PH1102 Logic I

Faculty of Arts
Autumn 2011
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 9:10–10:45 C33, Fri 10:50–11:35 C33
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
  • 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 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
The course is also listed under the following terms Autumn 1999, Autumn 2000, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, Autumn 2017, Autumn 2018, Autumn 2019.
  • Enrolment Statistics (Autumn 2011, recent)
  • Permalink: https://is.muni.cz/course/phil/autumn2011/PH1102