A question re measure

From: Hal Ruhl <HalRuhl.domain.name.hidden>
Date: Wed, 05 Oct 2005 10:45:28 -0400

I am not a mathematician and so ask the following:

In my model the ensemble of descriptions [kernels in my All] gets
populated by divisions of my list of fragments of descriptions into
two sub lists via the process of definition.

The list is assumed to be countably infinite.

The cardinality of the resulting descriptions is c [a power set of a
countably infinite set]

Small descriptions describe simple worlds and large ones describe
complex worlds.

To me there should be far more highly asymmetric sized divisions
[finite vs countably infinite] of the list than symmetric or nearly
symmetric [countably infinite vs countably infinite] ones.

However, for each small [finite] description there is a large
[countably infinite] description.

The result seems to be that there are more large descriptions than small ones.

If the above is correct then mathematically what are the measures of
the two types of descriptions?

Hal Ruhl

   
Received on Wed Oct 05 2005 - 11:03:04 PDT