FIL4405 – Philosophical logic and the philosophy of mathematics

Schedule, syllabus and examination date

Choose semester

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.

Admission

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.

Prerequisites

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.

Teaching

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

  • you must submit 4 out of 6 short exercises (deadlines will be published in Canvas)
  • a draft of the first essay in the portfolio exam (see the semester pages for deadline)

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).

Examination

.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.

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

You may write your examination paper in Norwegian, Swedish, Danish or 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

Credits

10

Level

Master

Teaching

Spring 2020

Spring 2018

Autumn 2016

The course is offered on an irregular basis, but normally at least every third semester.

 

Examination

Spring 2020

Spring 2018

Autumn 2016

The course is offered on an irregular basis, but normally at least every third semester.

 

Teaching language

Norwegian (English on request)