MAT9650 – Advanced topics in logic
Introduction to model theory and continuation of axiomatic set theory and computability theory. The content is flexible.
In model theory, the student will learn about the concepts of quantifier elimination and element types and of the applications of these concepts. Finite model theory with the 0-1-law is one option.
In axiomatic set theory, the student will be introduced to the method of forcing. In computability theory the concept of computability is extended to other structures than the natural numbers and sets of words over a finite alphabet.
PhD candidates from the University of Oslo should apply for classes and register for examinations through Studentweb.
If a course has limited intake capacity, priority will be given to PhD candidates who follow an individual education plan where this particular course is included. Some national researchers’ schools may have specific rules for ranking applicants for courses with limited intake capacity.
PhD candidates who have been admitted to another higher education institution must apply for a position as a visiting student within a given deadline.
Recommended previous knowledge
- 5 credits overlap with MAT4610 – Axiomatic set theory (discontinued)
- 5 credits overlap with MAT9610 – Axiomatic set theory (discontinued)
- 5 credits overlap with MAT4620 – Mathematical Logic II (discontinued)
- 5 credits overlap with MAT9620 – Mathematical Logic II (discontinued)
5 credits with MA360 and MA380.
* For information about the potential partial overlap with other courses, contact the Department.
3 hours per week throughout the semester.
Upon the attendance of three or fewer students, the lecturer may, in conjunction with the Head of Teaching, change the course to self-study with supervision.
Final oral examination.
Examination support material
No examination support material is allowed.
Language of examination
Subjects taught in English will only offer the exam paper in English.
You may write your examination paper in Norwegian, Swedish, Danish or English.
Grades are awarded on a pass/fail scale. Read more about the grading system.
Explanations and appeals
Resit an examination
Students who can document a valid reason for absence from the regular examination are offered a postponed examination at the beginning of the next semester.
Re-scheduled examinations are not offered to students who withdraw during, or did not pass the original examination.
Withdrawal from an examination
It is possible to take the exam up to 3 times. If you withdraw from the exam after the deadline or during the exam, this will be counted as an examination attempt.
Special examination arrangements
Application form, deadline and requirements for special examination arrangements.
The course is subject to continuous evaluation. At regular intervals we also ask students to participate in a more comprehensive evaluation.