Re: A question re measure {correction 2}

2005-10-09 Thread Hal Ruhl
Hi Russell: I would change my last post and say that since tails pair with many heads and heads pair with many tails [assuming I am right re what you said] the most compact way to build an All is to use heads as the kernel where ever possible. As heads are encompassed by evolving Somethings

Re: A question re measure {correction}

2005-10-08 Thread Hal Ruhl
Hi Russell: Correction in caps and []. More Additional comments: My definition of kernel is the information necessary to establish a particular division of the list. This requires the All to contain mostly tails if my comments in my last two posts is ok. The result of my dynamic as I see i

Re: A question re measure

2005-10-08 Thread Hal Ruhl
Hi Russell: More Additional comments: My definition of kernel is the information necessary to establish a particular division of the list. This requires the All to contain mostly tails if my comments in my last two posts is ok. The result of my dynamic as I see it is that specific finite he

Re: A question re measure

2005-10-08 Thread Hal Ruhl
Hi Russell: Additional comments: I think what you mean is that each specific head is paired with many tails. Since only one side of the pair is required in the kernel ensemble my model would need to be modified to the effect that both sides of the pair is given physical reality whenever a ke

Re: A question re measure

2005-10-08 Thread Hal Ruhl
Hi Russell: At 07:48 PM 10/8/2005, you wrote: On Sat, Oct 08, 2005 at 12:26:45PM -0400, Hal Ruhl wrote: > > For each natural number n there should be countably infinite [is, is > not] pairs of descriptions of lengths [n, countably infinite]. There > are countably infinite n's. There are also c

Re: A question re measure

2005-10-08 Thread Russell Standish
On Sat, Oct 08, 2005 at 12:26:45PM -0400, Hal Ruhl wrote: > > For each natural number n there should be countably infinite [is, is > not] pairs of descriptions of lengths [n, countably infinite]. There > are countably infinite n's. There are also countably infinite [is, > is not] pairs of des

Re: A question re measure

2005-10-08 Thread Hal Ruhl
Hi Russell: At 12:33 AM 10/7/2005, you wrote: A measure is a function m(x) on your set obeying additivity: m(\empty)=0 m(A u B) = m(A) + m(B) - m(A^B) where u and ^ are the usual union and intersection operations. The range of m(x) is also often taken to be a positive real number. Does this

Re: A question re measure

2005-10-06 Thread Russell Standish
On Wed, Oct 05, 2005 at 10:45:28AM -0400, Hal Ruhl wrote: > 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