Thank you for this remark, Hal. Indeed, you mentioned very similar

"List of all properties: The list of all possible properties
objects can have.  The list can not be empty since there is at least
one object: A Nothing.  A Nothing has at least one property -
emptiness.  The list is most likely at least countably infinite and
is assumed herein to be so.  Any list can be divided into two
sub-lists - the process of defining two objects - a definitional
pair.  The set of all possible subsets of the list is a power set and
therefore uncountably infinite.  Therefore there are uncountably
infinite objects."

But your theories are much more complex than that if my first
impression is correct. Sooner or later, I'll give attention to them in
more detail.

This list really is a rich source of unconventional ideas! Since I'm
new in the list, I am always thankful if someone refers me to
interesting earlier discussions where I can read up on several topics.


On 16 Sep., 21:50, Hal Ruhl <[EMAIL PROTECTED]> wrote:
> Hi Youness:
> I have been posting models based on a list of properties as the
> fundamental for a few years.
> Hal Ruhl
> At 06:36 PM 9/13/2007, you wrote:
> >On 13 Sep., 19:44, Brent Meeker <[EMAIL PROTECTED]> wrote:
> > > Youness Ayaita wrote:
> >This leads to the
> >2nd idea:
> >We don't say that imaginable things are fundamental, but that the
> >properties themselves are. This idea was also expressed by 1Z in his
> >last reply ("We define imaginable things through hypothetical
> >combinations of properties", Z1) and I think it's a very good
> >candidate for a solution. Then, we start from S being the set of all
> >properties (perhaps with the cardinality of the natural numbers). As
> >above, we define {0,1}^S as the ensemble of descriptions. This would
> >have the cardinality of the real numbers and could mathematically be
> >captured by the infinite strings {0,1}^IN (the formal definition of
> >the Schmidhuber ensemble to give an answer for Bruno).

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