Hi Bruno,
That is a fascinating claim! "...we could argue the UD is 0 dimensional: it computes an undefined function with 0 arguments."
What is the quantity of computational resources required for such a computation?
A new question is born from your comment: Is your notion of a "dimension" flow from linear independence, like that of vectors? How does one define the notion of a "basis" in this computational dimension?
Onward!
Stephen
----- Original Message -----
From: Bruno Marchal
To: Stephen Paul King
Cc: everything-list.domain.name.hidden
Sent: Saturday, November 05, 2005 8:47 AM
Subject: Re: Let There Be Something
Le 05-nov.-05, à 04:52, Stephen Paul King wrote( to George):
It seems to me that the notion of "storing" and communication 1 bit explicitly requires some form of stable structure over multiple queries. Does this not lead to the requirement of some form of physicality, a physicality that is epiphenomena at best in the ideal monism (everything is Numb3rs) theory?
George, I agree with Stephen here.
As to the question of the smallest dimension that can support life and consciousness; this has been considered by many people. My own ideas consider the smallest dimension that allows for the greatest diversity of forms, forms available to instantiate and represent ideal Forms. We find that in 3 dimensions there exists at least a countable infinity of topologically distinct objects that require non-trivial computational resources to sort and categorize.
Hard question. Trivial at the 3-person level description in the sense that we could argue the UD is 0 dimensional: it computes an undefined function with 0 arguments.
Bruno
http://iridia.ulb.ac.be/~marchal/
Received on Sat Nov 05 2005 - 10:00:51 PST