Dialectical
‘Meta-Numerals’: ‘Subscriptization’ signifies «Aufheben» ‘Ideo-Meta-Unit-ization’.
-- Part 06: Seldon’s Maths 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.
This 6th release of
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 6th installment, Seldon discusses how the becoming-subscripts of the earlier ‘meta-numeralic’ dialectical-arithmetical units, of the predecessor “purely”-qualitative and ‘quantifiable-qualitative’
arithmetical
qualifier symbols, within the predecessor
dialectical arithmetics/algebras -- in the dialectical progression
of dialectical systems of arithmetic/algebra -- represents,
in the later, successor dialectical systems
of arithmetic/algebra, an ideographical
form of the process of «aufheben» ‘meta-unit-ization’ which is also the primary
form of the dialectical process in
physical nature.
Seldon –
“The early ‘meta-numerals’ -- the NQ ‘meta-numerals’ and their immediate
sequel in the ‘meta-systematic dialectical’ systems-progression method of
presentation of the axioms-systems for our arithmetics/algebras for
dialectics – work, in part, by ‘subscriptizing’, e.g., Natural numbers, or Whole numbers, to the subscript-level of their ‘arithmetical qualifier’
script-level symbols.”
“Later ‘dialectical
meta-numerals’ in that dialectical axioms-systems-progression – such as the metrological,
“dimensional analysis” unit qualifier ‘meta-numerals’ that emerge in the 7th, ‘Mu axioms-systems’, work, in part, by ‘subscriptizing’ the ‘meta-numerals’
of earlier, e.g., of the 3rd – the ‘U’, or ‘QN’ -- dialectical synthesis axioms-systems – the ‘quantifiable
arithmetical qualifier meta-numerals’, including their N or W subscripts, to their ‘meta-qualifier’,
script-level dialectical-arithmetical symbols.”
“This
creates ‘meta-numerals’ with two or more levels of ‘subscriptization’ –
with ever-more levels of ‘subscriptization’, or, for notational
convenience, of ‘denominatorization’, of prior ‘meta-numerals’.”
“This
process of the ‘under-turning’, of the ‘self-re-entry’, of the ‘self-internalization’
of the ‘meta-numerals’ of the earlier axioms-systems, as the way of forming the
later ‘meta-numerals’ of the later axioms-systems, constitutes a symbolic,
arithmetical, ideographical form of the «aufheben» ‘meta-unit-ization’ process, which is also the typical
form of dialectical process in other Domains as well.”
“It is so
because the script-level ‘arithmetical meta-qualifiers’ of those later, richer,
more-complex-descriptions-capable ‘ideographical-dialectical’ axiomatic
languages each ‘‘‘contain’’’, as their subscripts, or denominators, a typically
heterogeneous multiplicity of the ‘arithmetical qualifier’ symbols of the preceding
dialectical-arithmetical/algebraic, ‘ideographical-dialectical’ axiomatic
languages in that progression of axioms-systems/languages of arithmetics/algebras
for dialectics, by which we systematically present the progress
of dialectical-mathematical cognition.”
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’ – as well as dialectically-illustrated books
published by the
F.E.D. Press, 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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