SubjectsSubjects(version: 945)
Course, academic year 2023/2024
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Logic - OKB1310N02
Title: Logika
Guaranteed by: Katedra matematiky a didaktiky matematiky (41-KMDM)
Faculty: Faculty of Education
Actual: from 2022
Semester: winter
E-Credits: 4
Examination process: winter s.:
Hours per week, examination: winter s.:0/0, Ex [HS]
Extent per academic year: 9 [hours]
Capacity: unknown / unknown (999)
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: not taught
Language: Czech
Teaching methods: combined
Teaching methods: combined
Note: course can be enrolled in outside the study plan
enabled for web enrollment
priority enrollment if the course is part of the study plan
Guarantor: prof. RNDr. Ladislav Kvasz, DSc., Dr.
Class: Matematika 1. cyklus - povinné
Pre-requisite : OKB2310008
Interchangeability : OKB2310257
Annotation -
Last update: Mgr. Bc. Karel Zavřel (07.10.2016)
The course focuses on the basics of classical propositional calculus, its axiomatics, semantics, and methods of inference and proof theory. A brief introduction to exploring logical thinking is also included.
Aim of the course -
Last update: JANCARIK/PEDF.CUNI.CZ (27.06.2012)

The goal is to introduce the basics of classical propositional calculus, especially its axiomatics and semantics, and main characteristics. The practice in inference and proofs is emphasized.

Literature -
Last update: Mgr. Bc. Karel Zavřel (07.10.2016)

Sochor, Logika pro všechny ochotné myslet. Praha : Karolinum 2011.

Smullyan, Jak se jmenuje tahle knížka? Praha : Mladá fronta 1986 (nebo Praha : Portál 2015).

Bendová, Sylogistika. Praha : Karolinum 1998.

Peregrin, Logika a logiky. Praha : Academia 2004.

Smullyan, Navěky nerozhodnuto. Praha : Academia 2003.

Barwise, Handbook of Mathematical logic. Nort-Holland, 1977.

Teaching methods -
Last update: JANCARIK/PEDF.CUNI.CZ (27.06.2012)

Seminar.

Requirements to the exam -
Last update: doc. RNDr. Antonín Jančařík, Ph.D. (29.10.2019)

The course is taught only in Czech, so the requirements are only in Czech.

Syllabus -
Last update: Mgr. Bc. Karel Zavřel (07.10.2016)

Syllogism. Syllogistics.

Proposition. Propositional calculus.
Logic operations and their properties.
Connection to set theory. Boolean algebra.
Mathematical proofs.
Modal propositional logic.

 
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