Commentary on the Logic, Chapter 9
The Transition from Essence to Concept
Reciprocal action (Chap. 7) was the highest form of the logic of essence: A determines B, B determines A, the system determines itself. But — who carries out this reflection? The performative question leads to the answer: the Concept — self-determination that gives itself its own presuppositions. Reciprocal action was still “blind”; the Concept is the conscious appropriation of this structure.
Hegel’s “Concept” has nothing to do with “word meaning.” By “Concept” Hegel means the inner organizational structure of a thing — what makes it what it is. Demystified: the “Concept of life” is not our definition of life but (as an analogy:) something like the genetic structure that organizes the organism. Hegel calls the Concept the “I” of the thing, its “living principle” — what is meant is: every thing has an inner logic that determines how its parts hang together. This sounds as though things were subjects (precisely the mystification Marx criticizes). But the demystified core is sober: if we want to grasp [begreifen] a thing, we must find its inner structure — not merely list its external features.
The A-B-E Structure — The Genetic Code of Logic
This structure returns as the first of the ordering modes in [[systematisches-denken:7]] (optional) — there developed without presupposing Hegel, using objects everyone is familiar with. Carry this out (Experiment 62): As you read these lines, you are simultaneously enacting three levels: (1) Universal (A) — universal structures of language, argumentation, logic, which hold for every reader. (2) Particular (B) — your cultural, biographical, and professional perspective — the specific way you, as this person with these experiences, take in the text. (3) Individual (E) — your unique individual reaction right now, in this moment, with this mood. Notice: the Particular (B) is not “some arbitrary trait” of yours. It consists of the particularities that arise from your being human — the roles and perspectives in which the Universal (a rational being) embodies itself in you.
Consider the A-B-E structure using “democracy”: A (Universal) — the principle of the people’s self-government. This principle necessarily requires certain particularizations. Internally (organs): every democracy needs a legislative function, an executive function, and a judicial function — this follows from the very concept of self-government, since whoever governs itself must be able to set rules, enforce them, and review them. Externally (kinds): self-government can be organized immediately (direct — the people decide for themselves) or mediately (representative — the people elect representatives who decide). This distinction is disjunctive: either the people decide themselves, or they delegate. E (Individual) — this concrete democracy here and now, for instance the Federal Republic of Germany, which mixes both forms (representative in principle, with direct elements at the state level). Without A, B would be arbitrary (why these particular organs?). Without B, A would be empty (how does self-government concretely realize itself?). Without E, everything would remain abstract (where is the actuality?). The three moments are non-self-subsistent — they exist only through one another.
The logical necessity: without A, no determining principle; without B, no distinctions; without E, no concrete realization. A-B-E is not a classification but a living movement: the Universal particularizes itself, the Particular individualizes itself, the Individual returns into the Universal.
The Particular — What Formal Logic Fails to Understand
Classical logic knows only the universal (class) and the singular (element). Hegel introduces the particular as an indispensable middle term. Formal logic sees B merely as a subset (What belongs to the class?). Hegel’s insight goes deeper: the particular develops out of the universal — it is not merely an arbitrary subgroup, but can be derived from the universal. This is the decisive difference from a simple set relation.
Two directions of particularization: The universal particularizes itself in two ways: (1) Outward — into species. “Triangle” particularizes into equilateral, isosceles, scalene. The species can be derived from the universal when a complete disjunctive classification is possible (either A or B or C, no D). This works well in logic, mathematics, and many products of the mind; less so in nature, because there the species cannot always be fully derived from the generic concept. (2) Inward — into parts (organs, functions). An organism particularizes into organs that work together as means for the whole. This inward particularization can almost always be derived from the universal: the organs of the body can be understood from its form of life, the departments of an organization from its purpose.
What matters is this: the various instances of B must be derivable from A. Only then is B genuine particularization and not merely an arbitrary classification imposed from outside.
The chair example — Why concepts are not lists of features: Formal logic defines: “A chair is a piece of seating furniture with four legs, a backrest, and a seat.” But why exactly these features? The selection seems thrown together at random. Hegel’s alternative: “A chair is a seating arrangement” — that is the generic concept (A). The particularizations (B) follow from this in conjunction with real conditions: The seat follows from the fact that body weight must rest on something. The backrest follows from the need to relieve the upper body. The legs follow from the fact that the seat must be raised off the ground. And the various forms of chairs (office chair, throne, bar stool) follow from different purposes of sitting. The parts are not arbitrarily thrown together, but follow systematically from the basic concept. This is particularization inward (organs). The species (office chair vs. bar stool) are particularization outward. Both can be derived from A — the concept carries within itself the principle of its own development. (What this means in a living sense becomes fully visible only in the Idea of Life, Chapter 19: the S³ processes — self-differentiation, self-preservation, self-sublation — are the living form of this particularization.)
On disjunctive completeness: With objects of the mind, this derivability shows itself even more clearly. “Rule” divides completely and without overlap into heteronomy (dictatorship, monarchy) and self-determination (democracy). Logically, there is no third possibility. Such a complete disjunctive division is the ideal of outward particularization.
Another example: the structure of capital valorization (A) necessarily requires particularization into productive, commercial, and interest-bearing capital (B) — one can show why there must be exactly these three forms.
The human being as an example of living particularization: The universal concept of the human being (A — a rational natural being) is realized in every individual person (E) simultaneously in various particularities (B): different roles (parent, worker, citizen), different identities (cultural, linguistic, professional), different capacities. These particularities do not stand alongside the universal but embody it — each role is a specific way of being human. The individual person in their concrete action (E) is then the unity of all these particularities in a single enactment of life.
Moments of the Concept vs. Distinct Items
The logical test: can I remove one moment without the others changing? For distinct items: yes (a table remains a table whether or not there are chairs). For moments of the concept: no. Each moment of the concept is the whole concept in the determinacy of that moment. Universality (chemical laws) is the whole concept “water” as possibility; particularity (H₂O) as determinacy; singularity (this water here) as actuality.
Stekeler’s Linguistic-Analytic Reading
Stekeler-Weithofer translates Hegel’s logic of the concept into the grammar of social practice. The universal is not the “class,” but the norm — that which holds for everyone and which everyone recognizes as valid. The particular is the concrete application of the norm. The individual is the case — this particular action, here and now. This translation shows that Hegel’s logic of the concept is not detached metaphysics, but the grammar of what we do when we judge, infer, and act.
The Reduction to A or B — A Logical Diagnosis
The A-B-E structure provides a precise diagnostic tool: whoever absolutizes the particular (B — culture, gender, ethnicity) and severs it from the universal (A — universal human dignity) is performing a reduction to B without A. Conversely: whoever plays the universal off against the particular (“we are all the same, after all”) is performing a reduction to A without B. Both forms miss the truth that lies in the mediation of A, B, and E. The insight is not political but logical: without A, society disintegrates into incommensurable groups; without B, society becomes abstract and levelling; without E, the individual human being is sacrificed to the group or to the principle.
How this diagnosis can be applied to present-day conflicts — and where its limits lie — is developed in [[identitaetspolitik]] (optional).