‘First Dialectic Algebra’:
‘Univocalization’ as Solution.
-- Part 05: Seldon’s Secrets Series.
It is my pleasure, and my honor, as an elected member of the Foundation Encyclopedia Dialectica [F.E.D.] General Council, 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 fifth 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 5th installment, Seldon describes what we mean by ‘univocalization’ as the form of solution for the dialectical-algebraic unknown terms arising in our ‘First Arithmetic/Algebra for Dialectic’.
“Our strictest criterion for the solution of a ‘category-symbol’ term -- generated in a dialectical-algebraic equation by the algorithmic categories-progression expansion from the single, initial «arché» ontological category of a given Domain -- is what we term ‘univocalization’.”
“The “raw” category-representing terms, generated by such algorithmic categorial series expansion from the single «arché» category, are typically ‘bi-vocal’ – or even more ‘multi-vocal’ than ‘bi’ – in the sense that they involve two or more subscript epithets, or categorial determinations, subscripted to their q generic arithmetical qualifier ‘meta-numeral’ component.”
“The comprehension of the qualitative meaning of such an initially ‘‘‘algebraic unknown’’’ ‘category-symbol’ -- the semantic comprehension or ‘semantification’ of that symbol -- is signified when the modeler is able to express the meaning of the joining together of those multiple subscripted epithets or determinations by a single word name -- or via a single phrase -- that aptly ‘character-izes’ that algebraic “character”-complex.”
“Such comprehension is signified by taking a single key letter – perhaps the initial letter – from that word or phrase, and replacing the two or more subscript, or ‘denominated’, epithets with that single-letter epithet in the subscript, or ‘‘‘denominator’’’ – in the ‘specifier component’ -- to that q generic arithmetical qualifier ‘meta-numeral’ component.”
“The capability for this ‘univocalization’ of the initially ‘multi-vocal’ should always be sought in the effort to solve such a categorial series dialectical-algebraic equation. However, after that is achieved, there are cases, in our work, where then returning back to the ‘bi-vocal’ or even more ‘multi-vocal’ version of the ‘category-symbol’, that has already been solved for, can be highly instructive.”
“Consider the following examples…”
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.];
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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