Re: Numbers

From: Bruno Marchal <marchal.domain.name.hidden>
Date: Fri, 17 Mar 2006 16:56:41 +0100

Le 17-mars-06, à 06:48, Daddycaylor.domain.name.hidden a écrit :

>
> Yes, I was assuming that the descriptions "lose information", or
> generalize, just as "mammal" is a generalization, and just as Bruno's
> duplication loses information.  Otherwise, I would call it a
> re-representation of *ALL* the details of something, *as seen from a
> certain perspective*, into another form.  I don't think this is
> possible with physical things in our universe.  This is what I was
> trying to get at.



But what is a physical things? Are assuming such things exist at the
outset?



>  
> If we are limiting our discussion to numbers to begin with, then we
> would have to assume at the outset that the universe is totally
> representable (not just describable) by numbers in order for the
> discussion to have any bearing on the final true nature of the
> universe.  I don't assume that.


What do you mean by limiting the discussion to numbers? We know today
that the realm of numbers (I mean natural numbers) contains many things
which is already not representable in term of numbers. For example the
notion of true proposition (bearing on numbers) cannot be represented
arithmetically.
I would say that Godel's theorems demolish all "reductionist"
interpretation of what the numbers are capable of.
The UDA shows also that if I can be locally coded by a number, then
necessarily my observable universe, which emerges from all my possible
continuations, will be full of entities which are not codable by
numbers.
After Godel we know that even if we limit ourselves to numbers at the
outset, there is just no complete finite TOE capable of describing all
the truth (about numbers).


Bruno



http://iridia.ulb.ac.be/~marchal/


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Received on Fri Mar 17 2006 - 10:57:59 PST

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