User blog:Scorcher007/Analysis DAN up to Z2

My analysis is based on the following assumption:

1) DAN is limit of Z2:

{n,n(1,,1,2)2} ~ П11-CA0

{n,n(1,,,1,2)2} ~ П12-CA0

{n,n(1,,,,1,2)2} ~ П13-CA0

e.t.c.

2) Hypcos hypothetical analysis, that:

{n,n(1(1(1(1...(1,,2,,)...2,,)2,,)2,,)2)2} = {n,n(1(1&#39;,,2,,)2)2} ~ KP+Пn

The analysis was conducted on the basis of pattern in the stable ordinals, which are similar to smaller ordinals

Stable ordinal notation:

S[a+n] = La≺1La+n

S[a+S[a+1]] = La≺1La+L b≺Lb+1

S[&Omega;a+1] = La≺1L&omega; a+1CK = (+)-stable (zoo 2.8)

S[Ia+1] = La≺1LI a+1 = inaccessibly-stable (zoo 2.11)

S[Ma+1] = La≺1LM a+1 = Mahlo-stable (zoo 2.12)

S[a2+1] = La≺1Lb≺1Lb+1= doubly (a+1)-stable = (zoo 2.13)

S[a&omega;+1] = &omega;-ly (a+1)-stable = nonprojectible (zoo 2.15)

S[a&alpha;+1] = &alpha;-ly (a+1)-stable

S[I-a&alpha;+1] = 1st inaccessibility of &alpha;-le (a+1)-stable

S2[a+1] = La≺2La+1 = 2-stable

Sk[a+1] = La≺kLa+1 = k-stable

&beta;0 = &omega;-stable = 1st gap in L (zoo 2.17)

(zoo #) means number of ordinals in Madore&#39;s Zoo of ordinals

pDAN

sDAN

DAN