Course syllabus

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Master in Logic, 120 credits

Introduction 2025 [date TBA] at Humanisten (Faculty of Humanities), Renströmsgatan 6, Gothenburg. See the location of Humanisten on a map.  Note that the introduction starts at [insert time], and nothing else that has been previously communicated.

Please see the slides from the introduction.

About the programme

The purpose of the Master's Programme in Logic is to provide a new generation of students with thorough theoretical knowledge, and the ability to apply it, within a central intellectual field, which gets its theoretical interest and practical value from a unique combination of humanities, mathematics and information science. For the Faculty of Arts this is a commitment to promote and further develop the field of mathematical humanities.

The main goal is that students, after successful completion of the programme, will have a coherent training and thorough understanding of the theoretical fundamentals of the subject of logic itself, its general role in the sciences and humanities, as well as its applications in fields like philosophy, linguistics, mathematics and computer science. Students will be well prepared for a career of research and development in logic and its applications, both in academia and industry.

The programme starts with a number of core courses, common for all students, which provide a solid foundation in the fundamentals of theoretical logic and its applications, and then follow elective courses, tailored to the background, interests and career plans for individual students.

The structure of the programme changed slightly in 2021. If you started the programme in 2021 or earlier please see the old information available here.

H2LOG Outline 2024.png

Obligatory courses are listed below. You will find links to the course syllabi and to the latest Canvas activity for each course:

See below for elective courses.

The Research Seminar in Logic

Elective courses

Elective courses are chosen by the student after counseling with the teacher who is assigned as her study tutor; this is to ensure that the student builds a sensible and competitive profile, with respect to her individual background, interests, potential and plans for future professional life.

There are three sets of elective courses to choose among: 1) the five recommended elective logic courses, 2) courses in other subject areas that you apply for through universityadmissions.se and 3) one of the five Specialization in Logic courses that can be tailored toward your special interests and needs.

1) The four recommended elective logic courses

  • Models of Computation, LOG260: A model for computability describes how, and if, a function or operation can be computed. The course covers the many such models and how these models are related to one another. The course content includes: Finite automata, regular and context-free languages, Turing computability and recursive functions, the recursion theorem and relative Turing computability, basic results in complexity theory.
  • Advanced Set Theory, LOG270: The course covers results of relative consistency in the axiomatic set theory Zermelo-Fraenkel (ZF). By using internal models for set theory, the relative consistency of Foundation, Choice and the Continuum hypothesis (CH) are shown. The method of forcing is used to prove the independence of CH, as well as other cardinal axioms.
  • Logic, Games and Automata, LOG290: Fall 2025 The course covers the mathematical theory that underlies reactive systems, typically finite state-based systems equipped with a system for interaction with the environment. The theory is studied through three theoretical perspectives: logic, games and automata. Automata theory is a powerful model of computing for state-based systems, logic provides a formal language for the specification of correctness properties, and by using ideas from game theory mathematical models of the system-environment interaction can be built.
  • Category Theory, LOG350: The course starts with general category theory and defines the concept of a category. Examples of categories, constructed in set theory, are presented. Then, a number of central concepts in category theory defined by using abstract limits and universal properties are presented. The course also provides an introduction to topos theory, and its connection to logic and set theory. Finally, two central concepts in general category theory are defined and exemplified: functors and natural transformations.

2) Courses in other subject areas

Such courses will need to be applied for (in time) through universityadmissions.se and observe that to include such a course in your exam you will need to get the course confirmed by your study tutor. Also note that you will need to fulfil the prerequisites. Below you will find a list of some of the courses at GU that we think may interest you:

3) One of the five Specialization in Logic courses

Specialization in Logic 1-5, 7.5 credits: LOG230, LOG240, LOG320, LOG330, and LOG340 can be filled with different content and are usually offered as individual reading courses. They can be used for preparing you for the thesis work and it is recommended to take at least one during the third semester of the programme. Below you will find some possible specializations:

  • Formal Theories of Truth
  • Philosophy of Mathematics
  • Functorial Semantics
  • Topos Theory
  • Semantics of Dependent Type Theory
  • LaTeX: \lambda-calculus, types and foundations of programming languages
  • Models of Arithmetic
  • History of Logic
  • Game Theory and Logic

But also other specializations, determined in consultation with your study tutor, are possible.

More information

Course summary:

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