( Norman Samish) I don't see how a list of numbers could, by itself, contain any meaningful information. Sure, a list of numbers could be an executable program, but there has to be an executive program to execute the executable program. The multiverse has to therefore consist of more than a matrix of numbers which amount to an executable program.
(Bruno Marchal) I am not sure what you mean by matrix of numbers.
(Norman) I made the implicit assumption that everything in the multiverse can be precisely described by a tape feeding a universal Turing machine. The tape feeding the UTM is the "matrix of numbers."
However, Bruno says the following, which, if I understand him, means he does not agree with my implicit assumption. I'm not clear on what Bruno means by "If comp is true. . ." My notion is that "comp" is the "computation hypothesis," which is that we first-person observers cannot tell if we are a computer simulation. If everything in the multiverse can be precisely described by a tape feeding a UTM, then it seems to me that "comp" must be true.
(Bruno, commenting on Georges Quenot) If comp is true the multiverse should not be entirely describable (in any third person term) by any mathematical object. If we are numbers our possibilities go beyond what we can describe in term of mathematical object (and that is why I insist that comp is antireductionist).
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Received on Wed Mar 15 2006 - 11:33:18 PST