| Course title | Set Theory |
|---|---|
| Course code | KMI/PGSMN |
| Organizational form of instruction | Lecture |
| Level of course | Doctoral |
| Year of study | not specified |
| Semester | Winter and summer |
| Number of ECTS credits | 5 |
| Language of instruction | Czech, English |
| Status of course | unspecified |
| Form of instruction | Face-to-face |
| Work placements | This is not an internship |
| Recommended optional programme components | None |
| Lecturer(s) |
|---|
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| Course content |
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- Historical background, ramifications of set theory - Axioms of set theory ZF, basic properties, the axiom of choice. - Ordinal numbers, transfinite induction, ordinal arithmetic. - Cardinal numbers, cardinal arithmetic. - Axiom of regularity, cumulative hierarchy, well-foundedness. - Filters, ultrafilters, Boolean algebras. - Combinatorial properties of sets. - Models of set theory. - Selected further set theories.
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| Learning activities and teaching methods |
| unspecified |
| Learning outcomes |
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The students shall get acquainted with set theory.
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| Prerequisites |
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unspecified
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| Assessment methods and criteria |
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unspecified
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| Recommended literature |
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| Study plans that include the course |
| Faculty | Study plan (Version) | Category of Branch/Specialization | Recommended semester |
|---|