MAT9650 – Advanced Topics in Logic
Course description
Schedule, syllabus and examination date
Course content
Introduction to model theory and continuation of axiomatic set theory and computability theory. The content is flexible.
Learning outcome
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.
Admission to the course
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
MAT-INF3600 – Mathematical Logic, MAT4630 – Computability Theory (discontinued) and MAT4640 – Axiomatic Set Theory (discontinued)/MAT9640 – Axiomatic Set Theory (discontinued).
Overlapping courses
- 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 MA380.
- 5 credits overlap with MA360.
- 5 credits overlap with MA360.
- 5 credits overlap with MAT9620 – Mathematical Logic II (discontinued).
Teaching
3 hours per week throughout the semester.
The course may be taught in Norwegian if the lecturer and all students at the first lecture agree to it.
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.
Examination
Final oral examination.
Examination support material
No examination support material is allowed.
Grading scale
Grades are awarded on a pass/fail scale. Read more about the grading system.
Resit an examination
This course offers both postponed and resit of examination. Read more:
More about examinations at UiO
- Use of sources and citations
- Special exam arrangements due to individual needs
- Withdrawal from an exam
- Illness at exams / postponed exams
- Explanation of grades and appeals
- Resitting an exam
- Cheating/attempted cheating
You will find further guides and resources at the web page on examinations at UiO.