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851-0125-65L 3 Credits DS , DR , MSC D-GESS

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A Sampler of Histories and Philosophies of Mathematics

Lecturers & Examiners: Prof. Dr. Roy Wagner

Particularly suitable for students D-CHAB, D-INFK, D-ITET, D-MATH, D-PHYS

VVZ CR 3.8

Last Updated: 2026-02-05 16:07:31

Abstract

This course will review several case studies from the ancient, medieval and modern history of mathematics. The case studies will be analyzed from various philosophical perspectives, while situating them in their historical and cultural contexts.

Objective

The course aims are: 1. To introduce students to the historicity of mathematics 2. To make sense of mathematical practices that appear unreasonable from a contemporary point of view 3. To develop critical reflection concerning the nature of mathematical objects 4. To introduce various theoretical approaches to the philosophy and history of mathematics 5. To open the students' horizons to the plurality of mathematical cultures and practices

General Information

Language: English
Levels: DS , DR , MSC
Frequency: Semesterly recurring

Examination

Type: graded semester performance

The course will require a weekly reading of around 20 pages and small weekly tasks. The final grade will be based on an the grades of some of these tasks. Presence in class is expected, and active contribution to class discussions may be rewarded in the final grade.

Registration & Places

Max Places: 150

Course Components

Type	Title	Time & Place	Hours
lecture	A Sampler of Histories and Philosophies of Mathematics	Mon 16:15-18:00 (HG E 1.1)	2 h weekly

Offered In

Science in Perspective (In “Science in Perspective”-courses students learn to reflect on ETH’s STEM subjects from the perspective of humanities, political and social sciences. Only the courses listed below will be recognized as "Science in Perspective" courses.)
- Type A: Enhancement of Reflection Competence (SiP courses are recommended for bachelor students after their first-year examination and for all master- or doctoral students. All SiP courses are listed in Type A. Courses listed under Type B are only recommendations for enrollment for specific departments.)
  - Philosophy
- Type B: Reflection About Subject-Specific Methods and Contents (Subject-specific courses. Particularly relevant for students interested in those subjects. All these courses are also listed under the category “Typ A”, and every student can enroll in these courses.)
  - D-CHAB
  - D-INFK
  - D-ITET
  - D-MATH
  - D-PHYS
History and Philosophy of Knowledge Master
- Basic Courses
  - Lectures and Exercises
Doctorate Humanities, Social and Political Sciences (More Information at: )
- Subject Specialisation