Introduction to set theory
No fees are charged for EU and EEA citizens, Swedish residence permit holders and exchange students.
About
The course treats Zermelo-Fraenkel's set theory, ZF, formulated in first-order logic, and takes its starting point in the set theoretical construction of the natural numbers and how set theory can constitute a foundation for mathematics. Furthermore, properties of infinite sets are treated, with a focus on cardinality and properties of well-orderings. The cumulative hierarchy is discussed as well as the role of the axiom of choice in the axiomatisation of the concept of set.
The is a web-based course. Recorded lectures are made available during the course and followed up by quizzes in the form of digital tests.
Prerequisites and selection
Requirements
General entrance requirements
Selection
Selection is based upon average grade from upper secondary school (34 %), the number of credits from previous university studies (33 %) and Högskoleprovet - Swedish Scholastic Aptitude Test (33 %).
For admission to the summer 2021 and onward the following selection applies: selection is based upon average grade from upper secondary school (34 %), the number of credits from previous university studies, maximum 165 credits (33 %) and Högskoleprovet - Swedish Scholastic Aptitude Test (33 %).