FIL4405 – Philosophical Logic and the Philosophy of Mathematics

Schedule, syllabus and examination date

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Course content

The contents of the course may vary from year to year but will be based on: (1) a further logical and philosophical study of classical propositional and predicate logic; (2) a logical and philosophical study of various extensions of, and alternatives to, classical logic; or (3) central questions in the philosophy of mathematics. Examples of (1) include metatheory such as soundness and completeness proofs, the deduction theorem, etc. Examples of (2) include Gödel's incompleteness theorem, various systems of modal logic (for example, K, T, S4, S5), as well as systems of deontic logic, temporal logic, or doxastic logic. Further examples of specialization may be within identity theory, model theory, set theory, second-order logic, logical consequence, conditionals, counterfactuals, intuitionistic logic, relevance logic, and various logical paradoxes such as Russell's Paradox, Liar Paradox, etc. Examples of (3) include mathematical knowledge, mathematical objects, truth in mathematics, and the applicability of mathematics.

Learning outcome

After passing the exam, you will have

  • gained a deeper understanding of the nature of logic and/or mathematics
  • acquired a thorough understanding of the central philosophical questions that arise in connection with one or both of these formal sciences, as well as an ability to think independently about how these questions are to be answered.

Having passed the exam in this unit will enable you to understand and orient yourself in the philosophical literature in this area.


Students who are admitted to study programmes at UiO must each semester register which courses and exams they wish to sign up for in Studentweb.

Students enrolled in other Master's Degree Programmes can, on application, be admitted to the course if this is cleared by their own study programme.

If you are not already enrolled as a student at UiO, please see our information about admission requirements and procedures.

Requires admission to the Master's programme in philosophy.


Recommended previous knowledge

EXFAC03-FIL - Exfac, filosofivariant from fall 2007 till fall 2011 or FIL1006 - Innføring i logikk. If you are uncertain about whether or not your your previous knowledge within the field is sufficient, we advise you to contact the teacher responsible for the course.


12 double sessions of seminar. The course has the following compulsory tuition activities:

  • you must post a question in Canvas related to the syllabus 9 out of 12 weeks
  • a draft of the first essay in the portfolio exam (see the semester pages for deadline)
  • a short oral presentation

In order for you to qualify for the final examination, all compulsory tuition activities must be approved (accepted as satisfactory) by the teacher. The tuition activities are only valid for one semester (the same semester you attend the course).

This is how you apply for valid absence from / postponement of obligatory activities.


.A portfolio exam that consists of two essay. You submit the portfolio in Inspera.

In order for you to qualify for the final examination, all compulsory tuition activities must be approved by the teacher.

For more information about the evaluation of the exam, please see the evaluation form.

Use of sources and citation

You should familiarize yourself with the rules that apply to the use of sources and citations. If you violate the rules, you may be suspected of cheating/attempted cheating.

Language of examination

The examination text is given in English, and you submit your response in English.

Grading scale

Grades are awarded on a scale from A to F, where A is the best grade and F is a fail. Read more about the grading system.

Explanations and appeals

Resit an examination

Special examination arrangements

Application form, deadline and requirements for special examination arrangements.

Facts about this course






Every spring


Every spring



Teaching language