I have excerpted below, the opening section of F.E.D. Vignette #8, entitled "Dialectic -- A Compact Definition."
P.S. The full text of F.E.D. Vignette #8 is available to you for free-of-charge download via the following links --
F.E.D. Vignette #8 --
Dialectic: A Compact Definition.
by Miguel Detonacciones
Author’s Preface. The purpose of Vignette #8 is to present a compact definition of our fundamental term, ‘‘‘dialectic’’’, plus an “extended” version of that compact definition -- extended into greater explicitude -- as well as to suggest how that definition entails several possible algebraic interpretations.
A Note about the On-Line Availability of Definitions of F.E.D. Technical Terms. Definitions of Encyclopedia Dialectica technical terms and ‘neologia’ are available on-line via the following URLs --
-- by clicking on the links associated with each such term, listed, alphabetically, on the web-pages linked above.
The Encyclopedia Dialectica special terms most fundamental to this vignette are indicated below, together with links to their E. D. definitions --
-- definitions resources which will be expanded as the F.E.D. Encyclopedia Project unfolds.
Dialectic is «aufheben».
A ‘‘‘dialectic’’’ is the progression of new ontology -- of new kinds of “existence”, or of new kinds of “being”, including of new kinds of “physical” being, as in historical dialectics, e.g., that of pre-human nature, or of new kinds of “idea” being [e.g., new categories/concepts], as in systematic dialectics, or of new kinds of both types of ‘‘‘material’’’ together, as in the [psycho-socio-politico-economico-]historical dialectic of human social nature -- that issues from the recurring self-application of an originating, or «arché», «aufheben» process/operation/operator, & which forms ever richer new «aufheben» processes/operations/operators with every recurrence, or self-iteration, of its self-application.