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Course detail
FSI-SMLAcad. year: 2024/2025
In the course, the basics of propositional and predicate logics will be taught. First, the students will get acquainted with the syntax and semantics of the logics, then the logics will be studied as formal theories with an emphasis on formula proving. The classical theorems on correctness, completeness and compactness will also be dealt with. After discussing the prenex forms of formulas, some properties and models of first-order theories will be studied. We will also deal with the undecidability of first-order theories resulting from the well-known Gödel incompleteness theorems.
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Rules for evaluation and completion of the course
The course unit credit is awarded on condition of having attended the seminars actively and passed a written test. The exam has a written and an oral part. The written part tests student's ability to deal with various problems using the knowledge and skills acquired in the course. In the oral part, the student has ro prove that he or she has mastered the related theory.
Aims
The aim of the course is to acquaint students with the basic methods of reasoning in mathematics. The students will learn about general principles of predicate logic and, consequently, acquire the ability of exact mathematical reasoning and expression. They will understand the general principles of construction of mathematical theories and proofs. The course will contribute students to better acquiring logical reasonong in mathematics and thus to better understanding mathematical knowledge.,
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Classification of course in study plans
specialization NISY , 0 year of study, summer semester, electivespecialization NMAT , 0 year of study, summer semester, electivespecialization NVER , 0 year of study, summer semester, electivespecialization NBIO , 0 year of study, summer semester, electivespecialization NISD , 0 year of study, summer semester, electivespecialization NIDE , 0 year of study, summer semester, electivespecialization NCPS , 0 year of study, summer semester, electivespecialization NSEC , 0 year of study, summer semester, electivespecialization NGRI , 0 year of study, summer semester, electivespecialization NNET , 0 year of study, summer semester, electivespecialization NVIZ , 0 year of study, summer semester, electivespecialization NSEN , 0 year of study, summer semester, electivespecialization NMAL , 0 year of study, summer semester, electivespecialization NHPC , 0 year of study, summer semester, electivespecialization NEMB , 0 year of study, summer semester, electivespecialization NADE , 0 year of study, summer semester, electivespecialization NSPE , 0 year of study, summer semester, electivespecialization NEMB , 0 year of study, summer semester, electivespecialization NISY up to 2020/21 , 0 year of study, summer semester, elective
specialization CLS , 1 year of study, summer semester, elective
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