# Combined response Re: Computing Randomness

```Dear Juergen and Bruno:

Clearly I have a problem when I try to use mathematical terminology in
which I am not formally trained to explain my approach.```
```
So here is an attempt to explain it in just a few normal words.  My
"system" be it a FAS or not is modeled on the logistics equation process
not the equation itself.

{Rules(String 0) + SD(0)} -> String 1;
{Rules(String 1) + SD(1)} -> String 2;
{Rules(String 2) + SD(2)} -> String 3;
etc.

"String 0" is like an axiom.
"Rules" define a cascade [universe] and is the entire rule set.
"String 0" contains the entire initial alphabet.
"SD(N) is the self-delimiter.
All the "Rules" apply to each "String N".
The cascade is considered to define a universe as opposed to imposing from
"outside" a restriction to "mathematical structure".
For this reason I prefer "Pattern N" instead of "String N".
The cascade is a self contained system.  I call it a FAS because I believe
it meets the definition.
The cascade is initially assumed everywhere [each step and overall] single
valued and elegant = deterministic.  As a result each "String N" is more
complex than String (N -1).

Add to this Godelian incompleteness and a touch of just plain "do not care"
as possible aspects of the Rules.  The result is a succession of fresh
behaved to support SAS.

The cascade is modified by considering it to be an isomorphism and its
association with a particular pattern to be an isomorphic link.  All
patterns as considered to exist simultaneously in infinite repetition in a
Superverse.  The Rules act as a comparator mitigating isomorphic link
shifts between successor patterns.

The necessary gradients within the Superverse are provided and stirred by
the Superverse/Nothing alternation which is historyless and driven by an
incompleteness in both the Superverse and the Nothing.

I will expand my reading in logic to help my communication, but I believe
the above total Superverse be an infinite collection of  "FAS" of all
complexities including those where the Rules are completely "do not care".

Hal

```