‘A Mathematics of Meaning’ -- Part 08: ‘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 eighth 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 8th installment, Seldon describes a key distinction between the F.E.D. ‘first arithmetic for dialectic’, and the ‘‘‘first standard arithmetic’’’, that of the “Natural Numbers”, N, from which the F.E.D. ‘first arithmetic for dialectic’’ is born.
This key distinction continues to apply to the other “standard” axioms-systems of arithmetics, e.g., those of the W, Z, Q, R, C, and H number-systems.
Those other “standard” arithmetics are also spawned from the N arithmetic, but in a different direction of its ‘ideo-ontological self-propagation’.
The latter direction is ‘‘‘orthogonal’’’ to that direction of its ‘ideo-ontological self-propagation’ that produces the ‘meta-system’ -- or dialectical categorial progression «qua» dialectical axioms-systems progression -- of the F.E.D. ‘arithmetics for dialectic’.
“The NQ algebra is an algebra of/for meaning and of/for meanings.
Its algebraic unknowns, its symbols to be solved for, are solved by discovering/finding their meaning.
That meaning is not restricted to the narrow confines of abstract numbers, of quantities without qualification, of the ‘unqualified quantifiers’ that the standard algebras solve-for.
The NQ algebra’s meanings are about qualities -- albeit qualities without quantification -- about unquantifiable qualifiers.
It thus takes a second step toward concreteness, toward an ideographical language able to express qualifiers that are also quantified, quantifiers that are also qualified, ‘quantified qualifiers’ that are also ‘qualified quantifiers’.”
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,
Office of Public Liaison.
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