Aufheben is an ordinary German verb meaning to cancel, to preserve, and to lift up. Hegel noticed that a word could mean all three at once and took it as a gift, because the movement he needed to describe does all three at once.

The translations — sublate, supersede — are coinages that carry none of this, which is why the German is usually left alone.

So far, so quotable. The hard question is the one the definition hides: what does it actually mean for a defeated position to be preserved inside the position that defeated it?

Preserved as what

Take an argument you used to hold and no longer do.

If you simply stopped believing it, nothing was preserved. That is replacement, and it is what most changes of mind are.

If you still hold it and have added something, nothing was canceled. That is accumulation.

The third case is the interesting one, and it is recognizable once described. You no longer hold the old position, and you cannot go back to the state of not having held it either. The thing it was responding to is still real; you now see what it was tracking and why it took the form it did; and your present view has a shape it would not have had if you had never held the old one. The old position survives as the reason the new one has to be as complicated as it is.

That is what preserved as a moment means. Not retained as a belief. Retained as a demand the new position has to meet.

This is why a synthesis is not a compromise. A compromise is a point between two positions and is available without going through anything; you could have started there. A supersession is only reachable through the collision, and it usually surprises both original parties, because neither of them was aiming at it.

Why it needs the collision

The reason the route matters is that the new position is defined by what it has to account for, and the list of what it has to account for is exactly what the failure of the old position revealed.

Dialectic shows the canonical illustration — pure being collapsing into pure nothing, and the collapse turning out to be the content of becoming. The point to add here is what happened to being. It was not refuted and discarded. Becoming is unintelligible without it: being is what becoming is coming from, and nothing is what it is coming to. Both are still doing work inside the concept that replaced them, and neither can any longer be thought on its own.

A position that could be dropped without leaving a trace was never superseded. It was just abandoned, and calling that Aufhebung is the commonest misuse of the word.

Marx's version

Marx takes the operation and applies it to arrangements rather than concepts, and the shape is unmistakable.

Capitalism, on his account, develops productive forces to an extraordinary degree and organizes labor socially, while holding ownership privately. The contradiction is internal — the more social production becomes, the stranger private ownership looks — and it drives toward a form in which what capitalism achieved is kept and what was contradictory in it is gone.

Notice that this is not destruction. The developed productive forces are the thing being preserved; that is the whole reason Marx thought the sequence ran through capitalism rather than around it. Whether the prediction held is a separate question from whether the analysis has the structure described here, and it does. See alienation for what the same transposition does to Hegel's account of work.

Adorno's refusal

Adorno spent a book arguing that the final step should not be taken.

Negative Dialectics (1966) accepts the movement and rejects the resolution. His claim is that in a society that is actually damaged, a philosophy which reconciles every contradiction at a higher level performs on paper a harmony that does not exist anywhere else, and thereby helps the damage pass unnoticed. The contradiction should be held open, because holding it open is the only honest thing available.

That position is intelligible only once you see what Aufhebung is supposed to do. It is not a complaint that Hegel is difficult or optimistic. It is a refusal of the specific move in which the loser is preserved, on the ground that being preserved in a higher synthesis is the most complete way of being disposed of.

What to take from it

The useful form is a test you can apply to any change of mind, your own included.

Ask what happened to the position you left. If you cannot say what it was right about, you did not supersede it — you swapped it, and the thing it was tracking is still out there unaccounted for. If you can say exactly what it was right about and why your present view has to be shaped the way it is in order to hold onto that, then something was preserved, and the new position is load-bearing in a way the old one was not.