Gegensatz (Opposition, Hegel)

Gegensatz — opposition (positive / negative) — is the third of the four Reflexionsbestimmungen in the Doctrine of Essence (GW 11 raw 4724 ff.). Gegensatz introduces positive and negative as moments that each contain the other: positive is positive only through its relation to negative; negative is negative only through its relation to positive. The entgegengesetzten as each containing its other generate Widerspruch — the completion of the Reflexionsbestimmung-sequence.

The arithmetic Anmerkung at raw 4762 gives the positional logic: the +a / -a logic of addition/subtraction (where +a and -a externally cancel: +a + (-a) = 0) vs. multiplication/division (where +a × -a internally generates -a²: the negative quantity raised to a positive square). The positional logic is the categorial demonstration that opposition is internal — multiplication shows opposites generating each other rather than externally cancelling.

Key Points

  • Gegensatz introduces positive / negative. The third Reflexionsbestimmung; each opposite contains the other as moment.
  • Emerges from Verschiedenheit. Verschiedenheit unmoored from any third collapses into Gegensatz — opposition is internal difference, not externally mediated.
  • Each entgegengesetzte contains its other. Positive is positive only through its relation to negative; negative is negative only through its relation to positive. Neither side stands alone.
  • The arithmetic Anmerkung (raw 4762). Addition/subtraction: +a + (-a) = 0 — externally cancelling. Multiplication/division: +a × -a = -a² — internally generating. The positional logic shows opposition as internally generative.
  • Transitions to Widerspruch. The entgegengesetzten, each containing its other, generate Widerspruch — the categorial completion. See widerspruch-hegel.
  • Re-deployed in Substanz / Accidenz (raw 6188) — the polar opposition that closes Wesen.
  • Re-deployed in Causalität. Cause and effect as entgegengesetzte; the polar opposition that Wechselwirkung dissolves.

What the Concept Does

  1. It articulates the third Reflexionsbestimmung. Each opposite contains the other; opposition is internal, not external.
  2. It demonstrates positional logic categorially. The +a / -a arithmetic Anmerkung shows opposition as internally generative.
  3. It transitions to Widerspruch. Opposites containing each other generate contradiction.
  4. It re-deploys throughout the Wesen-section. Substanz / Accidenz and Cause / Effect both turn on the Gegensatz-structure.

What It Rejects

  • Externally-cancelling opposition as the basic structure (the +a + (-a) = 0 picture).
  • The dichotomy as final categorial form — opposites containing each other deepen into contradiction.
  • The Kantian table of Gegensätze (logical, real, transcendental) taken as flat juxtaposition — Hegel reads them as graded moments.

Connections

  • is the third of the four Reflexionsbestimmungen
  • emerges from Verschiedenheit — unmoored from any third
  • transitions to Widerspruch — opposites containing each other generate contradiction
  • contains the arithmetic Anmerkung (raw 4762) on +a / -a positional logic
  • is redeployed in Substanz / Accidenz (raw 6188)
  • is redeployed in Causalität — cause and effect as entgegengesetzte that Wechselwirkung dissolves

Sources

  • hegel-1813-wdl-objektive-logik — primary locus: GW 11 Zweites Kapitel C Der Gegensatz, raw 4724 ff. Arithmetic Anmerkung at raw 4762. Redeployed in Substanz/Accidenz at raw 6188.