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

A.A. 2024/2025 A.A. 2023/2024 A.A. 2022/2023 A.A. 2021/2022 A.A. 2020/2021 A.A. 2019/2020 A.A. 2018/2019 A.A. 2017/2018 A.A. 2016/2017 A.A. 2015/2016 A.A. 2014/2015 A.A. 2013/2014 A.A. 2012/2013 A.A. 2011/2012 A.A. 2010/2011 A.A. 2009/2010

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:

1° Year 

ModulesCreditsTAFSSD
6
B
MAT/08
6
B
MAT/07
6
B
MAT/03
12
B
MAT/05
6
B
MAT/05
6
C
MAT/06

2° Year   activated in the A.Y. 2016/2017

ModulesCreditsTAFSSD
6
B
MAT/05
32
E
-
activated in the A.Y. 2016/2017
ModulesCreditsTAFSSD
6
B
MAT/05
32
E
-
Modules Credits TAF SSD
Between the years: 1°- 2°
3 course to be chosen among the following
6
C
MAT/03
6
C
MAT/08
6
C
MAT/02
6
C
MAT/02
6
C
MAT/06
6
C
MAT/05
6
C
INF/01
6
C
MAT/09
6
C
MAT/08
6
C
MAT/07
6
C
MAT/08
Between the years: 1°- 2°
One course to be chosen among the following
6
B
MAT/02
6
B
MAT/02
Between the years: 1°- 2°
12
D
-
Between the years: 1°- 2°
Other activitites
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.

A Basic activities
B Characterizing activities
C Related or complementary activities
D Activities to be chosen by the student
E Final examination
F Other training activities
S Placements in companies, public or private institutions and professional associations

Advanced course in foundations of mathematics (2015/2016)

Teaching code

4S001104

Credits

6

Coordinator

Peter Michael Schuster

Language

English en

Scientific Disciplinary Sector (SSD)

MAT/01 - MATHEMATICAL LOGIC

Seminars 2

The teaching is organized as follows:

Teoria

Credits

3

Period

II semestre

Academic staff

Peter Michael Schuster

Teoria 1

Credits

3

Period

II semestre

Academic staff

Riccardo Bruni

Learning outcomes

The aim of the course is to provide the student with a more profound knowledge of the foundations of mathematics, from a mathematical perspective.

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 Torkel Franzén Gödel's Theorem: An Incomplete Guide to its Use and Abuse. A K Peters, Ltd. 2005 1-56881-238-8
Teoria Jon Barwise (ed.) Handbook of Mathematical Logic North-Holland 1977 0-444-86388-5 Mainly the chapter "The incompleteness theorems" by Craig Smorynski.
Teoria Riccardo Bruni Kurt Gödel, un profilo. Carocci 2015 9788843075133
Teoria Peter Aczel, Michael Rathjen Notes on Constructive Set Theory 2010 http://www1.maths.leeds.ac.uk/~rathjen/book.pdf
Teoria Yiannis N. Moschovakis Notes on Set Theory Springer 1994 978-1-4757-4155-1

Examination Methods

Written or oral examination, depending on the number of candidates who want to sit the exam.

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