Part 04: The Seldon Dialogues, Excerpts --
‘‘‘Psychohistorical’’’ Resistance to Mathematical ‘Re-Qualification’.
It is my pleasure, and my honor, as an Officer of the Foundation Encyclopedia Dialectica [F.E.D.] Office of Public Liaison, 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 sayings, of our co-founder, Karl Seldon.
The fourth such release in this new series is pasted in below [Some E.D. standard edits have been applied, in the version presented below, to the direct transcript of our co-founder’s discourse].
Member, Foundation Encyclopedia Dialectica [F.E.D.],
Officer, F.E.D. Office of Public Liaison.
“... The ontological and/or metrical ‘re-qualification’ of key nonlinear differential equations -- i.e., the ‘‘‘multiplication’’’ of such “purely”-quantitative equations by the appropriate dialectical-arithmetical ontological and/or metrical qualifier ‘meta-numbers’ -- that first becomes possible for us via the seventh, Rmu dialectical arithmetic, and that is also carried forward/«aufheben»-conserved in its sequel systems of dialectical arithmetic in our standard progression of such systems/languages -- given its ‘qualifier nullification’ axiom, solves the division by zero conundrum of those nonlinear differential equations.”
“That is, ‘re-qualification’ solves the scandalous problem of their “singularities”; it solves the problem of their “infinite erroneous” at and after their moments of irreversible “singularity”; it solves the problem of their “infinity residuals” at such moments.”
“But such ‘re-qualification’ goes against the grain of the entire cognitive/ideological tide of the last ~500 years of the psychohistory of Terran humanity, as documented in texts of great psychohistorical insight by, e.g., Jacob Klein [e.g., Greek Mathematical Thought and the Origin of Algebra], and Alfred W. Crosby [e.g., The Measure of Reality: Quantification and Western Society, 1250-1600].”
“Such ‘re-qualification’ contravenes the overall trend of capitalist modernity, of the modern «mentalité» entire. And yet, this counter-trend of ‘mathematical re-qualification’ is also emergent in our times, ever more so with the deepening of the descendence phase of the epoch of capitalism. ...”