Course title | Logic and Axiomatic Systems |
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Course code | KMA/M302 |
Organizational form of instruction | Lecture |
Level of course | Master |
Year of study | 2 |
Semester | Winter |
Number of ECTS credits | 3 |
Language of instruction | Czech, English |
Status of course | Compulsory |
Form of instruction | unspecified |
Work placements | unspecified |
Recommended optional programme components | None |
Lecturer(s) |
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Course content |
unspecified
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Learning activities and teaching methods |
unspecified |
Learning outcomes |
The first part of the course is devoted to the construction of the classical sentential calculus. At the same time the fundamental notions of logic are demonstrated (axiom, deduction rule, formal proof, formal theorem) and some fundamental assertions are proved (deduction theorem, completeness theorem). It follows an information about further variants of sentential calculus (three-valued sentential logic, modal sentential logic, intuitionistic sentential logic). The second part of the course is devoted to the work with some concrete formal systems (formal arithmetic, group theory, Euclidean and non-Euclidean geometries, ...).
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Prerequisites |
Teaching in English is meant only for erasmus and foreign students. In the case of a small number of students is teaching in a form of individual consultations.
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Assessment methods and criteria |
unspecified
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Recommended literature |
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Study plans that include the course |
Faculty | Study plan (Version) | Category of Branch/Specialization | Recommended semester | |
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Faculty: Faculty of Science | Study plan (Version): Teaching of mathematics for Secondary schools (A14) | Category: Pedagogy, teacher training and social care | 2 | Recommended year of study:2, Recommended semester: Winter |