PHILOSOPHICAL AND METHODOLOGICAL APPROACHES TO PROBLEM OF MATHEMATICS APPLICATION
Vladimir Moiseevich Reznikov1,2
1Novosibirsk National Research State University, 2, Pirogov st., Novosibirsk, 630090, Russia
2Institute of Philosophy and Law, SB RAS, 8, Nikolaev st. Novosibirsk, 630090
Keywords: наука, адекватность математического аппарата, проблема корректного применения математики, теория, модель, математический платонизм, эмпиризм, философская критика, Хинтикка, Эбботт, Шейфер, science, adequacy of mathematics, tools, the problem of the correct use of mathematics, theory, model, mathematical Platonism, empiricism, philosophical criticism, Hintikka, Abbott, Shafer
Abstract
The article presents the scientific community’s critical arguments against the value of philosophical research. The criticism is caused by the fast that philosophical work deals only with classical problems of science, while modern topical problems slip through the net. By the example of the topical problem of the correct use of mathematics, the article formulates some explanations of the significance of philosophical research for science; it presents a pragmatic grounding for the function of philosophers of science in scientific research and offers some recommendations concerning the description of conditions of applying mathematics.
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