‘Monads Everywhere – A Latter-Day Meta-Pythagorean Vision of Our «Kosmos»’.
-- Part 7: Seldon’s Worldview 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 seventh 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 7th installment, Seldon describes the higher level, spiral return-with-development
of the original Pythagorean worldview as it as has emerged. To-date, in the Encyclopedia
Dialectica research-product.
Seldon –
“All is «Arithmos».”
“Everywhere
are «Monads».”
“These «Monads»
include units which not only differ from one another, with “individual differences”,
but which differ qualitatively, which differ in kind, which differ ontologically.”
“An «Arithmos»
is a ‘‘‘number’’’.”
“A «Monad»
is a unit of an «Arithmos»/-‘‘‘number’’’.”
“All is ‘‘‘number’’’, in a very concrete and sensuous sense.”
“An «Arithmos»
made up out of units all of one kind is a ‘kind-number’,
an ‘ontological number’.”
“A ‘‘‘Kind’’’
is an assemblage of units, all of the same ‘“species”’ – a
‘qualitative number’.”
“Arithmetic
is ‘‘‘the science of number(s)’’’.”
“The ‘NQ Arithmetic’ is an arithmetic of “purely” qualitative [meta-]numerals.”
“Each unit/«monad»
of the finite-indefinite ‘‘‘number of units’’’/«arithmos» named NQ is, in its uttermost root meaning, a symbolic, ideographical, ‘[meta-]numeralic’,
‘qualitative ordinal number’. That is, the generic unit/«monad» of the NQ «arithmos», namely qn, incorporates the generic “natural” number, n, as denoting the nth
order-count/order-place/order-number, but the symbol qn as a whole denotes the quality of ‘nth-ness’.”
“Interpreted/applied
for categorial progressions, qn denotes the nth category in a[ny] strictly-ordered
categorial progression. That is, in
set-theoretic language, qn denotes the set of all categories such that each one occupies the nth order-place in its native categorial progression; the nth category in general, the quality of categorial nth-ness – the intension of the extension of
all nth-in-order categories.”
“This
generic ‘categorial arithmetic/language’ can thus be used to symbolize strictly-ordered
categorial progressions of all kinds, for any ontological Domain – for ‘physi[c]o-ontological’, and
for any “pure” ‘ideo-ontological’, and for any ‘‘‘mixed’’’, ‘ideo-physio-ontological’
Domain.”
“Starting
from a chosen, specific-Domain «arché»-category, or starting-category/categorial premise, which is assigned
to generic category-symbol q1, the generic NQ arithmetic/algebra can be used/specified so as to help
elicit, from its user(‘)s(‘) mind(s), the entire systematic or historical progression
of categories – reflecting the progression of the kinds of units of the actual
reality of that Domain – which ostensibly constitute the
comprehended ontological content/analysis of that Domain.”
For more
information regarding these
Seldonian insights, please see --
http://www.dialectics.org/dialectics.org/
and
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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