OJ205 Algebra for linguists

Faculty of Arts
Autumn 2010
Extent and Intensity
0/2/0. 4 credit(s). Type of Completion: zk (examination).
Teacher(s)
Mgr. Martin Osovský (lecturer)
Guaranteed by
prof. RNDr. Václav Blažek, CSc.
Department of Linguistics and Baltic Languages – Faculty of Arts
Timetable
Wed 15:00–16:35 A48
Prerequisites
At least minimal ability of abstract thinking.
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 apply some algebraic methods in the linguistic analysis. Students should use some basic terms and methods of the theory of sets, relations, graphs etc.
Syllabus
  • 1. The theory of sets as a formal system and an instrument of building mathematics 2. Relational and operational structures on sets -relations, ordered sets, lattices, graphs, monoides, groups, vector spaces 3. Fuzzy approaches and the effort to describe the uncertainty of language 4. Formal languages
Literature
  • CRYAN, Dan, Sharron SHATIL and Bill MAYBLIN. Logika. Translated by Ivo Müller. Vyd. 1. Praha: Portál, 2002, 180 s. ISBN 80-7178-707-8. info
  • BICAN, Ladislav. Algebra : (pro učitelské studium). Vyd. 1. Praha: Academia, 2001, 110 s. ISBN 8020008608. info
  • HUBEY, H. Mark. Mathematical and computational linguistics. München: Lincom Europa, 1999, xxv, 443 s. ISBN 3-89586-639-3. info
  • HORÁK, Pavel. Algebra a teoretická aritmetika. 2. vyd. Brno: Rektorát Masarykovy univerzity, 1991, 196 s. ISBN 8021003200. info
  • PROCHÁZKA, Ladislav. Algebra. 1. vyd. Praha: Academia, 1990, 560 s. info
  • NOVÁK, Vilém. Fuzzy množiny a jejich aplikace. 2. upr. vyd. Praha: Státní nakladatelství technické literatury, 1990, 296 s. ISBN 80-03-00325-3. info
  • NEBESKÝ, Ladislav. Kombinatorické vlastnosti větných struktur. Praha: Univerzita Karlova, 1988. info
  • BIRKHOFF, Garrett and Thomas C. BARTEE. Aplikovaná algebra. Translated by Jaroslav Smítal. 1. vyd. Bratislava: Alfa, 1981, 389 s. info
  • BRAINERD, Barron. Introduction to the Mathematics of language study. New York: American Elsevier Publishing Company, 1971, ix, 312. ISBN 0444000711. info
  • MARCUS, Solomon. Algebraické modely v lingvistice. Translated by Vladimír Hořejší. 1. vyd. Praha: Academia, 1969, 284 s. URL info
  • MAC LANE, Saunders and Garrett BIRKHOFF. Algebra. Translated by Anton Legéň - Jaroslav Smítal. Bratislava: Alfa, vydavateľstvo technickej a ekonomickej literatúry, 1967, 662 s. info
Teaching methods
lectures, drills
Assessment methods
test in ELF
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
Information on completion of the course: PUkončení zápočtem je možné pouze pro kredit typu C. Uděluje se na základě aktivní účasti při výuce.
The course is taught annually.
Credit evaluation note: Za kolokvium jeden kredit navíc.
The course is also listed under the following terms Autumn 2000, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2011, Autumn 2012, Autumn 2013, Autumn 2017, Spring 2019, Spring 2020, Spring 2021.
  • Enrolment Statistics (Autumn 2010, recent)
  • Permalink: https://is.muni.cz/course/phil/autumn2010/OJ205