- Contemporary messages sorted: [ by date ] [ by thread ] [ by subject ] [ by author ] [ by messages with attachments ]

From: Hal Ruhl <hjr.domain.name.hidden>

Date: Fri, 30 Mar 2001 21:58:08 -0800

Dear Juergen:

At 3/30/01, you wrote: [I reverse the order of your comments]

*> (Admittedly I also was not able to
*

*>follow your earlier reply dated Thu, 22 Mar 2001 19:47:35)
*

Here is a semi analog of my view of the Everything:

Take some differently colored balls say red, green, and black. Put a lot

of each in a big bag. Now add some caterpillars to the bag. Each

caterpillar is provided with a different set of rules for deciding what

color ball it will crawl onto next. These rules may use the color of the

ball it is currently on as data. Further make sure the bag of balls is

slowly stirred in a way to avoid damage to the caterpillars

Now - without regard to the pattern of ball transfers each caterpillar's

rules dictate from random to highly non random - all these patterns will be

produced equally fast.

To get to my actual Everything [roughly] first substitute an infinite

variety of patterns each repeated an infinite number of times each with a

family of interpretations in place of the balls. Second substitute

shifting isomorphic links {linking interpretation to universe} for the

caterpillars. Now stir with my Everything/Nothing alternation.

*> > If one allows an infinite repeat of each and every natural number is that
*

*> > not a uniform distribution?
*

*> >
*

*> > Hal
*

*>
*

*>There are many ways of repeating each natural number infinitely often.
*

*>But what does this have to do with a uniform distribution? How do you
*

*>assign probabilities to numbers?
*

The scenario I was trying to create is where you have numbers with

different properties say some short strings, some long strings, some simply

patterned strings, some with complex patterns, etc. etc. Now on the number

line numbers with one family of properties may be more or less numerous

than numbers with another family of properties. If you put all these

numbers in a bag and reach in and pull out a number at random the largest

family would have the greatest probability of having a member be the one

pulled out - an uneven distribution.

Now increase the contents of the bag so that all the original numbers are

in there with an infinite number of repeats - all families of properties

would have the identical probability of having a member be the one pulled

out - an even distribution.

Similar to some properties of my Everything but I use pattern rather than

number. All numbers may be patterns but not all patterns are numbers.

Hal

Received on Fri Mar 30 2001 - 19:14:33 PST

Date: Fri, 30 Mar 2001 21:58:08 -0800

Dear Juergen:

At 3/30/01, you wrote: [I reverse the order of your comments]

Here is a semi analog of my view of the Everything:

Take some differently colored balls say red, green, and black. Put a lot

of each in a big bag. Now add some caterpillars to the bag. Each

caterpillar is provided with a different set of rules for deciding what

color ball it will crawl onto next. These rules may use the color of the

ball it is currently on as data. Further make sure the bag of balls is

slowly stirred in a way to avoid damage to the caterpillars

Now - without regard to the pattern of ball transfers each caterpillar's

rules dictate from random to highly non random - all these patterns will be

produced equally fast.

To get to my actual Everything [roughly] first substitute an infinite

variety of patterns each repeated an infinite number of times each with a

family of interpretations in place of the balls. Second substitute

shifting isomorphic links {linking interpretation to universe} for the

caterpillars. Now stir with my Everything/Nothing alternation.

The scenario I was trying to create is where you have numbers with

different properties say some short strings, some long strings, some simply

patterned strings, some with complex patterns, etc. etc. Now on the number

line numbers with one family of properties may be more or less numerous

than numbers with another family of properties. If you put all these

numbers in a bag and reach in and pull out a number at random the largest

family would have the greatest probability of having a member be the one

pulled out - an uneven distribution.

Now increase the contents of the bag so that all the original numbers are

in there with an infinite number of repeats - all families of properties

would have the identical probability of having a member be the one pulled

out - an even distribution.

Similar to some properties of my Everything but I use pattern rather than

number. All numbers may be patterns but not all patterns are numbers.

Hal

Received on Fri Mar 30 2001 - 19:14:33 PST

*
This archive was generated by hypermail 2.3.0
: Fri Feb 16 2018 - 13:20:07 PST
*