Synthesising the results of the previous posts, we can say that TENET is a film about an apprenticeship in « dialectical » thought: encountering anomalies, seeing things inverted, moving in strange loops, in double mutually inverted loops, in double loops converging on point of suture or of de-suture, from multiple intersecting causal loops to speculative quasi-causality.
Thinking about the film we may use Zizek to explain TENET, or TENET to explain Zizek (iterated inversions), or both to examine our contemporary world or our own mode of philosophising (textual pincer). These are basic moves of thought, and belong to no one.
We can proceed on an idea that we did not know we have, and that we will only really have later, an idea that we perceive in present anomalies, cryptic words and gestures, strange loops of thought that we dimly feel before we come to understand.
This is the lesson of incommensurability: if our future thought were to be explained to us now in our own terms and we could understand it we would never make a true leap, it would seem to be just more of the same, only perhaps more efficient.
Inversion, turning things on their head or into their opposites, is not the only answer to the problem of the present, nor is it always the best, or even the most innovative. It may be a useful but preliminary move, needing to be supplemented by further, more subtle or more complex steps.
The future is always already trying to eliminate us by dogmatic, axiomatic, and now by algorithmic means, but we need not cling to our simplistic ideologies. Elimination as a technique is a form of simple linear inversion.
The eliminativist solution to the grandfather paradox is to make it systematic: kill all the grandfathers and invert their world, and all will be well!
The ideology of eliminative materialism whether in politics (neoliberalism), art (death of art) or in science (radical physicalist reductionism) is just as simplistic as folk politics and folk psychology.
Wholesale inversion or elimination do not constitute a viable alternative. They are too linear, they miss the loops.