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Course, academic year 2023/2024
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Logic - OB2310101
Title: Logika
Guaranteed by: Katedra matematiky a didaktiky matematiky (41-KMDM)
Faculty: Faculty of Education
Actual: from 2013
Semester: both
E-Credits: 2
Hours per week, examination: 0/2, MC [HT]
Capacity: winter:unknown / unknown (999)
summer:unknown / unknown (999)
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: not taught
Language: Czech
Teaching methods: full-time
Teaching methods: full-time
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
you can enroll for the course in winter and in summer semester
Guarantor: doc. RNDr. Antonín Jančařík, Ph.D.
Class: Matematika 1. cyklus - povinné
Annotation -
Last update: ZHOUF/PEDF.CUNI.CZ (21.02.2009)
The course focuses on the basics of classical propositional calculus, its axiomatics, semantics, and methods of inference and proof theory. A brief introduction to modal propositional calculus is also included, and Gödel's theorems (undecidable propositions) are mentioned.
Aim of the course -
Last update: ZHOUF/PEDF.CUNI.CZ (21.02.2009)

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: ZHOUF/PEDF.CUNI.CZ (21.02.2009)

Sochor, Klasická matematická logika. Praha : Karolinum 2001.

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: ZHOUF/PEDF.CUNI.CZ (21.02.2009)

Seminar.

Requirements to the exam - Czech
Last update: ZHOUF/PEDF.CUNI.CZ (07.02.2012)

Docházka, aktivní účast a seminární práce.

Syllabus -
Last update: ZHOUF/PEDF.CUNI.CZ (21.02.2009)

Proposition. Propositional calculus.

Logic operations and their properties.

Connection to set theory. Boolean algebra.

Mathematical proofs.

Modal propositional logic.

Undecidable propositions - Gödel's theorems.

 
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