Bruno Marchal wrote: > > > On 24 Jul 2011, at 22:08, benjayk wrote: > > >>> OK. Remember the goal, to find the, or a, TOE. >>> What I suggest, at least, is that with comp, any first order logical >>> specification of any universal machine, will do. >> Well, okay. I just get the feeling that a TOE doesn't really exist. >> You >> "just" have a theory that manages to state this very clearly, and >> logically. > > > You might try to take literally what I say. I was saying that each > universal numbers (like FORTRAN, Conway's game of life, LISP, prolog, > Robinson arithmetic, etc.) are TOE. To fix the things I have chosen > Robinson Arithmetic. > > The theory of everything is basically a bit of classical logic and the > axioms: > > 0 ≠ s(x) > s(x) = s(y) -> x = y > x+0 = x > x+s(y) = s(x+y) > x*0=0 > x*s(y)=(x*y)+x > > Another one is mainly > > Kxy = x > Sxyz = xz(yz) > > That gives rich ontologies in which internal observers "project > realities". With comp we have to embed the mathematician (the little > ego!) in arithmetics, and the laws of mind and matter does not depend > on the choice of the first initial universal system. > All computations contains all computations by all universal systems, > that is why the tehological matter (including physics) does not depend > on the initial choice. It does not mean that there is no TOE. Only a > lot, which are equivalent for the fundamental matter. They lead all > to the same hypostases, once you accept the classical theory of > knowledge (Theaetetus). >

We can debate the terms. I think calling universal systems a TOE is a bit of a stretch. The notion of a TOE usually is used in a reductionist sense, as a theory that can be used to predict everything. I don't think this can be done through universal systems. It appears to me COMP allows for uncomputable, and therefore unpredictable phenomena. I am critical of the very notion of a TOE. It doesn't make much sense. Even current physics clearly shows that results of experiments can't be predicted precisely. So is the TOE supposed to give a perfect probability distribution? But what is this even supposed to mean? COMP shows, as you said, that there are unbridgeable gaps, which really means there is something left unexplained, and unexplainable. So no theory can explain everything. But we can show the necessity of there being a gap. -- View this message in context: http://old.nabble.com/Mathematical-closure-of-consciousness-and-computation-tp31771136p32164031.html Sent from the Everything List mailing list archive at Nabble.com. -- 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.