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
This information is intended exclusively for students already enrolled in this course.If you are a new student interested in enrolling, you can find information about the course of study on the course page:
Laurea magistrale in Mathematics - Enrollment from 2025/2026The 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
| Modules | Credits | TAF | SSD |
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| Modules | Credits | TAF | SSD |
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| Modules | Credits | TAF | SSD |
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1 module between the following (a.a. 2022/23 Computational Algebra not activated; a.a. 2023/24 Homological Algebra not activated)1 module between the following 3 modules among the followingLegend | 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.
Advanced course in foundations of mathematics (2022/2023)
Teaching code
4S001104
Academic staff
Coordinator
Credits
6
Language
English
Scientific Disciplinary Sector (SSD)
MAT/01 - MATHEMATICAL LOGIC
Period
Semester 2 dal Mar 6, 2023 al Jun 16, 2023.
Learning objectives
This monographic course introduces advanced topics in the area of the foundations of mathematics and discusses their repercussions in mathematical practice. The specific arguments are detailed in the programme. At the end of this course the student will know advanced topics related to the foundations of mathematics. The student will be able to reflect upon their interactions with other disciplines of mathematics and beyond; to produce rigorous argumentations and proofs; and to read related articles and monographs, including advanced ones.
Prerequisites and basic notions
Bachelor's degree in mathematics (pure, applied, ...). Alternatively, a bachelor's degree in some related subject (computer science, statistics, ...) if the emphasis of the studies was put on formal and mathematical methods.
Program
Introduction to Zermelo-Fraenkel style axiomatic set theory, with attention to constructive aspects and transfinite methods (ordinal numbers, axiom of choice, etc.).
Gödel's incompleteness theorems and their repercussion on Hilbert's programme, with elements of computability theory (recursive functions and predicates, etc.).
Bibliography
Didactic methods
All lectures will be held in lecture hall. Additional homework exercises will be assigned and partially discussed at lectures.
Learning assessment procedures
The exam consists of a single oral exam with open questions and marks out of thirty. Exam methods are not differentiated between attending and non-attending students.
Evaluation criteria
The exam aims to verify the student's full maturity about proof techniques and the ability to read and understand advanced topics of the foundations of mathematics.
Criteria for the composition of the final grade
The final grade consists of the outcome of the sole oral exam.
Exam language
English
