The Heuristic Function of Mathematics in Physics and Astronomy |
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Authors: | Stojan Obradovi? Slobodan Ninkovi? |
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Institution: | (1) Institute of Mathematics, Warsaw University, ul. Banacha 2, Warsaw, 02097, Poland |
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Abstract: | This paper considers the role of mathematics in the process of acquiring new knowledge in physics and astronomy. The defining
of the notions of continuum and discreteness in mathematics and the natural sciences is examined. The basic forms of representing
the heuristic function of mathematics at theoretical and empirical levels of knowledge are studied: deducing consequences
from the axiomatic system of theory, the method of generating mathematical hypotheses, “pure” proofs for the existence of
objects and processes, mathematical modelling, the formation of mathematics on the basis of internal mathematical principles
and the mathematical theory of experiment. |
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Keywords: | |
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