Equivalence in the sense of category theory's notion of duality. In
Venn diagrams, for instance, the empty set is the dual of the
universal set.
More particularly to the "bitstring ensemble" ASKA "Schmidhuber
ensemble"* or UD*, the empty observer moment can be identified with Nothing,
and the empty observer moment is the whole plenitude.
Of course the flip side to "can be" is "can't be" - but in that case,
I'm afraid, Nothing does not seem to be a well defined concept (I
stand to be corrected of course!).
* I'm being cautious with my terminology here, as this bitstring
ensemble is not the same as the one generated with speed prior, what
I sometimes call Schmidhuber II. It is the same as the output of a
UD, what you call UD* I beleive.
PS - Maybe this section of my book needs a little more work...
On Mon, Nov 14, 2005 at 12:03:58PM +0100, Bruno Marchal wrote:
>
> Le 13-nov.-05, ? 04:25, Russell Standish a ?crit :
>
> >What do you mean by singularity in this context? It does not
> >parse. Getting something from nothing is usually considered
> >problematic. Getting something from everything is not. Demonstrating
> >the equivalence of nothing and everything solves the problem does it
> >not?
>
> How could nothing and everything be equivalent and in which sense?
> What do you mean by nothing: not even numbers or just nothing
> physically primitive?
>
> Bruno
>
>
>
> http://iridia.ulb.ac.be/~marchal/
>
--
*PS: A number of people ask me about the attachment to my email, which
is of type "application/pgp-signature". Don't worry, it is not a
virus. It is an electronic signature, that may be used to verify this
email came from me if you have PGP or GPG installed. Otherwise, you
may safely ignore this attachment.
----------------------------------------------------------------------------
A/Prof Russell Standish Phone 8308 3119 (mobile)
Mathematics 0425 253119 (")
UNSW SYDNEY 2052 R.Standish.domain.name.hidden
Australia http://parallel.hpc.unsw.edu.au/rks
International prefix +612, Interstate prefix 02
----------------------------------------------------------------------------
- application/pgp-signature attachment: stored
Received on Mon Nov 14 2005 - 18:31:41 PST