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.

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 2025/2026

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.

CURRICULUM TIPO:

2° Year   activated in the A.Y. 2019/2020

ModulesCreditsTAFSSD
6
B
MAT/05
Final exam
32
E
-
activated in the A.Y. 2019/2020
ModulesCreditsTAFSSD
6
B
MAT/05
Final exam
32
E
-
Modules Credits TAF SSD
Between the years: 1°- 2°
To be chosen between
Between the years: 1°- 2°
Between the years: 1°- 2°
Other activities
4
F
-

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.




S Placements in companies, public or private institutions and professional associations

Teaching code

4S001104

Credits

6

Language

English en

Scientific Disciplinary Sector (SSD)

MAT/01 - MATHEMATICAL LOGIC

The teaching is organized as follows:

Teoria 2

Credits

3

Period

II semestre

Academic staff

Daniel Wessel

Teoria 1

Credits

3

Period

II semestre

Academic staff

Peter Michael Schuster

Learning outcomes

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.

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

Reference texts
Activity Author Title Publishing house Year ISBN Notes
Teoria 1 Peter Smith An Introduction to Gödel's Theorems (Edizione 2) Cambridge University Press 2013 9781107606753
Teoria 1 Torkel Franzén Gödel's Theorem: An Incomplete Guide to its Use and Abuse. A K Peters, Ltd. 2005 1-56881-238-8
Teoria 1 Jon Barwise (ed.) Handbook of Mathematical Logic North-Holland 1977 0-444-86388-5
Teoria 1 Riccardo Bruni Kurt Gödel, un profilo. Carocci 2015 9788843075133
Teoria 1 Abrusci, Vito Michele & Tortora de Falco, Lorenzo Logica. Volume 2 - Incompletezza, teoria assiomatica degli insiemi. Springer 2018 978-88-470-3967-4
Teoria 1 Peter Aczel, Michael Rathjen Notes on Constructive Set Theory 2010
Teoria 1 Yiannis N. Moschovakis Notes on Set Theory Springer 1994 978-1-4757-4155-1

Examination Methods

Single oral exam with open questions and grades out of 30. The exam modalities are equal for attending and non-attending students.

Students with disabilities or specific learning disorders (SLD), who intend to request the adaptation of the exam, must follow the instructions given HERE