Hi Stephen: In response to your post I have revised my previous post.

I made division equal information and rewrote (1) and (2). I replaced "meaningful" with "compulsatory" in various places at least for now. The result is below. As for associating randomness with creativity Russell argues this in his book and I was showing that my model has randomness and thus was not in conflict with his argument at least at this level. As to degrees of incompleteness I do not see how this can be routinely measured. Arithmetic may be known to be infinitely incomplete but for other structures the resolution of an incompleteness may lead to additional incompleteness. 1) Assume [A-Inf] - a complete, divisible ensemble of divisions. {[A-Inf] contains itself.} 2) [N(i):E(i)] are two component divisions of [A-Inf] where i is an index [as are j, k, p, r, t, v, and z below] and the N(i) are empty of any [A-Inf] and the E(i) contain all of [A-Inf]. {i ranges from 1 to infinity} 3) S(j) are divisions of [A-Inf] that are not empty of [A-Inf]. {Somethings} 4) Q(k) are divisions of [A-Inf] that are not empty of [A-Inf]. {Questions} 5) cQ(p) intersect S(p). {cQ(p) are compulsatory questions for S(p)} 6) ucQ(r) should intersect S(r) but do not, or should intersect N(r) but can not. {ucQ(r) are un-resolvable compulsatory questions}. 7) Duration is a ucQ(t) for N(t) and makes N(t) unstable so it eventually spontaneously becomes S(t). {This ucQ(t) bootstraps time.} 8) Duration can be a ucQ(v) for S(v) and if so makes S(v) unstable so it eventually spontaneously becomes S(v+1) {Progressive resolution of ucQ, evolution.} 9) S(v) can have a simultaneous multiplicity of ucQ(v). {prediction} 10) S(v+1) is always greater than S(v) regarding its content of [A-Inf]. {progressive resolution of incompleteness} {Dark energy?} {evolution} 11) S(v+1) need not resolve [intersct with] all ucQ(v) of S(v) and can have new ucQ(v+1). {randomness, developing filters[also 8,9,10,11], creativity, that is the unexpected, variation.} 12) S(z) can be divisible. 13) Some S(z) divisions can have observer properties [also S itself??]: Aside from the above the the S(v) to S(v+1) transition can include shifting intersections among S subdivisions that is communication, and copying. Perhaps one could call [A-Inf] All Information [all divisions]. Well its a first try. Hal Ruhl --~--~---------~--~----~------------~-------~--~----~ You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to [EMAIL PROTECTED] To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/everything-list?hl=en -~----------~----~----~----~------~----~------~--~---