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
Academic year:
I semestre From 10/1/19 To 1/31/20
years Modules TAF Teacher
1° 2° Python programming language D Maurizio Boscaini (Coordinator)
1° 2° SageMath F Zsuzsanna Liptak (Coordinator)
1° 2° History of Modern Physics 2 D Francesca Monti (Coordinator)
1° 2° History and Didactics of Geology D Guido Gonzato (Coordinator)
II semestre From 3/2/20 To 6/12/20
years Modules TAF Teacher
1° 2° Advanced topics in financial engineering D Luca Di Persio (Coordinator)
1° 2° C Programming Language D Sara Migliorini (Coordinator)
1° 2° C++ Programming Language D Federico Busato (Coordinator)
1° 2° LaTeX Language D Enrico Gregorio (Coordinator)
List of courses with unassigned period
years Modules TAF Teacher
1° 2° Axiomatic set theory for mathematical practice F Peter Michael Schuster (Coordinator)
1° 2° Corso Europrogettazione D Not yet assigned
1° 2° Corso online ARPM bootcamp F Not yet assigned
1° 2° ECMI modelling week F Not yet assigned
1° 2° ESA Summer of code in space (SOCIS) F Not yet assigned
1° 2° Google summer of code (GSOC) F Not yet assigned
1° 2° Higher Categories - Seminar course F Lidia Angeleri (Coordinator)

Teaching code

4S009160

Credits

4

Language

English en

Scientific Disciplinary Sector (SSD)

MAT/01 - MATHEMATICAL LOGIC

Period

2° semestre Scienze e Ingegneria dal Mar 2, 2020 al May 9, 2020.

Location

VERONA

Learning outcomes

This monographic course introduces advanced topics in the area of axiomatic set theory and discusses their use in mathematical practice. The specific arguments are detailed in the programme. At the end of this course the student will know advanced material about the topics of the course. The student, moreover, will be able to reflect upon the use of this material in mathematical practice; 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 particular regard to mathematical practice, including
aspects of (non)constructivity and (im)predicativity, as well as
transfinite proof methods: Axiom of Choice, Well-Ordering Theorem,
Zorn's Lemma, etc.

Reference texts
Author Title Publishing house Year ISBN Notes
Abrusci, Vito Michele & Tortora de Falco, Lorenzo Logica. Volume 2 - Incompletezza, teoria assiomatica degli insiemi. Springer 2018 978-88-470-3967-4
Peter Aczel, Michael Rathjen Notes on Constructive Set Theory 2010
Yiannis N. Moschovakis Notes on Set Theory Springer 1994 978-1-4757-4155-1

Examination Methods

Written essay with presentation and discussion in class.

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