Part 11: Seldon Presents Series -- Gödel’s Rediscovery of Dialectics, at the Very Core of Mathematical -- Formal -- Logic.

Part 11:  Seldon Presents Series --  

Gödel’s «de facto» Rediscovery of Dialectics at the Very Core of Mathematical -- Formal -- Logic.

Dear Reader,

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 from the internal sayings, of our co-founder, Karl Seldon.

The eleventh such release in this new series is entered below [Some E.D. standard edits have been applied, in the version presented below, to the direct transcript of our co-founder’s discourse].

For more information regarding, and for [further] instantiations of, these Seldonian insights, please see --

www.dialectics.info

ENJOY!

Regards,

Miguel Detonacciones,

Member, Foundation Encyclopedia Dialectica [F.E.D.],

Participant, F.E.D. Special Council for Public Liaison,

Officer, F.E.D. Office of Public Liaison.

“... The ineluctable Gödelian incompleteness/inconsistency ‘ideo-intra-duality’/self-inadequacy/‘immanent criticality’ of humans-made ‘ideo-«arithmoi»’/axiomatized assemblages of arithmetical units and of their computational rules -- signified by the derivability, within them, of internally well-formed but internally-unsolvable diophantine algebraic equations, whose internal unsolvability is also not deductively provable within them -- drives these ‘ideo-constructions’, by human-ideational action, into dialectical ideational progressions of ever «aufheben»-higher, richer, ‘ideo-ontologically-expanded’ such axiomatized successor systems of ‘ideo-«arithmoi»’, within which the unsolvable equations of their predecessor axioms-systems of arithmetic become solvable.  Kurt Gödel named this ‘ideo-phenomenon’ -- which he also first discovered -- the “inexhaustibility” or ‘‘‘incompleteabilty’’’ of mathematics.”

“Such “purely”-ideative ‘self-progression’ is connected, in mutual analogy, with the ‘«physis»-intra-duality’, or ‘physio-intra-duality’/‘immanent potentiality’ of the ‘exo-human’ [part of the] «physis» -- with the ‘dialecticality’ of the observed ‘self-progression’ of ‘exo-human’ Nature -- and also with that of the more ‘phys-ical’ aspects of human[ized] Nature itself.”

“That is, by the latter ‘immanent potentialities’/‘intra-dualities’, these ‘physical self-constructions’ drive themselves into also dialectical, ‘physical self-progressions’ of ever «aufheben»-higher ‘«physis»-«arithmoi»’, or ‘physio-«arithmoi»’, all the way up to the human ‘physio-ideo-«arithmoi»’ themselves, and perhaps beyond.”

“Whether or not the Gödelian, potentially-infinite “inexhaustibility” or ‘‘‘incompleteabilty’’’ of mathematics  that Gödel discovered subsists in mutual analogy with a potentially indefinite ‘self-progression’ of the «physis-kosmos» is, in our view, something that is not yet known, especially given a relatively recent discovery -- that of so-called “Dark Energy”.”