PřF:M4150 Set Theory - Course Information
M4150 Set Theory
Faculty of Sciencespring 2018
- Extent and Intensity
- 2/0/0. 2 credit(s) (příf plus uk k 1 zk 2 plus 1 > 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
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science - Timetable
- Mon 10:00–11:50 M2,01021
- Prerequisites (in Czech)
- M7532 Foundations of mathematics
- 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, N-EB)
- Upper Secondary School Teacher Training in Mathematics (programme PřF, N-FY)
- Upper Secondary School Teacher Training in Mathematics (programme PřF, N-CH)
- Upper Secondary School Teacher Training in Mathematics (programme PřF, N-MA)
- Course objectives
- First course of set theory. Cardinal and ordinal 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
- Teaching methods
- Theoretical explanation with practical examples
- Assessment methods
- One written test (50 % success rate)and oral exam.
- Language of instruction
- Czech
- Follow-Up Courses
- Further Comments
- Study Materials
The course is taught annually.
- Enrolment Statistics (spring 2018, recent)
- Permalink: https://is.muni.cz/course/sci/spring2018/M4150