On 08 Jul 2011, at 02:35, meekerdb wrote:

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On 7/7/2011 4:59 PM, Russell Standish wrote:On Wed, Jul 06, 2011 at 10:12:45PM -0700, meekerdb wrote:One that happens to be incompatible with theory that our minds are computer programs.Can you explain that? It seems to be Bruno's central claim, but so far as I can see he only tries to prove that a physical reality is otiose. BrentHere's my take on it. I guess you read the version I wrote 6 yearsagoin ToN. Once you allow the existence of a universal dovetailer, we are far more likely to be running on the dovetailer (which is a simple program) than on a much more complicated program (such as simulating the universe as we currently see it). Under COMP, the dovetailer is capable of generating all possible experiences (which is why it is universal). Therefore, everything we call physics (electrons, quarks,electromagnetic fields, etc) is phenomena caused by the running ofthedovetailer. By Church-Turing thesis, the dovetailer could be running on anything capable of supporting universal computation. To use Kantian terminology, what the dovetailer runs on is the noumenon,unknowable reality, which need have no connection which thephenomenonwe observe. In fact with the CT-thesis, we cannot even know which noumenon we're running on, in the case there may be more than one. We might just as well be running on some demigod's child's playstation,as running on Platonic arithmetic. It is in principle unknowable,evenby any putative omniscient God - there is simply no matter of fact there to know. So ultimately, this is why Bruno eliminates the concrete dovetailer, in the manner of Laplace eliminating God "Sire, je n'ai besoin de cet hypothese". Anyway, Bruno will no doubt correct any mistaken conceptions here :). CheersThat's what I thought he said. But I see no reason to suppose a UDis running, much less running without physics. We don't know of anycomputation that occurs immaterially.

`I'm afraid this is not true. Some people even argue that computation`

`does not exist, the physical world only approximate them, according to`

`them.`

`I have not yet seen a physical definition of computation, except by`

`natural phenomenon emulating a mathematical computation. Computer and`

`computations have been discovered by mathematicians, and there many`

`equivalent definition of the concept, but only if we accept Church`

`thesis.`

`Now if you accept the idea that the propositions like "if x divides 4`

`then x divides 8", or "there is an infinity of twin primes" are true`

`or false independently of you, then arithmetical truth makes *all* the`

`propositions about all computations true or false independently of`

`you. The root of why it is so is Gödel arithmetization of the syntax`

`of arithmetic (or Principia). To be a piece of a computation is`

`arithmetical, even if intensional (can depend on the *existence* of`

`coding, but the coding is entirely arithmetical itself.`

`In short, I can prove to you that there is computations in elementary`

`arithmetical truth, but you have to speculate on many things to claim`

`that there are physical computations. Locally, typing on this`

`computer, makes me OK with the idea that the physical reality emulates`

`computations, and that makes the white rabbit problems even more`

`complex, but then we have not the choice, given the assumption.`

So I assumed I didn't understand Bruno's argument correctly.

`You seem to have a difficulty to see that elementary arithmetic "run"`

`the UD, not in time and space, but in the arithmetical truth. Even the`

`tiny Robinson arithmetic proves all the propositions of the form it`

`exist i, j, s such that phi_i(j)^s is the s first step of the`

`computation of phi_i(j). And RA gives already all the proves, and so`

`already define a UD, which works is entirely made true by the`

`arithmetical reality, which I hope you can imagine as being not`

`dependent of us, the human, nor the alien, nor the Löbian machines`

`themselves (RA+ the inductions).`

`The arithmetization is not entirely obvious. It uses the Chinese`

`theorem on remainders, you need Bezout theorem, and all in all it is`

`like implementing a very high level programming languages in a very`

`low level "machine language", with very few instructions.`

`Matiyasevitch has deeply extended that result, by making it possible`

`to construct a creative set (a universal machine) as the set of non`

`negative integers of a degree four diophantine equation. This has the`

`consequence that you can verify the presence (but not necessarily the`

`absence) of *any* state in the UD (like the galactic state described`

`above) in less that 100 additions and multiplications. That is weird!`

`A degree 4 diophantine polynomial can emulate any arbitrary growing`

`functions from N to N, and even from Q to Q. So if you agree that a`

`natural numbers is solution or not, of a diophantine polynomial,`

`independently of you, then all digital computations are realized, or`

`not, independently of you, me, or the physical universe.`

Bruno http://iridia.ulb.ac.be/~marchal/ -- You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to everything-list@googlegroups.com. To unsubscribe from this group, send email to everything-list+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/everything-list?hl=en.