Dear Reader,
In a recent F.E.D.-internal
‘multilogue’, Karl Seldon cited the recurring, ever-escalating pattern of ‘The Gödelian Dialectic of
the Standard Arithmetics’ --
N ---) W ---) Z ---) Q ---) R ---) C ---) ...
-- as symbolized in the Seldonian NQ_ ‘meta-model’ of that Dialectic, as illuminative for the pattern of the dialectic in general, [psycho]historical and [meta-]systematic alike; ‘‘‘diachronic’’’, ‘‘‘synchronic’’’, and ‘diachronico-synchronic’ alike, in the following words [transcript edited for public sharing by E.D.; 'D' herein stands for the Greek letter "delta"]:
N ---) W ---) Z ---) Q ---) R ---) C ---) ...
-- as symbolized in the Seldonian NQ_ ‘meta-model’ of that Dialectic, as illuminative for the pattern of the dialectic in general, [psycho]historical and [meta-]systematic alike; ‘‘‘diachronic’’’, ‘‘‘synchronic’’’, and ‘diachronico-synchronic’ alike, in the following words [transcript edited for public sharing by E.D.; 'D' herein stands for the Greek letter "delta"]:
“Ontological innovation/disruption, critique, counter-example, supplementary
opposition -- i.e., ‘exo-duality’ -- symbolized as X ~+~ Dx, and born(e) of prior stage ‘endo-duality’,
or ‘intra-duality’, is continually overcome, or assimilated, in its next stage,
in the form of the Y
component of our symbolization of that next stage’s ontology.
But new ‘exo-duality’ is also, concurrently with the
constitution of Y, re-constituted at the,
higher, ontologically-expanded level, and scale, of that same next stage,
which, as a whole, we symbolize by Y ~+~ Dy, in which the
previous ontological stage/state,
X ~+~ Dx, is still wholly <<aufheben>> contained --
Y ~+~ Dy = ()
X ~+~ Dx () “of” ()
X ~+~ Dx () = ()
X ~+~ Dx ()2 =
~() X ~+~ Dx () = () X ~+~ Dx () ~+~
D() X ~+~ Dx ().
I have posted, below, a narrative summary of the
Seldonian ‘meta-model’ of ‘The Gödelian Dialectic of
the Standard Arithmetics’ that, I think, will
help to clarify the notation used by Karl Seldon in the excerpt reproduced
above.
Regards,
Miguel
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