Set theory and metamathematics
The course covers the core of modern set theory, and independence results in set theory and proof theory.
Detailed description: Axioms of Zermelo–Fränkel set theory (ZF). Ordinals, well-orderings, and cardinal arithmetic. Independence of the axiom of choice and the continuum hypothesis: permutation models, forcing, and (optional) Gödel’s constructible universe. Gödel’s second incompleteness theorem. Sequent calculus, cut-elimination and normalisation. Gentzen’s consistency proof for Peano arithmetic. Interpretation and consequences of independence results.
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Course structure
The course consists of one element.
Teaching format
Instruction consists of lectures and exercises.
Assessment
Assessment takes place through written exam and oral exam.
Examiner
A list of examiners can be found on
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Schedule
The schedule will be available no later than one month before the start of the course. We do not recommend print-outs as changes can occur. At the start of the course, your department will advise where you can find your schedule during the course. -
Course literature
Note that the course literature can be changed up to two months before the start of the course.
K. Kunen, Set Theory, 1980, North-Holland Publishing
A.S. Troelstra, H. Schwichtenberg, Basic proof theory (2nd ed.), 2000, Cambridge University Press
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Course reports
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More information
New student
During your studiesCourse web
We do not use Athena, you can find our course webpages on kurser.math.su.se.
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