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Axiomatische verzamelingentheorie (Axiomatic Set Theory)

Studiegidsnummer
5122AXVE6Y
Admin. code
OWIN
Studielast
6
Studiejaar
Jaar 3 bachelor wiskunde (also possible as mastercourse),  jaar 3 dubbele bachelor wis- en natuurkunde,  jaar 3 dubbele bachelor wiskunde en informatica.
Periode(n)
Semester 2 blok 2, voertaal Engels Zie ook
Onderwijsinstituut
College of Science domein Exacte Wetenschappen
Docent(en)
prof.dr. B. Löwe (coördinator)
Onderdeel van

Leerdoelen

Understanding of the connections between logic and set theory, in particular the axiomatic approach. Skillful handling of ordinals and cardinals, in particular the methods of transfinite induction and recursion.

Inhoud

Axioms of Set Theory, Set Theory as a Foundations of Mathematics, Ordinal Numbers, Cardinal Numbers, Axiom of Choice. Possibly basics of some additional topics such as set theory of the reals, descriptive set theory, and large cardinals.

Aanbevolen voorkennis

Mathematical maturity, decent understanding of first-order logic.

Aanmelden

Registration via https://www.sis.uva.nl is mandatory four weeks before the start of the Semester.

Onderwijsvorm

Lectures, the course is taught in English.

Studiemateriaal

Herbert B. Enderton, 'Elements of Set Theory', Academic Press.

Toetsvorm

Regular homework (50%) and classroom exam (50%).