Course Syllabus for

Applied Epistemology of Mathematics
Praktisk kunskapsteori för matematik

FMAP01F, 7.5 credits

Valid from: Autumn 2022
Decided by: Professor Thomas Johansson
Date of establishment: 2022-06-14

General Information

Division: Mathematics
Course type: Course given jointly for second and third cycle
The course is also given at second-cycle level with course codes: FMAP01, TFRP80
Teaching language: English


The course aims to give students an introduction to the philosophy of mathematics from a practical perspective, and to make students aware of some important questions concerning the culture of mathematics, such as good scientific practice, reproducibility and diversity.


Knowledge and Understanding

For a passing grade the doctoral student must

Competences and Skills

For a passing grade the doctoral student must

Judgement and Approach

For a passing grade the doctoral student must

Course Contents

The course introduces elements of 1. the philosophy of science and its application to mathematics, engineering mathematics and engineering physics 2. the history and philosophy of mathematics 3. research on diversity and equal opportunities. It discusses some questions concerning good scientific culture practice in mathematics. This includes questions about reproducibility and diversity.

Course Literature

Thomas Kuhn: The structure of scientific revolutions. 1966. There are many editions of this book, e.g. ISBN 9780226458120 from University of Chigaco Press 2012. A. Rodin: Axiomatic Architecture of Scientific Theories, Habilitation Thesis, S:t Petersburg University. 2020. Available at N. Vavilov: Reshaping the metaphor of proof. 2019. Published in Philosophical Transactions of the Royal Society, vol 377, no 2140. (18 pages). Maria Chionidou-Moskofoglou (editor): Promoting Equity in Maths Achievement. , The Current Discussion:selected contributions from the proceedings of the Barcelona (25 January, 07) and the Paris (25 April, 07) Workshops. Publicacions i Edicions Universitat de Barcelona, 2008, ISBN: 978-84-475-3225-4.

Instruction Details

Types of instruction: Lectures, seminars

Examination Details

Examination formats: Written report, seminars given by participants. Written project, oral presentation.
Grading scale: Failed, pass

Admission Details

Admission requirements: FMAF01 Mathematics - Analytic Functions and FMAN55 Applied Mathematics and FMSF80 Mathematical Statistics, Basic Course and one of EITF85 Electromagnetic Field Theory or ETEF01 Electromagnetic Field Theory
Assumed prior knowledge: Assumed prior knowledge: Some experience of academic writing within mathematics or the natural sciences, for instance, reports or essays.

Course Occasion Information

Contact and Other Information

Course coordinators:
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