The
‘META-Pythagorean Proposition’
REVISITED.
GLOBAL STRATEGIC HYPOTHESES.
Dear Reader,
Reality is composed of
manifold, intermingled, ‘numbers of «monads»’,
that is, of ‘«arithmoi» of units’; assemblages
of objects, of discrete individual things, sorted
conceptually, categorially into their qualitatively different kinds’,
but intermingled in physical space – that is the non-mystical,
concrete, sensuous, empirical meaning of the Pythagorean motto “All is number”.
These, qualitative, ‘numbers
of units’ were divided into multitudinous, qualitatively different “kinds”,
of «genos» and species – per the systematic/“eternal”
dialectic of Socrates and Plato; of their «arithmoi eidetikoi».
That saying also implies that
absolutely unique objects, absolute singletons, “one of a kind”
objects, «sui genera», are rare to non-existent in
our universe.
We embrace this implication of the ‘Pythagorean Postulate’.
We also uphold a “tweak” to – that is, an immanent critique of – not
just the Pythagorean world view, but the world view of the humanity of ‘ancient Mediterranea’
entire.
A key psychohistorical root
of that world view is exhibited in the following quotes from foundational texts
attesting to the ancient Mediterranean ‘human phenome’:
“EUCLID defines in the Elements, VII, 2, a number as “the multitude made up of units” having previously (Elements, VII, 1) said that a unit is “that by virtue of which each of existing things is called one.”
“As a unit is not composed of units, neither EUCLID nor ARISTOTLE regard a unit as a number, but rather as “the basis of counting, or as the origin [Gk: «arché» – M.D.] of number.”
[H.-D. Ebbinghaus, et al., Numbers,
Springer-Verlag, NY, 1991, p. 12. Emphasis added by M.D.]
We hold that, on the contrary, ubiquitously, throughout exo-human Nature
and human Nature alike, ‘units are
composed of units’; units contain [sub-]units; [meta-]units are made up out [of multiplicities] of units.
The fuller evidence of this
reality that has been cumulatively unearthed by modern science was, of course, not
extant in the times during which those quotes were written.
However, ample examples of
the presence of ‘meta-«monad»-icity’, and of the process of ‘«aufheben»
meta-«monad»-ization’ as the cause of ‘onto-dynamasis’, were already extant in those times.
Today, in our work, ‘meta-«monad»-icity’, and the
process of ‘«aufheben» meta-«monad»-ization’, as the cause
of ‘onto-dynamasis’, form the core of our world view.
For more
information regarding these
Seldonian insights, and to read and/or download, free
of charge, PDFs and/or JPGs of Foundation books, other texts, and images, please see:
and
https://independent.academia.edu/KarlSeldon
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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