“Probability-Density Distributions-Dynamics” and Dialectical-Algebraic ‘Cumula’.

“Probability-Density Distributions-Dynamics” and Dialectical-Algebraic ‘Cumula’.

Dear Reader,

‘‘‘Solved/interpreted’’’ _NQ_ ‘meta-model cumula’, up to, but not including, their ‘‘‘meristemal’’’, final terms, in cases of ‘Dyadic Seldon Function meta-models’, can be grasped as qualitative partitionings -- as discrete, ‘‘‘ontological’’’ partitionings -- & as apt namings, of the content of their associated “probability-density distributions”, or ‘‘‘expected frequency-of-encounter’’’ [with the given kind of «monad»] distributions.

These _NQ_-algebra ‘meta-modeled’ ‘‘‘frequency-of-encounter distributions’’’ are generally expected to be ‘‘‘hyperbolic’’’ distributions, like the one depicted below, for the F.E.D. dialectical “theory of everything” -- the ‘‘‘dialectic of nature’’’ -- ‘meta-model’, where every successive term/ ‘categorogram’ represents an «arithmos» of «monads» with less zenith ‘onto-mass’ than do its predecessor ‘categorograms’. 

Or, they are expected to be ‘‘‘exponential’’’ distributions, like those for many of the Seldonian ‘psychohistorical dialectical meta-equations’ --

http://www.dialectics.info/dialectics/Welcome.html

http://www.dialectics.info/dialectics/Applications.html

http://www.dialectics.info/dialectics/Applications_files/Revised,Application_Page_Posting,The_Seldonian_Psychohistorical-Dialectical_Equations,by_Aoristos_Dyosphainthos,20SEP2014.pdf

http://feddialectics-miguel.blogspot.com/2012/05/fed-psychohistorical-equations.html

-- describing aspects of human nature/dynamics.  

E.g., for the case of the human-social formation(s) ‘psychohistorical dialectical meta-equation’, the zenith ‘onto-mass’ for the “bands” formation-category is estimated to have been far exceeded by the zenith ‘onto-mass’ for the “camps” formation-category, whose zenith ‘onto-mass’, in turn, is estimated to have been far less than the zenith ‘onto-mass’ for the agricultural “villages” formation-category, and so on.

Either way, our expectations are for one-tailed distributions -- upper-tail-only [right-tail only] in cases of ‘‘‘hyperbolic’’’ distributions, lower-tail-only [left-tail-only] in cases of ‘‘‘exponential’’’ distributions.

Each stage/epoch/step advance, in such a ‘meta-model meta-distribution’, ‘multi-distribution’, or ‘distribution of distributions’, models a ‘‘‘meta-evolutionary’’’, ‘‘‘revolutionary’’’, ‘‘‘meta-dynamical’’’, ontology-changing/ontology-[net-]expanding event, and represents an expanded ‘possibilities-cumulum’, forming a new ontological frequency distribution, and ‘‘‘adding’’’ it into the ‘cumulum’ of  the earlier frequency distributions, already ‘extantized’.

Such advance does so because it brings with it an increment of new terms, of new ‘categorograms’, that represent, in ‘Dyadic Seldon Function’ cases, the first full development of the latest-irrupting frequency distribution, that was only introduced ‘pre-vestigially’ in the immediately previous epoch/step, as well as bringing the harbinger of the next, new frequency distribution, a frequency distribution to be fully ‘‘‘populated’’’ & developed only in the next epoch/step.

In cases of ‘Triadic Seldon Function _NQ_-algebraic meta-model meta-distributions’, each stage/epoch/step of advance completes the ‘real subsumption extantization’ of the discrete partitions/categories representing the content of the distribution for the latest-irrupted new ontology, with a dialectical ‘full synthesis’, or ‘full uni-category’, culmination. 

The harbinger of the frequency distribution for the next-to-be-irrupted ontology begins only in the next epoch/step, in cases of ‘Triadic Seldon Function _NQ_-algebraic meta-model meta-distributions’.    

Regards,

Miguel