‘Chardinian Ordinality’ and ‘Peanic Ordinality’
-- Part 07: ‘The Seldon Files’ Series.
Dear Reader,
It
is my pleasure,
and my honor, as an officer of the Foundation Encyclopedia
Dialectica [F.E.D.]
Office of Public Liaison, 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 correspondence between [demystified] ‘Chardinian ordinality’ -- the “order of appearance” of the various kinds of being in the history of our cosmos -- and ‘Peanic ordinality’ -- the ordinality
prescribed by the first four, “first order logic” Peano Postulates for “Natural” Number, which is so crucial to the efficacy
of the Seldonian ‘First Arithmetic for Dialectic’
in mathematically modeling historical dialectic,
including the cosmological, singular, historical ‘dialectic of Nature’ itself.
Seldon --
“[demystified] ‘Chardinian ordinality’ -- the
‘ordinality’ of the temporal, historical, “order of appearance” of new ontology
-- of new kinds of being -- in the history of our universe, can be modeled,
mathematically, using ‘Peanic ordinality’.”
“The latter is the form of
order represented by the succession of the, “first order” logic, Peano “natural
numbers”.”
“But such modeling requires a
specific, ‘qualo-Peanic’, “non-standard” model of the first four,
“first order” Peano Postulates, forming a, “non-standard”, “natural” arithmetic,
one whose algebra forms a ‘contra-Boolean’ algebraic logic.
“The ineluctable logical
co-existence of such “non-standard” models, with the “standard” model, had been
implicated, albeit non-constructively, by three of the deepest theorems in the
history of mathematical logic... .”
“The models that arise from
that ‘qualo-Peanic’ mapping of ‘Chardinian order’ turn out to be
interpretable as “purely”-qualitative, “purely” ontological-categorial models
of historical dialectic, including of the historical dialectic of the
self-iterating self-«aufheben» self-movement which constitutes our cosmos,
i.e., by which our cosmos constructs itself: the, singular, ‘dialectic of
Nature’.”
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:
¡ENJOY!
Regards,
Miguel
Detonacciones,
Voting Member, Foundation Encyclopedia
Dialectica [F.E.D.],
Participant, F.E.D.
Special Council for Public Liaison,
Officer, F.E.D.
Office of Public Liaison.
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