A specific situation arises when something is intentionally left unfinished, or when we ourselves create an apparent falsehood. Humans generally do not cope well with such a position of thought. The very fact of incompleteness provokes responses that begin to operate recursively — they modify not only the question, but also the original answer.
Often such an apparent “error” grows beyond the moment in which it appears and is treated as a mistake or as something unconscious. Yet the later significance of this seemingly incorrect element within a system can be radical.
An example can be found in 1917, when Albert Einstein was working on the theory of general relativity. His equations suggested that the universe should either expand or contract. This result seemed strange, because according to the assumptions of the time the universe was expected to be static. Einstein resolved this by introducing an additional parameter — the cosmological constant, Lambda. In fact, the mathematics already allowed the dynamic nature of the universe to be inferred, but it was only in 1929 that Edwin Hubble observationally confirmed that the universe is expanding. Einstein later considered the cosmological constant to be a mistake, not realizing that this parameter would later become essential for explaining the accelerated expansion of the universe. This phenomenon — today interpreted as dark energy — was only described at the end of the twentieth century.
A similar situation occurred in 1928 when Paul Dirac formulated the equation describing the electron. A problem appeared because the equation had two solutions. One corresponded to the expected physical interpretation, while the other appeared anomalous, describing a particle with an opposite charge. Dirac initially treated this as a purely mathematical issue and left it within the theory. Only a few years later the positron — the anti-electron — was experimentally discovered.
In both cases, one could say that the system was working with a certain element of the unknown. In both situations this element was initially marginalized. Yet it later proved to be crucial for the further development of the theory.
What is also interesting is that the strategies differed. Einstein adopted the approach that if something does not fit the model, the theory should be corrected. Dirac, on the other hand, when encountering an anomaly, allowed it to remain within the system and waited to see what would emerge.
One could say that in neither case was there a fully conscious engagement with the unknown. And yet, as history later showed, it was precisely such elements that could become the most productive within the system.