Please give out with more info, Bruno, on Goedel's discovery in 1931 regarding 'conscious being.' Are you speaking of the arise of the conscious human being, or some sort of platonic, God process or program?
-----Original Message----- From: Bruno Marchal <[email protected]> To: everything-list <[email protected]> Sent: Fri, Dec 11, 2015 12:41 pm Subject: Re: Is consciousness hypercomputable? On 11 Dec 2015, at 07:27, Dan wrote: If we could harness the undecidability of the spectral gap to implement infinite real weights for Hava Siegelmann's analog recurrent neural network model, then I suppose we could in theory achieve hypercomputation. The undecidability of the spectral gap reflects only the Turing-universality of physics. I am not sure you can use that to *harness* hypercomputation. To show that a simple problem is undecidable is more impressive, like showing that there is no algorithm for deciding if a diophantine polynomial equation has a solution or not (Matiyazevitch), that is impressive, as it shows that a tiny part of the arithmetical reality is already Turing-Universal, and that it emulates all computations (by the intensional Church Thesis, which follows from the usual Church's thesis). Evolution (Darwin) can be said to make an hypercomputation, as time can play the oracle for the halting problem in the limit. Hava Sielgelmann still consider programs, that you can implement with serial digital computer. Those are interesting from an engineering perspective, like quantum computation, but they do not, without further ado, make possible to escape the consequence in physics of computationalism (in the cognitive science). This would have many incredible consequences. We wouldn't be able to develop an algorithm to reproduce consciousness, but perhaps by trying all possibilities (perhaps guided by intuition, as Goertzel suggests) we might then actually stumble upon a conscious being. Maybe our brains are analog recurrent neural networks that exploit this undecidability of the spectral gap... I think we have met algorithms which can implement consciousness: any universal machine/program/number. Then the Löbian machines/programs/numbers, like Peano Arithmetic, and which are the universal machines capable of knowing that they are universal, are as much conscious and self-conscious that you and me, but with much less prejudices, illusions and other contingent built-in theories/beliefs. See my papers for the theology that such machine can discover when looking inward (in a precise sense due to Gödel, Kleene, etc.) We *have* stumbled on the conscious being, since Gödel 1931. It is just our own dumbness/spitual-sleepiness, which makes us slow in realizing this. It still needs the study of some amount of mathematics and logic to understand what is happening. Bruno -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout. http://iridia.ulb.ac.be/~marchal/ -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout. -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.
