IS MATHEMATICS A UNIVERSAL METHOD FOR SOLVING PROBLEMS?
Vladimir Moiseevich Reznikov1,2
1Institute of Philosophy and Law, SB RAS, 8, Nikolaev st. Novosibirsk, 630090
2Novosibirsk National Research State University, 2, Pirogov st., Novosibirsk, 630090, Russia
Keywords: математика, репрезентация знания, точность, логика, прикладная математика, требования к применению математики, Аристотель, Галилей, Кант, Блехман, Мышкис, Пановко, mathematics, knowledge representation, precision, logic, applied mathematics, application requirements for mathematics, Aristotle, Galileo, Kant, Blekhman, Myshkis, Panovko
Abstract
The article shows that the formalization method is not universal. First, mathematization gives no way to answer a number of questions, for example those related to the essence of knowledge. Second, mathematics is quite valid for representing knowledge in the field of exact science, but it is less adequate for humanities. Third, not all mathematical disciplines are used in applications; it is rather the task of applied mathematics. Fourth, even in applied mathematics, not all its fields have a universal application.
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