This course will follow Michèle Friend's book "pluralism in mathematics". It will survey various mainstream philosophies of mathematics, and suggest a pluralist integration.
Lernziel
The goal is to introduce students to mainstream philosophies of mathematics, allow them to critically examine common views about mathematics, develop their analytic skills by handling philosophical questions, and enable a pluralist approach to philosophical questions.
Inhalt
The course will examine realist, constructivist, structuralist and formalist philosophies of mathematics, and follow Friend in suggesting a pluralist approach that combines the various positions based on our agnosticism as to the best philosophy and a paraconsistent approach to philosophical logic. In this course we will learn the various positions, critically evaluate Friend's arguments, and consider the general merits and limitations of pluralist and paraconsistent philosophical approaches.
Kompetenzen
Fachspezifische Kompetenzen
Konzepte und Theorien
geprüft
Methodenspezifische Kompetenzen
Analytische Kompetenzen
geprüft
Persönliche Kompetenzen
Kritisches Denken
geprüft
Leistungskontrolle
Information zur Leistungskontrolle (gültig bis die Lerneinheit neu gelesen wird)
Repetition nur nach erneuter Belegung der Lerneinheit möglich.
Zusatzinformation zum Prüfungsmodus
The course will require a weekly reading of around 20 pages and regular mini-feedback task. 4-5 mini-essays will be submitted during the semester to show understanding of the material. There is no final exam or essay at the end of the semester. Presence in class is expected, and active participation in class discussion may be rewarded in the final grade.
Lernmaterialien
Keine öffentlichen Lernmaterialien verfügbar.
Es werden nur die öffentlichen Lernmaterialien aufgeführt.
Leistungskontrolle als Semesterkurs