physically testable, as physics is part of that 
theology. 


In arithmetic, machines and "man" (in the Plotinus sense of discursive 
reasoner) are sort of baby gods, confronted to tuns of divine exams). The 
universal machine is more a terrible child than the one Leibniz and Hilbert 
hoped for, or that your laptop might let you think at first sight. 


Mathematics is not theology, but with the mechanist assumption mathematics 
provides tools to study the relation between the computable and its non 
computable semantics, etc.


The numbers or the combinators per se are not important, it is the closure of 
the set of the (semi)-computable functions for diagonalization which is 
important, it makes consistent Church-thesis, and gives the price.


To be immortal you can do two things: either put your little ego in a security 
prison (excessive-motherhood solution) or you can kill the little ego while 
alive, and getting that it is not the important part after all.




Bruno











 
 

 
-----Original Message-----
 From: Bruno Marchal <[email protected]>
 To: everything-list <[email protected]>
 Sent: Sun, Feb 28, 2016 10:52 am
 Subject: Re: Cryonics punched cards and the brain
 
 
 

 
 
On 28 Feb 2016, at 03:32, John Clark wrote:
 

 
 
 
On Fri, Feb 26, 2016 at 3:37 AM, Bruno Marchal <[email protected]> wrote:
 
 
 
 
 

 
 
 
 
 
 
 
 
 
 
 
 
 
​>> ​
 ​Theology remains stupid because it's the study of nothing,
 
 
 
 
 
 
 
 
 

 
 > It is the science of God. If your theory says there is no God, that is still 
 > a theology,
 
 

 
 
If your field of study is the fact that 2+2 =5 and I show the 2+2 is not equal 
to 5 then what more is there to say about your field of study?   
 
 
 
 
 
>In the theology of Plato 
​ [....]​
 
 
 

 
 
TO HELL WITH THEOLOGY AND TO HELL WITH PLATO! 
 

 
 
 
 
> your perpetual use of primary matter
 
 
 
 

 
 
 
​TO HELL WITH PRIMARY MATTER!​
  
 
 
 
 
 

 
 

 
 
You can sum up Plato by "to hell with primary matter", so you contradict 
yourself.
 

 
 

 
 
 
 
 
 
 
 
 
 
 
> confirms that you seem to believe in Aristotle god:
 
 

 
 
​TO HELL WITH ARISTOTLE AND TO HELL WITH GOD!​
 
 
 
 
 
 

 
 
OK, nice, again this is equivalent, in your language, with "to hell with 
primary matter", but of course contradicts again "to hell with Plato".
 

 
 
Plato is just the doubt of primary matter. Aristotle is just the quick coming 
back to primary matter.
 

 
 
 
 
 
 
 
 
 
 
 
 
​> ​
 With the definition of god of the greek, indian, chinese, there is no doubt 
that everybody believe in God.
 
 
 

 
 
 
​Yes, even I believe that grey vague blobs that do nothing of importance exist. 
 ​
  
 
 
 
 
 

 
 

 
 
Your usual trick: changing the definition. 
 

 
 
I thought we did define God by the origin of all things, the creator, or the 
reason of reality or everything real, including you BTW, and you did provide 
evidence that you consider you as important (which might be your motivation for 
immortality, also).
 

 
 
God is the nickname of the primary reality from which all others will be 
derived. It is a way to not decide in advance if it what we see (a physical 
universe) or something else (like the arithmetical reality for the 
(neo)pythgoreans).
 

 
 
Of course we don't know if such a god exists, but it is the faith of the 
rationalist to get the best possible theory of that primary reality. 
 

 
 
 
 
 
 
 
 
 
 
 
 
​> ​
 The interesting question is not if God exists or not, but what is the nature 
of God:
 
 

 
 
 
​That's easy, God is a 
 grey vague blob that probably doesn't exist and would make no difference even 
if He did because He does nothing. If God exists the universe doesn't need Him. 
 
 
 
 
 

 
 

 
 
But with the definition of God, on which 99,9% agree: if God did not exist, 
nothing would exist.
 
Of course by changing the definition you can make a good pun.
 

 
 

 
 

 
 
 
 
 
 
 
 
 
 
 
​>> ​
 Name one time I invoked "primitive matter" 
​ in my arguments that intelligence needs matter.​ ONE TIME!
 
 
 
 
 
 
​> ​
 But then why do you disagree with anything I said,
 
 
 

 
 
 
​I've disagreed when you said matter is not needed for intelligence,
 
 
 
 
 
 

 
 
I made clear I was talking on Primary Matter.
 

 
 

 
 

 
 
 
 
 
 
 
 
 but ​ as I've said over and over and over and over, matter or may mot be 
primary but it is certainly needed for intelligence. 
 
 
 
 
 
 

 
 
That is ambiguous at the extreme. 
 

 
 

 
 

 
 

 
 
 
 
 
 
 
 
 
 
 
​> ​
 given that all what I say is that the notion of primary matter is 
epistemologically contradictory
 
 

 
 I don't care if that matter is primary or not.
 
 
 
 

 
 
My point in this thread was that I consider dangerous to say "yes" to an 
unknown doctor of the future, and that it was vain if the goal was immortality.
 

 
 
It seems to me that you did use the idea that some matter was needed to be 
assumed for an implementation of the relevant program could "be conscious". My 
answer was that it was needed only for being conscious relatively to our normal 
(physical) worlds/computations, but that elementary arithmetic was enough for 
the normal computation continuing the dying process (in that case).
 

 
 
If you were not assuming implicitly that your notion of matter was primary, 
your argument would not have gone through.
 

 
 
You might have change your mind since, but then indeed, our conversation can be 
closed. 
 

 
 

 
 

 
 

 
 
 
 
 
 
 I'd better repeat that because apparently you're a little hard of hearing: I 
DON'T CARE IF MATTER IS PRIMARY OR NOT. Should I say it again? 
 
 
 
 
 

 
 

 
 
So please try to stop using argument that a Turing machine needs matter to be 
thinking, because it needs only non primary matter. I did show that arithmetic
 
1) has to provide it if mechanism is correct (by the UDA(*))
 
2) gives serious clues that such no primary matter, which here is only a mode 
of self-reference relative to sigma_1 sentences (AUDA(*)), obeys quantum logic 
and describes alternate sets of computations. Something explaining, and being 
retrospectively confirmed by quantum mechanics without wave packet reduction 
(which is the reason of this list: the appreciation of Everett).
 

 
 
UDA (Universal Dovetailer Argument)
 
AUDA (Arithmetic Universal Dovetailer Argument)
 

 
 
In the sane04 paper, it is the section 1 and 2.
 
 
 
 
 
 
 
 
 
 
 
we are in the paradigm of Aristotle theology.
 
 
 

 
 
Speak for yourself. 
 
 
 
 
 

 
 
That is a bit unfair. Given that I show that mechanism, both intuitively and 
formally, contradict Aristotle, and that is shocking only for bigot 
Aristotelians.
 

 
 

 
 

 
 
 
 
 
 
 
 
 
 
 
> Only professional theologian knowing Plato
 
 

 
 
Given the fact that there is no knowledge there for a theologian to know I 
don't see how a knowledgeable theologian differs from a ignorant theologian. 
And there is no way any ancient Greek could be of the slightest help is solving 
modern scientific or mathematical or philosophical problems.
 
 
 
 
 

 
 

 
 
That's because you confuse, or were confusing, science with Aristotle theology. 
By not caring on the abyssal difference between matter and primary matter, you 
avoid the problem of what we need to assume minimally in the theory of 
everything. Computationalism is based on the notions of computations and 
require Church thesis to get a mathematical definition, and it can be shown 
that we cannot deduce the existence of a universal system without assuming at 
least one. Very elementary arithmetic is enough.
 

 
 
The greek theology has given both physics (mainly by more or less implicit 
aristotelians) and mathematics.
 

 
 
And I gave you a reference on a books which shows that even the modern 
mathematical logic is born from motivation in neoplatonist theology, including 
to take distance with dogma, and elevate the rigor in the reasoning.
 

 
 
Unfortunately, in the professionalization process of mathematics, the 
mathematicians and the mathematical logicians took some distance with that 
philosophical and theological motivation. That was indeed good for the 
mathematical sciences, no doubt, but that was bad for the process of 
professionalization of non confessional theology, that is "greek" theology. 
There is no dogma nor revelation in the public greek theology. 
 

 
 

 
 

 
 

 
 
 
 
 
 
 
 
 
 
 
 
> science has not decided between Plato and Aristotle
 
 
 

 
 
Yes it has, science decided about 400 years ago that both are irrelevant.
 
 
 
 
 

 
 
Irrelevant with respect to what? 
 

 
 
Fundamental science is the search of what is and what is not.
 

 
 
The current paradigm is Aristotelian. Most people believe that there is a 
physical universe, and  the weak materialist conceives it as primary. Even most 
religious people believe it to be quasi-primary, up to some creation by some 
god.
 

 
 

 
 

 
 

 
 

 
 

 
 
 
 
 
 
 
 And a modern reader interested in philosophy would do much better studying 
Einstein or Darwin.   
 
 
 
 
 

 
 
Einstein is not bad in religion, and was at least aware that his 
aristotelianism was religious, although with an impersonal god. But Gödel was 
even more serious on this and open to the idea that  theology comes back in 
science.
 

 
 

 
 

 
 
 
 
 
 
 
 
 
 
 
 
​> ​
 The epistemological existence of the appearance of matter is a consequence of 
arithmetic.
 
 
 

 
 
 
​Even if you're right about that it wouldn't change the fact that matter is 
required for intelligence.
 
 
 
 
 
 

 
 
Yes, that is exactly what is proved, and illustrated, with the non primary 
matter, which is only a first person plural sharable mode of the universal 
Turing machines or numbers.
 

 
 

 
 

 
 
 
 
 
 
 
 
 ​
   
​And I don't know that you're right, ​t
 here is at least as much evidence that you've got it backwards and matter 
implies the existence of arithmetic;
 
 
 
 
 

 
 
They are bounded together in the (sigma_1) arithmetical reality. From inside, 
it looks like much bigger than the sigma_1 reality.
 
The physical is basically the bound of the sigma_1 arithmetical reality as seen 
from inside arithmetic by the universal numbers.
 

 
 
 
 
 
 
 
 
 
 
 
 
​> ​
 some mathematical realism independent of any language or formal system used to 
described it.
 
 

 
 
  
​Why ​
 mathematical realism 
​?​
   
Mathematics is a language just as English is, so you could just as easily call 
it English realism. ​
  
 
 
 
 
 

 
 

 
 
There is a mathematical language and an english language. But the realism is 
not about the language but on the theories written in the languages. 
 

 
 
The sentence "the boson exists" exists, independently of the existence of the 
boson in the physical reality.
 

 
 
Likewise the sentence "2+2=4" exists in arithmetic independently of being true 
or false in the arithmetical reality. 
 

 
 
Once you agree that matter might not be primary, you have to be open to other 
primary axioms. We have to assume something, and the beauty of computationalism 
is that we do not need more than to assume the natural numbers and the axioms 
of succession, addition and multiplication. I put already the induction axioms 
in the epistemology of some beings existing by the succession, addition and 
multiplication axioms only.
 

 
 
 
 
 
 
 

 
 
 
 
> we can no more postulate a primary physical reality, 
 
 
 

 
 
 
But I can postulate the in your next post you will continue to drone on about 
how matter is not primary even though it has nothing to do with matter being 
needed for intelligence.
 
 
 
 
 
 

 
 

 
 
As I said, I did this because you did use implicitly primary matter to refute 
one of my point in the thread. If you agree that matter might not be primary, 
then the point you made is refuted at the start.
 

 
 
You can no more say that pure arithmetic can't generate consciousness by 
invoking the money success of physical computer corporation, because in the 
arithmetical reality too consciousness needs the appearance of matter to 
develop and differentiate, and make money by selling physical computers. But 
they are only first person sharable invariant Turing Number's observable.
 

 
 
Bruno
 

 
 

 
 

 
 

 
 
 
 
 
 
 
 

 
 
 John Clark 
 

 
 

 
 
  
 
 
 
 
 


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