Advanced Logic

A.Y. 2021/2022
9
Max ECTS
60
Overall hours
SSD
MAT/01
Language
English
Learning objectives
The course aims to provide students with an overview of the most important formal systems that have been put forward as extensions of, or alternatives to classical logic. More specifically, students will acquire a basic knowledge of the following topics:
- intuitionistic logic
- informational view of logical consequence
- modal and epistemic logics
- non-monotonic logics
The acquired knowledge will be fruitfully employed in teaching, and in all activities requiring the usage of a variety of reasoning tools that are more powerful than elementary logic and more suited to problem-solving in a variety of applications.
Expected learning outcomes
Knowledge and understanding:
- knowledge of the foundations of non-monotonic reasoning;
- knowledge of the main extensions of, and alternatives to classical logic.
- knowledge of the most recent investigations into the relationship between logic and information.
Ability to apply knowledge and understanding

At the end of the course students are expected to be able to apply the acquired knowledge in order to:
- read and understand original scientific contributions in the field of logic;
- analyze and solve scientific, philosophical and practical problems that do not admit of natural solutions in terms of standard logic.
Single course

This course cannot be attended as a single course. Please check our list of single courses to find the ones available for enrolment.

Course syllabus and organization

Single session

Responsible
Lesson period
Second semester
Course syllabus
Course topics:
1. Intuitionistic logic and natural deduction
2. Depth-bounded reasoning
3. Elementary algebraic logic
4. Non-monotonic logics

Prof. D'Agostino will lecture on topics 1-2 and Prof. Hosni on topics 3-4
The program for 6 CFU consists in the first 3 topics (20 lectures, 40 hours)
Prerequisites for admission
"Logical Methods" course.
Teaching methods
Frontal lectures. The approach will be problem-oriented and students will be trained to solve basic logical problems through exercises.
Teaching Resources
Handouts provided by the lectures that will be uploaded on the Moodle site for the course (https://labonline.ctu.unimi.it/course/view.php?id=396). No additional reading material will be necessary for students who cannot attend the lectures regularly. These students will be able to ask the lecturers for clarifications via the forum in the Ariel site or the Teams platform.
Assessment methods and Criteria
Learning assessment will be articulated in a written part and an oral part. The written part will consist in a short essay (max 5000 words) on one of the topics of the course that will be agreed upon with the lecturer; the oral part will consist in a discussion of the essay and on some questions on the other topics of the course. The assessment will depend on the level of understanding of both the conceptual and the formal aspects of the topics presented in the lectures and in the reading material.
The methods of assessment will be the same for all students, including those who do not regularly attend the lectures.
Unita' didattica A
MAT/01 - MATHEMATICAL LOGIC - University credits: 3
Lessons: 20 hours
Unita' didattica B
MAT/01 - MATHEMATICAL LOGIC - University credits: 3
Lessons: 20 hours
Unita' didattica C
MAT/01 - MATHEMATICAL LOGIC - University credits: 3
Lessons: 20 hours
Professor(s)
Reception:
Wednesday 10:00-13:00 and via Teams upon request
Head of Department's Office, Cortile d’Onore