Mathematical Symbolization: Specificity and Implementation

In this article the philosophy of mathematics issues related to the procedure of mathematical symbolization are studied on the basis of phenomenon of implicit knowledge. The specificity of mathematical symbolization and conditions of its implementation, defines the role of mathematical symbolization in the development of mathematics. The author believes that the results can justify the thesis that the basis of mathematical symbolization is a priori epistemological “foundation”. The author believes that the conclusions of the article significantly limit the prospects of the popular contemporary philosophy of science epistemological relativism in the philosophy of mathematics, as well as in the theory of knowledge in general. Further studies on the role of implicit knowledge in the development of mathematics, according to the author, should contribute to the strengthening and further spread of a similar approach in the theory of knowledge.