( 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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