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Philosophy of Sciences

2016 year, number 3

ON PROBLEM OF UNDERSTANDING SCIENTIFIC THEORIES ON THE BASIS OF THEIR APPLICATION

V.M. Reznikov
Institute of Philosophy and Law SB RAS, 8, Nikolaeva st., Novosibirsk, 630090, Russia
Keywords: дедуктивно-номологическая схема, общие законы, неявное знание, применимость математики, теория, модель, объяснение, понимание, теория вероятностей, Гемпель, Колмогоров, Райл, де Регт, deductive-nomological model, general laws, implicit knowledge, applicability of mathematics, theory, model, explanation, understanding, probability theory, Hempel, Kolmogorov, Ryle, de Regt

Abstract

In the deductive - nomological formalization of Hempel the explanations of studied phenomena are grounded on the laws of nature, but understanding of phenomena is connected with obtaining explanations. In contemporary philosophy of science researchers believe that the explanation of phenomena under study is based on using the models of the theory which is intelligible to the users of this theory. The application of a lot of formal theories and their models is not a simple task, since the formal techniques are intended for studying abstract mathematical objects rather than real data. Hence, formulating the conditions under which formal theories and their models can be correctly applied for the analysis of real phenomena and real data becomes topical. The article presents a formulation of some conditions of applying the probability theory and the parametric statistical analysis on the basis of the notion introduced by the author - the base property of the objects of mathematical theory.