Language
French
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Main themes
- Concepts of logical law and valid reasoning
- Classical logic: the semantic approach (model theory), the syntactic approach (proof theory) and how the two approaches are equivalent in terms of results
- The limits of classical logic
- The historical roots of contemporary logic
Content
The following topics will be addressed:
- Possible answers to the question "What is logic?"
- The mathematical basis: function, relation, set, tree, recursive definition / recursive proof
- Propositional logic: semantics and axioms
- Predicate logic: semantics
- Problems of classical logic
- A relevant logic and its diagrammatic proof theory
- History of logic: Aristotle, the Stoics, Frege, Russell, Tarski, Gödel
Teaching methods
- Ex cathedra course with some exercises in small groups
- Practical exercices with the assistant
Evaluation methods
The final evaluation in June encompasses
- For 10%: the result obtained by three announced tests during the quadrimester
- For 30%: the result obtained by the written exam of the supervised exercises part of the course during the quadrimester (in May).
- For 60% the result obtained by the written exam in the June examination period. This exam is an open book exam and mainly evaluates the understanding of the contents of the course.
Bibliography
- Syllabus écrit par l'enseignant
Teaching materials
- Syllabus écrit par l'enseignant et certains textes disponibles sur Moodle
Faculty or entity
