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Sets and infinity

Course
LOG020
Bachelor’s level
5 credits (ECTS)

Summary

Discover the foundation of all mathematics — and the ideas that changed how we think about infinity!

About

This course takes you on a journey through naive set theory, the core framework behind modern mathematics. You’ll explore how simple concepts like “sets” can explain everything from arithmetic to advanced analysis — and how they reveal the true nature of infinity.

Along the way, you’ll dive into the philosophical roots and historical breakthroughs that shaped mathematical thought, and tackle famous logical puzzles such as Russell’s paradox.

By the end, you’ll see mathematics from a whole new perspective — not just as numbers and equations, but as a beautifully structured system built on pure logic and imagination.

Prerequisites and selection

Entry requirements

Successful completion of at least 7.5 credits in logic or mathematics, or the equivalent.

Facilities

The teaching takes place online.

More information about facilities

The course is mainly taught by means of lectures, seminars, workshops and project work (or equivalent).