‘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] ‘«arché»-ic 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 ut.”
“That is,
the number of algebraic-unknown
category-symbol terms on the Right-Hand Side of such an unsolved [meta-]equation will then
be ut, 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, ut.”
“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 ut.”
“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 --
For partially pictographical, ‘poster-ized’ visualizations of many of these Seldonian insights -- specimens of ‘dialectical art’ -- see:
https://www.etsy.com/shop/DialecticsMATH
¡ENJOY!
Regards,
Miguel Detonacciones,
Voting Member, Foundation Encyclopedia Dialectica [F.E.D.];
Elected Member, F.E.D. General Council;
Participant, F.E.D. Special Council for Public Liaison;
Officer, F.E.D. Office of Public Liaison.
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