Set theory

About this programme

No fees are charged for EU and EEA citizens, Swedish residence permit holders and exchange students. The course treats Zermelo-Fraenkel set theory, ZFC, formulated in first-order logic, beginning with a set theoretical construction of the natural and real number systems. Ordinal and cardinal numbers are presented and strong emphasis is placed on the cumulative hierarchy and on the role of the axiom of choice in the axiomatization of the concept of set. Explore the fundamental language of mathematics with this course in set theory—an essential area of logic that underpins modern mathematical thinking. You’ll learn how mathematical objects are built from simple axioms and gain insight into key concepts such as number systems, cardinal and ordinal arithmetic, and the structure of sets. The course also places set theory in a broader logical and historical context, helping you understand its role within mathematics. Along the way, you will develop strong skills in constructing rigorous proofs, solving abstract problems, and analysing mathematical results critically. - at least 60 credits in total in the subject areas mathematics, logic, computer science or formal linguistics, or - at least 90 credits in philosophy or linguistics, and at least 30 credits in total in the subject areas mathematics, logic, computer science or formal linguistics, Selection is based upon the number of credits from previous university studies, maximum 165 credits. The Faculty of Humanities is located in the Humanisten building at Renströmsgatan 6. The Department of Philosophy, Linguistics and Th