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MAT 507 - Mathematical Thinking and Reasoning

Graduate Education Institute · Mathematics Education · Master

ECTS: 7.5 T+P+L: 3+0+0 Departmental Elective
Coordinator:

Course Objective

To introduce the approaches to philosophy of mathematics and learn the axiomatic approach to philosophy in mathematics.

Course Content

Ontology and epistemology of mathematics.Proposition and meanings of some mathematical expressions. Foundations of mathematics, methods and philosophical problems on mathematics. Objectivity in Mathematics and applying to real life. Studies of Frege, Russel, Hilbert, Brouwer, and Gödel. Basic theories in mathematics philosophy: Logisicm, Formalism, Structuralism and Intuitionism.

Core Area Distribution

(14) Teacher Training and Education Science%30 (22) Humanities%40 (44) Physical Sciences%10 (46) Mathematics and Statistics%20