FIL2405 – Philosophical Logic and the Philosophy of Mathematics
Course description
Course content
Course content may vary from year to year but is based on either a further logical and philosophical study of classical propositional and predicate logic, or a logical and philosophical study of various extensions of, and alternatives to, classical Logic or central questions in the philosophy of mathematics. Examples of the former may be meta-theory such as soundness and completeness proofs, the deduction theorem, etc. Examples of the latter can be 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. Other 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 questions within the philosophy of mathematics 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 what logic and/or mathematic
- of formalization as a philosophical Method
You will also have
- acquired a deeper understanding of the philosophical and logical an/or mathematical concepts and techniques that have been discussed in the course
- gained a sufficient understanding ofl logic and/or mathematics and its/their philosophical background to enable further study in these areas on your own.
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.
If you are not already enrolled as a student at UiO, please see our information about admission requirements and procedures.