PHV242 Logic II: Seminar

Faculty of Arts
Spring 2020
Extent and Intensity
0/2. 2 credit(s). Type 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
each odd Thursday 12:00–13:40 A11
Prerequisites
PHBL2 or similar course
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 27 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 first-order logic (tautology, entailment, formal language, axiomatization, formal proof) and non-classical logics; apply formal techniques of controlling whether a formula is a tautology and whether an argument is valid; apply formal techniques (equivalent transformations, proving by means of natural deduction and semantix tableaux); apply techniques to an ordinary reasoning (negations or equivalences of sentences, validity of an argument)
Learning outcomes
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
  • Excercises are related to the following topics of first-order logic
  • - informal introduction
  • - its syntax, semantics
  • - proof, natural deduction
  • - identity, descriptive operator, functions
  • - perspectives: higher order logics, modal and intensional logics
  • - formalized theories, arithmetics of natural numbers, incompleteness theorems
Literature
    required literature
  • RACLAVSKÝ, Jiří. Úvod do logiky: klasická predikátová logika ([Introduction to Logic: Classical Predicate Logic). 1. vyd. Brno: Masarykova univerzita, 2015, 348 pp. ISBN 978-80-210-7867-3. info
Teaching methods
Classes devoted to technical applications of first-order logic. E-learning.
Assessment methods
written test exam; its first part part consists in testing the validity of an argument, the second part relates to several easier skills such as negation of sentences, the third part examines the understanding of the selected notions
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
Information on the extent and intensity of the course: kombinovaná forma: 16 hodin/semestr.
Teacher's information
http://www.phil.muni.cz/~raclavsky/logika/
The course is also listed under the following terms Spring 2021, Spring 2022, Spring 2023.
  • Enrolment Statistics (Spring 2020, recent)
  • Permalink: https://is.muni.cz/course/phil/spring2020/PHV242