## PHBL1 Logic I

**Faculty of Arts**

Autumn 2020

**Extent and Intensity**- 1/1/0. 5 credit(s). Recommended Type of Completion: zk (examination). Other types of completion: z (credit).
**Teacher(s)**- prof. PhDr. BcA. Jiří Raclavský, Ph.D. (lecturer)
**Guaranteed by**- prof. PhDr. BcA. Jiří Raclavský, Ph.D.

Department of Philosophy - Faculty of Arts

Supplier department: Department of Philosophy - Faculty of Arts **Timetable**- Thu 10:00–11:40 A11
**Prerequisites**- No special presuppositions.
**Course Enrolment Limitations**- The course is only offered to the students of the study fields the course is directly associated with.

**fields of study / plans the course is directly associated with**- Philosophy (programme FF, B-PH_) (4)

**Course objectives**- At the end of the course students should understand key notions of propositional logic, i.e. syntax and semantics of propositional logic, the concept of tautology, truth-functional entailment, formal language, axiomatization of propositional logic, the concept of formal proof, deduction theorem, normal forms, Gentzen's sequential calculus.
**Learning outcomes**- The course presents not only the main information about propositional logic, whereas an accent is put on the notion of entailment. The student is gradually introduced to techniques enabling investigation of semantic properties of formulas and methods of formal demonstration as well as their applications in the field of natural language. The student examines a number of practical examples; a great portion of them practise constructing negations, equivalents and checking arguments.
**Syllabus**- An informal characteristics of entailment as the central notion of logic.
- Truth-functions.
- Tautologies.
- Formal language. Well-formed formulas.
- Entailment (logical consequence).
- A Hilbert-style axiomatization.
- The concept of formal proof.
- The relation between syntax and semantics.
- Natural deduction.
- Semantic tableaux.

**Literature**- RACLAVSKÝ, Jiří.
*Úvod do logiky: klasická výroková logika ([Introduction to Logic: Classical Propositional Logic)*. 1. vyd. Brno: Masarykova univerzita, 2015. 238 pp. ISBN 978-80-210-7790-4. URL info

*required literature*- RACLAVSKÝ, Jiří.
**Teaching methods**- Classes + exercises. E-learning.
**Assessment methods**- Written examination (possibly via computer) + short oral examination. It consists of questions asking to explain essential notions (such as, e.g., entailment) and examining also the trained logical skills by solving particular examples (e.g. validity of arguments).
**Language of instruction**- Czech
**Follow-Up Courses****Further comments (probably available only in Czech)**- The course is taught annually.

General note: Pro studenty kombinovaného studijního programu je doporučeno zapsat si současně předmět PHV2451 Logika I: otázky a odpovědi.

Information on the extent and intensity of the course: kombinovaná forma: 16 hodin/semestr. **Teacher's information**- http://www.phil.muni.cz/~raclavsky/logika/

- Enrolment Statistics (recent)

- Permalink: https://is.muni.cz/course/phil/autumn2020/PHBL1