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Lecturer(s)
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Zdráhal Tomáš, doc. RNDr. CSc.
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Course content
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Set construction, the universal set. Class theory Language of class theory, class equality, formulas representation by classes, operations on classes. RElations and order. Transformations. Equivalence and subvalence classes. Set theory The basic axioms for set. Equivalence and isomorphism of sets. Finite set of well-ordered sets. Natural numbers Cardinal numbers Ordinal numbers Axiom of choice, Zermel theorem, the continuum hypothesis.
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Learning activities and teaching methods
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Lecture
- Homework for Teaching
- 80 hours per semester
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Learning outcomes
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The aim is to better understand to problems associated with the notation of set.
Students will be able to understand the abstraction of set terms.
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Prerequisites
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Active knowledge of the foundations of set theory to the extent the teaching of mathematics for 2nd grade of primary school.
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Assessment methods and criteria
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Student performance, Dialog
Credit will be awarded if the compulsory consultation of the last student in the test can solve at least 1 of the 3 given exercises - these are formulated at the end of each chapter textbook J.: Vojtášková B.: Theory of sets. It is therefore recommended that you forward to solve all the exercises, the test will be possible to use this custom solution - but it will be demonstrated active understanding summoned solutions! It will also be necessary to demonstrate a basic knowledge of substances (in particular definitions and theorems (without proof)) in the range of the whole textbook.
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Recommended literature
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BLAŽEK J., VOJTÁŠKOVÁ B. (1994). Teorie množin. Ústí nad Labem.
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