FIL4405 – Philosophical Logic and the Philosophy of Mathematics
Course description
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 G?del`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 to the course
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