F.E.D. Dialectics: ‘Dialectical Meta-Equation Meta-Models’ – Their ‘Dialecticality’. -- Part 12: Seldon’s Secrets Series.

Monday, June 07, 2021

‘Dialectical Meta-Equation Meta-Models’ – Their ‘Dialecticality’. -- Part 12: Seldon’s Secrets Series.

‘Dialectical Meta-Equation Meta-Models’ –

Their ‘Dialecticality’.

-- Part 12: Seldon’s Secrets Series.

Dear Reader,

It is my pleasure, and my honor, as an elected member of the Foundation Encyclopedia Dialectica [F.E.D.] General Council, and as a voting member of F.E.D., to share, with you, from time to time, as they are approved for public release, by the F.E.D. General Council, key excerpts from the internal writings, and from the internal sayings, of our co-founder, Karl Seldon.

The first release in this new such series is posted below [Some E.D. standard edits have been applied, in the version presented below, by the editors of the F.E.D. Special Council for the Encyclopedia, to the direct transcript of our co-founder’s discourse].

In this 1st installment, Seldon describes the dialectical character of the ‘meta-equation meta-models’, formulated in the E.D. _WQ ideographical [mathematical] language/arithmetic.

Seldon --

“In the Encyclopedia Dialectica ‘dialectical meta-equations’, formulated in the _WQ language, the Left-Hand Side [LHS] represents the category of the ‘«arché»-ic unity’ of the Domain so [meta-]modeled.”

“Such a ‘dialectical meta-equation’ is a dialectical equating between [self-involuting] unity and/with diversity.”

“That Domain ‘«arché»-ic unity’ is, therein, also self-reflexively ‘self-involuted’ to some specific ‘meta-degree’ -- or to a generic, algebraic, ordinally-variable ‘meta-degree’, Î W.”

“That ‘meta-degree’ is a ‘meta-exponent’ to the u “mere” exponent that forms the base ‘‘‘degree’’’, or “mere” ‘‘‘degree’’’, u, of the thus ‘u-adic’ function in use to form the ‘meta-equation’, and such that u Î W.”

“That Left-Hand Side -- of any such ‘meta-equation’ -- is equated to a Right-Hand Side [RHS] which represents the growing ontological-categorial diversity generated by that [meta-]degree of self-involution of the actual «arché-arithmos» of «monads», or of units, that the «arché»-ic category represents.”

“That Right-Hand diversity is represented as a non-amalgamative ‘‘‘sum’’’ of heterogeneous, quality-differing symbols, each representing a category that manifests in the Domain explicitly at the level of the degree of self-development of the Domain given by that [meta-]degree of the self-involution of the «arché».

“The ontological, ‘«monad»-ic’ diversity, as represented by the ontological-categorial diversity of the equational Right-Hand Side, grows as the ‘meta-degree’ or ‘meta-exponent’ grows. For example, if we represent the ‘meta-degree’ generically – algebraically – by the variable-symbol t, then that qualitative diversity grows as u^t.”

“That is, the number of algebraic-unknown category-symbol terms on the Right-Hand Side of such an unsolved [meta-]equation will then be u^t, and the maximum number of category-symbol terms ‘‘‘summed’’’ on the RHS of the solved [meta-]equation will be -- iff all category-symbol terms are solvable for the given Domain -- again, u^t.”

“Because the number and quality of the terms on the Right-Hand Side of such an equating varies with, e.g., t, it is not a single “mere” equation, but, is, instead, a ‘meta-equation’, made up out of a heterogeneous multiplicity of qualitatively different “mere” equations, all describing ordinally-successive different stages in the self-development of the given Domain.”

“So, for example, at the start of the tth ‘‘‘epoch’’’ of the Domain being so [meta-]modeled, the count of heterogeneous, qualitatively different, ‘‘‘unaddable’’’ [Plato: «asumbletoi»] ‘ontological «monads»-cluster symbols’, or ‘«monads»-«arithmoi» symbols’, or ontological categories’ symbols -- the Whole number representing their RHS ontological diversity, all sourced ultimately in the LHS ‘«arché»-ic unity’ of the Domain -- is u^t.”

“The ‘dialecticality’ of this equating between unity and diversity, via the ‘meta-degree’ self-involution of the symbol representing the ‘«arché»-ic unity’ of the Domain, is further reinforced as follows: the advancing, ‘self-iterating’, self-involution of the ‘«arché»-ic unity’, advancing as, e.g., t advances, models a recurring «aufheben» process.”

For more information regarding these Seldonian insights, please see --

www.dialectics.info

For partially pictographical, ‘poster-ized’ visualizations of many of these Seldonian insights -- specimens of ‘dialectical art’ -- see: