PH1201 Logic II

Faculty of Arts
Spring 2016
Extent and Intensity
2/1/0. 4 credit(s). Type of Completion: zk (examination).
Teacher(s)
prof. PhDr. BcA. Jiří Raclavský, Ph.D. (lecturer)
Guaranteed by
prof. PhDr. Josef Krob, CSc.
Department of Philosophy – Faculty of Arts
Contact Person: Hana Holmanová
Supplier department: Department of Philosophy – Faculty of Arts
Timetable
Thu 10:00–12:25 zruseno D22
Prerequisites
PH1102 Logic I
Credit in Logic I
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
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 Gentzen's sequential calculus); apply techniques to an ordinary reasoning (negations or equivalences of sentences, validity of an argument)
Syllabus
  • 1st 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
  • - algorithm
  • - concept, definition
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
  • 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. URL info
    recommended literature
  • ŠTĚPÁN, Jan. Klasická logika. 1. vyd. Olomouc: Univerzita Palackého v Olomouci, 2001, 198 s. ISBN 8024402548. info
  • ŠTĚPÁN, Jan. Logika a logické systémy. Vyd. 1. Olomouc: Votobia, 1992, 165 s. ISBN 80-85619-29-6. info
Teaching methods
lectures introducing theoretical notions and technical applications; classes devoted to technical applications.
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
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=1908
The course is also listed under the following terms Spring 2000, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, Spring 2013, Spring 2014, Spring 2015, Spring 2017, Spring 2018, Spring 2019, Spring 2020.
  • Enrolment Statistics (Spring 2016, recent)
  • Permalink: https://is.muni.cz/course/phil/spring2016/PH1201