While numbers may contain the ability to have a
discourse about themselves such as via Godel
numbering it seems to me a substantial leap to
say that they can have any discourse about
anything else let alone a discourse to a degree
that brings these other things into some level of
existence. This is because as I see it meaning
beyond the self reference to other numbers is
assigned to numbers by mechanisms external to numbers.
How could numbers "mean" my list? Since I could
arbitrarily shuffle the list as often as I
pleased then all counting numbers would wind up
mapped to each item on the list. This seems a
complete suppression [except for the self
reference just mentioned] of meaning => number
and/or number => meaning to me. Similar to what
Peter said each number would mean "red", "green",
"mammal", etc., and each meaning would be tagged to each number.
The simplest approach IMO is to allow that my
list generates numbers as needed [and mathematics
for that matter] in various universes and assigns
numbers meaning in those universes as and if
required via the dynamic generated by its various
divisions [see my other posts on my model].
This does not preclude the generation of sets of
universes - some out of an infinite number of
sets of universes - in which numbers act as the
seed and thus support Bruno's machine
introspection etc. The approach seems more
universal in its scope of allowed universes and ease of their generation.
At 12:24 PM 3/13/2006, you wrote:
>Le Lundi 13 Mars 2006 14:23, [EMAIL PROTECTED] a Ã©critÂ :
> > Quentin Anciaux wrote:
> > > But whatever you do with numbers can be encoding with numbers, as such
> > > assuming platonic existence, numbers are the only requirements, because
> > > operation on them, discourse about them, description on them are numbers
> > > too.
> > Hmm. You can hardly claim that the meaning is intrinsic to the number.
> > Does "2" mean "red", "mammal", "male" or what ? It could be mean
> > anything in a given coding scheme.
>I agree, but the coding scheme is also a number.
>The coding scheme is the instruction set of a turing machine, which is also a
>number... I'm stuck ;)
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