Variety and Opposition of Realism and Anti-Realism in the Philosophy of Mathematics.

Authors

  • V. A. BAZHANOV

Keywords:

realism, platonism, antirealism, nominalism in mathematics, triple determination of logico-mathematical objects

Abstract

This paper deals with ordering of various versions of mathematical realism (Platonism) and antirealism (nominalism) and vistas of synthesis of mathematical realism and antirealism in the form of emergence of ‘third’, medium line are outlined on the ground of triple determination idea of mathematical reality (mathematical objects).

Author Biography

  • V. A. BAZHANOV

    Заслуженный деятель науки РФ, доктор философских наук, профессор, действительный член Academie Internationale de Philosophie des Sciences, заведующий кафедрой философии Ульяновского государственного университета

Published

2020-04-12

Issue

No. 5 (2014)

Section

Philosophy and Science

How to Cite

[1]
2020. Variety and Opposition of Realism and Anti-Realism in the Philosophy of Mathematics. Voprosy Filosofii. 5 (Apr. 2020), 52–63.