PřF:M4150 Set Theory - Course Information
M4150 Set Theory
Faculty of ScienceAutumn 2008
- Extent and Intensity
- 2/0/0. 2 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
- Teacher(s)
- doc. RNDr. Eduard Fuchs, CSc. (lecturer)
- Guaranteed by
- doc. RNDr. Eduard Fuchs, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science - Timetable
- Wed 8:00–9:50 M5,01013
- Prerequisites (in Czech)
- M1555 Combinatorics && ! M4155 Set Theory && ( M1120 Fundamentals of Mathematics || M3501 Mathematical Analysis 3 )
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Upper Secondary School Teacher Training in Mathematics (programme PřF, M-MA)
- Upper Secondary School Teacher Training in Mathematics (programme PřF, N-MA)
- Course objectives
- First course of set theory. Cardinal andcordinal numbers, transfinite induction.
- Syllabus
- Problems of infinity in mathematics. Origins of set theory and its impact on the 20th century mathematics. Construction of natural and real numbers in set theory. Cardinal and ordinal numbers: ordering and arithmetics of cardinal numbers, arithmetics of ordered sets, ordinal types and their arithmetics, well-ordering sets, ordinal numbers, transfinite induction. Axiom of choice and equivalent theorems.
- Literature
- FUCHS, Eduard. Teorie množin pro učitele. 1st ed. Brno: Masarykova univerzita, 1999. info
- FUCHS, Eduard. Základy teorie množin. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1986, 146 s. info
- FUCHS, Eduard. Logika a teorie množin : (úvod do oboru). Vyd. 1. Brno: Rektorát UJEP, 1978, 175 s. info
- TARSKI, Alfred. Úvod do logiky a metodologie deduktivních věd. Translated by Pavel Materna. Vyd. 1. Praha: Academia, 1966, 245 s. URL info
- Assessment methods
- Oral exam
- Language of instruction
- Czech
- Follow-Up Courses
- Further Comments
- The course is taught annually.
- Enrolment Statistics (Autumn 2008, recent)
- Permalink: https://is.muni.cz/course/sci/autumn2008/M4150