Topics in Philosophy of Mathematical Practice

Topics in Philosophy of Mathematical Practice

Course dates:
10 August, 2020 to 21 August, 2020
Fee:
EU/EEA citizens 6375 DKK/Non-EU/EEA citizens 10000 DKK
Fee advantages:
Full fee
Topics:
Engineering & Sciences, Multidisciplinary
Application deadline:
Wednesday, 1 April, 2020
University:
University of Copenhagen
Copenhagen, Denmark

General information

This highly interactive summer school offers students from mathematics and philosophy of mathematics the opportunity 1) to gain knowledge about the central topics in the philosophy of mathematical practice and 2) to gain the basic skills needed in order to practice empirically informed philosophy of mathematical practice themselves.

The course will be organized in two parts, a four-week online part (25 hours per week) and a two week on-campus part (full time).

The online part will include reading of research papers, online discussion of topics raised in the papers, online collaboration and supervision in developing problem formulations for final products. The material will primarily be centered on the following four themes from contemporary philosophy of mathematical practice:

The role of diagrams in mathematical practice
Proofs as vehicles of communication in mathematical practice
Experimental aspects of mathematical practice
Formal aspects of mathematical practice
Furthermore, the students will familiarize themselves with basic theories of empirical data collection during the online part of the course.

The on-campus part will consist of the following three elements:

Lectures following up on the four themes in philosophy of mathematical practice covered in the on-line part.
Workshops on empirical data collection.
Practical work preparing an empirically informed product in the philosophy of mathematical practice (such as an essay informed by data from e.g. qualitative interviews, a questionnaire or corpus analysis performed by the student).

Students will receive group supervision on their product during the on-campus part of the course.

After following the course students should have the following skills, knowledge and competences:

Skills

The students should be able to collect and analyze empirical material

Knowledge

The students should be able to account for central topics in the philosophy of mathematical practice.

Competences

The students should be able to:

Reflect on the strengths and limitations of empirical methods.
Discuss and reflect on central topics in philosophy of mathematical practice.
Produce empirically informed written products in the area of philosophy of mathematics.

Accommodation

Please note that the summer courses are non-residential. Participants are responsible for finding and funding accommodation during their stay in Copenhagen.

You can use different online portals to search for accommodation, such as:

Airbnb
Danhostel
Hostel World

UCPH Housing Foundation (acceptance letter from UCPH required).

Registration

https://www.science.ku.dk/english/courses-and-programmes/other-study-opp...

ECTS accreditation

Master level

7,5 ECTS