The BSc in Mathematics and Philosophy provides the opportunity to study both subjects in depth while also exploring how they are related through logic and philosophy of mathematics. In addition to Central Themes in Philosophy and Symbolic Logic during your first year, you’ll also take core Maths modules in analysis, geometry, abstract algebra, and probability which will prepare you for more advanced work in mathematics.
In your honours years you’ll explore further topics in logic — such as Gödel’s completeness and incompleteness theorems, set theory, modal operators, Turing machines, undecidable problems, computational complexity — as well as having the opportunity to consider related philosophical questions — e.g. how can we escape from the logical paradoxes? What is a mathematical proof?
Are there true but unprovable statements? How is mathematics related to computation and to the empirical sciences?
Why study Maths and Philosophy at Warwick?
- A fully integrated degree programme, not just modules from two departments.
- Personalized supervision in both departments.
- Many specialized modules: Gödel's completeness and incompleteness theorems, set theory, modal logic, philosophy of mathematics, logic, computation, science, ...
- Opportunties to study abroad in both Europe and North America.
- Large and active faculties in both mathematics and philosophy.
- Strong record placing students in post-graduate and professional programmes.
In your first year you take the following core modules:
- Central Themes in Contemporary Philosophy
- Logic I: Introduction to Symbolic Logic
- Linear Algebra
- Differential Equations
- Geometry and Motion
- Introduction to Abstract Algebra
- Probability A
You will also take an option of at least 6 CATS which could be either Mind and Reality in Philosophy or another option in Mathematics or related subjects.
In your second year you will take:
You will also take a combination of optional core modules such as:
- Metric Spaces
- Algebra I: Advanced Linear Algebra
- Algebra II: Groups and Rings
- Analysis III
- Truth, Consequence, and Paradox
You may also choose between 24-54 CATS either from another subject or from options in either Mathematics or Philosophy (20%-45% of your overall load). There are usually more than 20 optional modules for you to choose from in both departments covering a wide range of topics.
In your third year, if you have earned good marks in your first and second years, you are eligible to transfer to a four year version of the degree (the BSc in Mathematics and Philosophy with Specialism in Logic and Foundations). This will determine the core modules which you do in your third (or optional fourth) year. Amongst the core are:
- Set Theory
- Logic III: Incompleteness and Undecidability
- Philosophy of Computation
- Philosophy of Mathematics
Between 30%-50% of your third year (or optional fourth) year load will be composed of optional modules.
If you elect to do the four year course, you will do either a Dissertation in Philosophy or an Essay in Mathematics. These modules enable you to pursue independent research under the supervision of a faculty member leading to written work of between 6000 and 10000 words.
Maths and Philosophy events