The foundations of quantum mechanics are haunted by the notorious “measurement problem” and the consequent indeterminism of the measurement outcomes. I will show that it is in fact an instance of the experiment paradox lurking in the very core of the scientific method. Concretely, any experiment performed on a physical system is—by necessity—invasive and thus establishes inevitable limits to the accuracy of any mathematical model. In consequence, the foundations of natural sciences turn out to face similar limiting problems as the foundations of mathematics. In particular, the “random” events at the experimental input play a similar role as the axioms in mathematics. The experiment paradox suggests that the classical logic is unable to provide a unified picture of natural phenomena. The talk is based on a recent preprint with Pawel Horodecki: https://arxiv.org/abs/1904.04117.
Krakow Methodological Conference: 2019 is financed from the funds of the Minister of Science and Higher Education allocated to the dissemination of science [761/P-DUN/2019].
Krakow Methodological Conference: 2019 - zadanie finansowane w ramach umowy 761/P-DUN/2019 ze środków Ministra Nauki i Szkolnictwa Wyższego przeznaczonych na działalność upowszechniającą naukę.
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