PH1102 Logic I
Faculty of ArtsAutumn 2010
- Extent and Intensity
- 2/1/0. 3 credit(s). Type of Completion: z (credit).
- Teacher(s)
- prof. PhDr. BcA. Jiří Raclavský, Ph.D. (lecturer)
- Guaranteed by
- prof. PhDr. Jan Zouhar, CSc.
Department of Philosophy – Faculty of Arts
Contact Person: Hana Holmanová - Timetable
- Fri 8:20–9:55 C34, Fri 10:00–11:35 A31 stara
- 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
- there are 6 fields of study the course is directly associated with, display
- Course objectives
- At the end of the course students should be able to: understand and explain key notions of propositional calculus (tautology, entailment, formal language, axiomatization, formal proof); apply formal techniques controlling whether a formula is a tautology or whether an argument is valid; apply formal techniques (equivalent transformations, normal forms, proving by means of Gentzen's sequential calculus); apply such techniques to ordinary reasoning (negations or equivalences of sentences, validity of an argument)
- Syllabus
- Logic as an analytical science.
- An informal characteristics of entailment as the central notion of logic.
- Truth-functions.
- Tautologies.
- Truth-functional entailment.
- Formal language. Well-formed formulas.
- A Hilbert-style axiomatization.
- The concept of formal proof.
- The relation between syntax and semantics.
- Deduction theorem.
- Normal forms.
- Gentzen's sequential calculus.
- Literature
- Teaching methods
- Lectures supported by class exercises
- Assessment methods
- After the first term there is a credit test (after the second there is an exam - first part written, second part oral). The credit test has 10 questions. A third checks the students´ acquaintance with theoretical notions and two thirds practical skills such as negations of sentences or controlling the validity of arguments.
- Language of instruction
- Czech
- Follow-Up Courses
- Further comments (probably available only in Czech)
- Study Materials
The course is taught annually. - Teacher's information
- http://www.phil.muni.cz/elf/course/view.php?id=989
- Enrolment Statistics (Autumn 2010, recent)
- Permalink: https://is.muni.cz/course/phil/autumn2010/PH1102