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Hegelian dialectic, usually presented in a threefold manner, was stated by Heinrich Moritz Chalybäus as comprising three dialectical stages of development: a thesis, giving rise to its reaction, an antithesis, which contradicts or negates the thesis, and the tension between the two being resolved by means of a synthesis. In more simplistic terms, one can consider it thus; problem->reaction->solution. Although this model is often named after Hegel, he himself never used that specific formulation. Hegel ascribed that terminology to Kant. Carrying on Kant's work, Fichte greatly elaborated on the synthesis model, and popularized it.
On the other hand, Hegel did use a three-valued logical model that is very similar to the antithesis model, but Hegel's most usual terms were: Abstract-Negative-Concrete. Hegel used this writing model as a backbone to accompany his points in many of his works.
The formula, thesis-antithesis-synthesis, does not explain why the thesis requires an antithesis. However, the formula, abstract-negative-concrete, suggests a flaw, or perhaps an incomplete-ness, in any initial thesis—it is too abstract and lacks the negative of trial, error, and experience. For Hegel, the concrete, the synthesis, the absolute, must always pass through the phase of the negative, in the journey to completion, that is, mediation. This is the essence of what is popularly called Hegelian Dialectics.
According to the German philosopher Walter Kaufmann:
"Fichte introduced into German philosophy the three-step of thesis, antithesis, and synthesis, using these three terms. Schelling took up this terminology. Hegel did not. He never once used these three terms together to designate three stages in an argument or account in any of his books. And they do not help us understand his Phenomenology, his Logic, or his philosophy of history; they impede any open-minded comprehension of what he does by forcing it into a scheme which was available to him and which he deliberately spurned [...] The mechanical formalism [...] Hegel derides expressly and at some length in the preface to the Phenomenology.