Two people arguing can produce something neither brought. Dialectic is the family of methods built on that observation, and the family is less unified than the shared name suggests.

The Greek methods

Aristotle credited Zeno of Elea with inventing dialectic. Its best-known version is the Socratic elenchus of Plato's early dialogues: the interlocutor asserts a definition, Socrates extracts further admissions, and the admissions contradict the definition. The dialogues typically end in aporia, with no answer reached — the result is knowing that you did not know, which Socrates treats as progress and his interlocutors generally do not.

Aristotle then drew the distinction that organises the whole subject. Demonstration reasons from premises that are true and primary; dialectic reasons from endoxa — what is held by everyone, or by the wiseAristotle, Topics I.1, 100a25–100b23. Dialectic is therefore not a weaker demonstration but a different instrument, useful for training, for conversation, and for the sciences — since it can examine the first principles of a science, which that science itself cannot demonstrate.. This makes dialectic the instrument for examining first principles, which no science can demonstrate from within itself. In Plato's Republic VI–VII the term carries a stronger sense again: the ascent through hypotheses to an unhypothetical starting point. The medieval disputatio formalised the method for teaching, and Abelard's Sic et Non (c. 1120) set contradictory authorities side by side without resolving them, as an exercise.

Hegel, and the formula he did not use

Hegel's dialectic is not a debating method but a claim about how thought and history move: a determinate concept generates its own negation, and the conflict is resolved in a further concept that both cancels and preserves what came before — Aufhebung, which carries all three senses at once. The thesis-antithesis-synthesis formula is not hisWalter Kaufmann (1965), Hegel: A Reinterpretation, documented the misattribution: the triad comes through Fichte and was fixed in the textbook tradition by Heinrich Moritz Chalybäus in 1837. Hegel uses the three words together in only one place, and there he is describing Kant.. Marx retained the movement and rejected the idealism, writing in the 1873 postface to Capital that with Hegel the dialectic is standing on its head and must be turned right way up. Adorno (1966) refused the third moment altogether: a negative dialectics that declines to resolve, on the grounds that synthesis is where the violence enters.

The objections

Karl Popper (1940) made the decisive logical objection. If a dialectical account tolerates genuine contradictions, it is catastrophic, because from a contradiction anything whatever followsPopper, K. (1940). 'What Is Dialectic?' Mind 49(196). The principle is ex contradictione quodlibet: from p and not-p, any proposition q can be derived. A theory that admits contradictions therefore excludes nothing, and so asserts nothing. — a theory that admits contradictions rules nothing out and therefore says nothing. If instead the 'contradictions' are merely tensions or opposed tendencies, the dialectic is a suggestive vocabulary rather than a logic, and its results have to be argued for in the ordinary way. Defenders reply that Hegelian contradiction is not formal negation; the dispute over whether that reply is substantive or evasive is unresolved.

The second objection is practical. Dialectical narration is extremely good at making any sequence of events look necessary after it has happened, and offers little purchase on what will happen next. Its retrospective power is exactly what should make one suspicious of its predictive claims.

What it rules out

It rules out treating your first formulation as the candidate to defend — in the Socratic method the opening definition is material to be destroyed. It rules out Hegel read through the triad. And on Popper's argument it rules out using contradiction as a positive explanatory device while still claiming to exclude anything.

It does not rule out the practice. Structured opposition remains the cheapest known method for finding the weakness in a position, and its value does not depend on any of the metaphysics.

Sources

Abelard, P. (c. 1120). Sic et Non. · Adorno, T. (1966). Negative Dialektik. Suhrkamp. · Aristotle. Topics I.1. · Hegel, G. W. F. (1807). Phänomenologie des Geistes; (1812–16). Wissenschaft der Logik. · Kaufmann, W. (1965). Hegel: A Reinterpretation. Doubleday. · Marx, K. (1873). Postface to the second edition of Das Kapital I. · Plato. Republic VI–VII; Euthyphro; Meno. · Popper, K. (1940). 'What Is Dialectic?' Mind 49(196).