Studying at the University of Verona
Here you can find information on the organisational aspects of the Programme, lecture timetables, learning activities and useful contact details for your time at the University, from enrolment to graduation.
Study Plan
The Study Plan includes all modules, teaching and learning activities that each student will need to undertake during their time at the University.
Please select your Study Plan based on your enrollment year.
1° Year
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2° Year activated in the A.Y. 2012/2013
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Un insegnamento a scelta (insegnamenti seminariali ad esclusione di Psicologia dell'educazione e Matematica finanziaria)
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Un insegnamento a scelta (insegnamenti seminariali ad esclusione di Psicologia dell'educazione e Matematica finanziaria)
Modules | Credits | TAF | SSD |
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Legend | Type of training activity (TTA)
TAF (Type of Educational Activity) All courses and activities are classified into different types of educational activities, indicated by a letter.
Mathematical logic (LM) (2011/2012)
Teaching code
4S02805
Teacher
Coordinator
Credits
6
Language
Italian
Scientific Disciplinary Sector (SSD)
MAT/01 - MATHEMATICAL LOGIC
Period
II semestre dal Mar 1, 2012 al Jun 15, 2012.
Learning outcomes
The computation and the working out of the knowledge rely on the distinction between syntax and semantic. The goal of this course is to study the relationship between syntax and semantic, by showing the potentialities and the limits of formal languages.
Program
First order languages, validity and completeness. Compactness theorem and the strengthening of the completeness theorem. The problem of the decidability of the syntactic check of validity. Lowenheim and Skolem theorems and non categorical theories. Skolem paradox. Categoricity of the theory of a finite structure. Confutation trees for denumerable languages. Sequents, natural deduction, and the syntactic analysis of validity. Hilbert style deduction and the relative theorems of validity and completeness. Propositional calculus. Higher order logics. Hint to non classical logics. An overview to Gödel’s incompleteness theorems.
Examination Methods
Open questions written test, and possible oral integration.