Information Package / Course Catalogue
Philosophy of Mathematics
Course Code: İMÖ452
Course Type: Required
Couse Group: First Cycle (Bachelor's Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 2
Prt.: 0
Credit: 2
Lab: 0
ECTS: 3
Objectives of the Course

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.

Course Content

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.

Name of Lecturer(s)
Lec. Müjdat AĞCAYAZI
Learning Outcomes
1. 1. Have an idea about the ontology and epistemology of mathematics.
2.2. Evaluates some mathematical objects such as numbers, sets, functions in terms of their meaning.
3.3.Considers philosophical problems related to the nature of mathematics.
4.4. Realizes the importance of the basic theories of mathematical philosophy in terms of the development of mathematics.
5.5. Have knowledge about the work of the pioneers of the philosophy of mathematics, interpret the work.
6. Establish the relationship between mathematics philosophy and mathematics education.
Recommended or Required Reading
Weekly Detailed Course Contents
Week 1 - Theoretical
Ontology and epistemology of mathematics.
Week 2 - Theoretical
Meanings of mathematical concepts, propositions and mathematical expressions.
Week 3 - Theoretical
Fundamentals and methods of mathematics.
Week 4 - Theoretical
Philosophical problems related to the nature of mathematics.
Week 5 - Theoretical
Objectivity in mathematics and its applicability to the real world.
Week 6 - Theoretical
The place of mathematics in science.
Week 7 - Theoretical
Proof methods of mathematics.
Week 8 - Theoretical
Philosophical views on the basics of mathematics (Midterm)
Week 9 - Theoretical
Frege, Russel, Hilbert, Brouwer and Gödel.
Week 10 - Theoretical
Flatness and size concept.
Week 11 - Theoretical
Logic, formalism and intuitionism.
Week 12 - Theoretical
Semi-experimentalists and Lakatos.
Week 13 - Theoretical
The effect of mathematical philosophy on mathematics education.
Week 14 - Theoretical
Social groups in mathematics education.
Assessment Methods and Criteria
Type of AssessmentCountPercent
Midterm Examination1%40
Final Examination1%60
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory142256
Assignment2216
Midterm Examination1415
Final Examination1718
TOTAL WORKLOAD (hours)75
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
PÇ-10
PÇ-11
PÇ-12
PÇ-13
OÇ-1
4
3
2
2
3
2
3
3
3
OÇ-2
4
3
2
3
3
2
3
3
3
OÇ-3
4
3
2
2
2
2
3
3
3
OÇ-4
4
3
2
2
2
2
3
3
3
OÇ-5
4
2
2
2
2
2
3
3
3
OÇ-6
4
4
2
2
2
2
3
3
3
Adnan Menderes University - Information Package / Course Catalogue
2026