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Lecturer(s)
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Piskač Tomáš, prof. RNDr. DSc.
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Course content
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1. The axioms of the Zermelo-Fraenkel set theory. 2. Relations, mappings, orders. 3. Natural numbers, a construction of the real numbers. 4. Finite sets. 5. Well-orderings. 6. Ordinals. 7. Cardinality of sets. 8. Cardinals. 9. The axiom of choice.
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Learning activities and teaching methods
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Lecture
- Preparation for an examination (30-60)
- 32 hours per semester
- Contact hours
- 52 hours per semester
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| prerequisite |
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| Knowledge |
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| In view of the axiomatic treatment of set theory, the completion of An Introduction to Mathematical Logic (KMA/ML) may be an advantage for those taking up this course. |
| learning outcomes |
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| Upon completion of this course, students will acquire basic orientation in the subject and become capable of independent study of the literature. |
| teaching methods |
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| Lecture |
| assessment methods |
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| Oral exam |
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Recommended literature
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Balcar, Bohuslav; Štěpánek, Petr. Teorie množin. 2., opr. a rozš. vyd. Praha : Academia, 2001. ISBN 80-200-0470-X.
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Fuchs, Eduard. Teorie množin pro učitele. Vyd. 1. Brno : Přírodovědecká fakulta Masarykovy univerzity, 1999. ISBN 80-210-2201-9.
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Vopěnka P., Blažek J., Kussová B. Úvod do axiomatické teorie množin. UK SPN Praha, 1972.
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