COURNOT’S PRINCIPLE CONNECTING MATHEMATICS AND REALITY
Vladimir Moiseevich Reznikov
Institute of Philosophy and Law, Siberian Branch of the Russian Academy of Sciences, 8, Nikolaeva str., Novosibirsk, 630090, Russia
Keywords: вероятность, случайность, фальсификация гипотез, частотная интерпретация, субъективистская интерпретация, теорема Бернулли, probability, randomness, hypothesis falsification, frequency interpretation, subjective interpretation, Bernoulli theorem
Abstract
The author uses Cournot’s principle as an example to analyze the role of the principles connecting mathematics and reality. Cournot’s principle ensures verification of probabilities for the consequences of the tested hypothesis, using the hypothesis and data under study to deduce the consequences. If the values of these probabilities are less than a minimum permissible value, then the hypothesis is falsified. Therefore, the principle is important for hypothesis testing in mathematical statistics and Popper’s philosophy of science. The article demonstrates that Cournot's principle is not of probabilistic but rather probability-deterministic character.
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