‘Chardinian Ordinality’ and ‘Peanic Ordinality’ -- Part 07: ‘The Seldon Files’ Series.
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.
“[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:
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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