PřF:M7532 Foundations of mathematics - Course Information
M7532 Logic foundations of mathematics
Faculty of ScienceSpring 2005
- Extent and Intensity
- 2/0/0. 2 credit(s) (fasci plus compl plus > 4). Type of Completion: graded credit.
- Teacher(s)
- doc. RNDr. Eduard Fuchs, CSc. (lecturer)
- Guaranteed by
- doc. RNDr. Eduard Fuchs, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: doc. RNDr. Eduard Fuchs, CSc. - Timetable
- Thu 14:00–15:50 UP2
- Prerequisites (in Czech)
- M4150 Set Theory || M6531 Set Theory I
- Course Enrolment Limitations
- The course is offered to students of any study field.
- Course objectives
- Problems of infinity in mathematics. Origins of set theory and its impact on the 20th century mathematics. Formalization of mathematics: propositional calculus, first order logic calculus, axiomatic theories. Axioms for set theory: Zermelo-Fraenkel set theory and G\"odel-Bernays set theory, 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 choise and equivalent theorems. Peano arithmetics.
- 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
- FUCHS, Eduard. Teorie množin. Vyd. 1. Brno: Rektorát UJEP, 1974, 176 s. info
- BLAŽEK, Jaroslav, Emil CALDA and Blanka KUSSOVÁ. Algebra a teoretická aritmetika. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1979, 244 s. info
- TARSKI, Alfred. Úvod do logiky a metodologie deduktivních věd. Translated by Pavel Materna. Vyd. 1. Praha: Academia, 1966, 245 s. URL info
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
- Listed among pre-requisites of other courses
- Enrolment Statistics (Spring 2005, recent)
- Permalink: https://is.muni.cz/course/sci/spring2005/M7532