To provide students with knowledge about ontology and epistemology of mathematics, to be aware of philosophical problems related to the nature of mathematics, to increase the awareness of mathematical philosophical pioneers and basic theories about mathematics philosophy.

Ontology and epistemology of mathematics. Numbers, sets, functions etc. mathematical concepts and proposition and the meaning of mathematical expressions. Fundamentals of mathematics, methods and philosophical problems related to the nature of mathematics, objectivity in mathematics and applicability to the real world. Frege, Russel, Hilbert, Brouwer and Gödel. The concept of flatness and dimension, basic theories of mathematics philosophy (Logisicm), formalism and intuitionism, semi-experimentalists and Lakatos. The relationship between mathematics philosophy and mathematics education. Social groups in the philosophy of mathematics education.