EDUCATION FACULTY / ELEMENTARY MATHEMATICS EDUCATION / IMZ4004 - PHILOSOPHY OF MATHEMATIC

Contents Of The Courses in a weekly Period

Week 
Subjects 
Sources 
1Discussing the nature of mathematics through the question "What is mathematics?" 
2Origin and historical development of mathematics 
3Classical-Modern Mathematics Distinction 
4Mathematical thinking structure 
5The relationship between philosophy and philosophy of education 
6Philosophy schools and social groups 
7Mathematical precision 
8Midterm exam 
9Depressions and paradoxes in mathematics 
10Axiomatic method 
11Concept of proof and types of proof 
12Theoretical-applied mathematics distinction 
13Mathematics-science-culture-art relationship 
14Approaches to philosophy of mathematics: Logicism, Formalism, Structuralism and Intuitionism 
15The work of Frege, Russell, Hilbert, Brouwer, and Gödel 
16Final exam