F.E.D. Publishes ‘Hegel’s ‘‘‘Algorithm’’’ for Dialectic’, Methodological Essay by Hermes de Nemores, Part 1, version 1.
Foundation Encyclopedia Dialectic [F.E.D.] has just published Part 1 of a new
dialectical-methodological essay by F.E.D. Secretary-General Hermes de Nemores,
Chief Administrative Officer of the Foundation, via the www.dialectics.org web site.
This essay is entitled ‘Hegel’s ‘‘‘Algorithm’’’ for Dialectic’.
I have pasted in, below, excerpts from the prefatory sections of this essay, for your
convenience, and enjoyment.
The URL path to the full text of Part 1 is as follows --
OUTLINE OF CONTENTS.
OUTLINE OF CONTENTS.
A Note on Notation.
Hegel’s ‘‘‘Algorithm’’’ in his Own Words, as Recorded by his son.
Our Ideographical, Neo-Arithmetical Translation of Hegel’s ‘‘‘Algorithm’’’.
How Dialectical Ideography Captures Hegel’s ‘‘‘Algorithm’’’: Three Application Examples.
Example 1 of 3: The Dialectic of Marx’s «Das Kapital.».
‘Meta-«Dynamis»’ 0. The Opening Category, or «Arché» [‘‘‘First Determination’’’].
‘Meta-«Dynamis»’ 1. Evocation of the First Contra-Category [‘‘‘Second Determination’’’].
‘Meta-«Dynamis»’ 2. «Dynamis» 3. Evocation of the First Uni-Category [‘‘‘Third Determination’’’].
Claim (§4). Does Our Example Instance Capture Hegel’s Fourth Feature of Generic Dialectic: ‘‘‘Self-Complexification’’’?
Claim (§5). Does Our Example Instance Capture Hegel’s Fifth Feature of Generic Dialectic: ‘‘‘Evoluteness’’’?
Claim (§6). Does Our Example Instance Capture Hegel’s Sixth Feature of Generic Dialectic: ‘‘‘Surmounting’’’?
Claim (§7). Does Our Example Instance Capture a Seventh Feature of Hegelian Generic Dialectic: ‘Uni-Archéonicity’?
Example 2 of 3: The Dialectic of the Contemporary Terrestrial Biology Domain.
Example 3 of 3: The Dialectic of the First Triad of Hegel’s «Logik» -- ‘‘‘Set-Theoretical Interpretation’’’.
Commentary on Two Published Summaries of Hegel’s ‘Dialectic Algorithm’, as Published by Hegel himself.
‘Explicitization’ of Some Key Component Procedures Implicit in Hegel’s Methodological ‘‘‘Algorithm’’’.
Definition, and Selection, of an «Arché» Category for a Dialectical Categorial Progression ‘Meta-Model’.
Continuation of a Domain’s Dialectical Categorial Progression ‘Meta-Model’, Beyond an Initial Triad of Categories.
The Nature of the Conclusion of a Domain-specific, Domain-interpreted Dialectical Categorial Progression ‘Meta-Model’.
Evaluation of the Scope and Limitations of Hegel’s ‘‘‘Algorithm’’’ for Dialectic.
About the Author.
This essay, entitled ‘Hegel’s ‘‘‘Algorithm’’’ for Dialectic’, is the first part of our planned suite of three methodological essays.
These essays culminate in setting forth the methodology that we use for the application of our ‘mathematics of dialectics’.
This ‘mathematics of dialectics’ was originally developed by our co-founder, Karl Seldon.
Since our founding, this ‘mathematics of dialectics’ has been in ongoing development by the F.E.D. research collective as a whole, under the direction of Karl Seldon.
The remaining two parts of this planned suite of essays are entitled, respectively, ‘Marx’s Dialectical Method’, by Aoristos Dyosphainthos, and ‘Universal Algorithmic Heuristic Method’, by our co-founder.
When we of F.E.D. come to Hegel’s work, our work is a matter of the immanent critique of a sub-scientific, capitalist-philosophical ideology.
In the specific case of Hegel’s work, this involves a mission of rescuing and salvaging treasures of dialectical insight from out of the ruins of Hegel’s mystifications, of his reifications, of his hypostatizations, of his concept-fetishisms, and of his ‘subject-object inversions’.
Hegel’s work is rampant with the kind of ‘pseudo-agent positings’ which such verbal ‘subject-object inversions’ entail.
Moreover, our work, with respect to Hegel’s work, is also a mission of rescue for his genuine insights, from out of the ruling-class-power-propping ideological theism to which Hegel had to feign allegiance in order to keep his job [cf. Newton’s hiding of his unitarianism vis-à-vis the prevailing trinitarianism of his time and clime].
Our objective in this mission is to extract Hegel’s potential scientific contribution to the discernment, to the derivation, and to the construction, of a ‘‘‘universal method’’’ for the «mathesis universalis», i.e., for learnable subject-matter in general; for the discovery, and also for the optimal presentation of such discovery, combined.
Engels took a “cheap shot” at Hegel’s work when he implied, in Engels’s Ludwig Feuerbach and the End of Classical German Philosophy, that, about the “Absolute Idea”, in the final section, of that title, in Hegel’s «Logik», Hegel had “absolutely nothing to say”.
On the contrary, a rich content, albeit a content brief in expression -- for Hegel -- resides there.
Hegel may have despised, in general, any idea of a ‘philosophical algorithm’ modeled on the mathematics of his time. He may have railed against any idea of a methodology that smacked of mathematics, as he knew it -- if applied to that which was, for Hegel, the ultimate domain of the human spirit, and of human knowledge: to Philosophy.
Hegel may have disdained any idea of a heuristic recipe “externally” guiding philosophical inquiry, and/or guiding the presentation of the distilled fruitions of such inquiry. He may have rejected out of hand the very possibility of any successful “method” imposing forms upon such content; upon the subject-matter of such inquiry and of such presentation, from outside of it, from without it, after the manner of “external reflection”, i.e., rather than being driven solely by that content itself.
Be that as it may notwithstanding, Hegel did provide succinct accounts of his general procedure for dialectic presentation.
In the sequel, we shall review those accounts in detail, and describe the ways in which their prescriptions are captured, and in a unified way, in the mathematical rules-system, in the generic interpretation of that rules-system, and in the Seldon-function algorithm, for the NQ arithmetic, F.E.D.’s ‘First Arithmetic for Dialectic’.
A Note on Notation. For more information regarding the definitions and the ‘ideographical etymology’ of the special arithmetical and algebraical symbols employed herein, click on the following URLs --