Mathematics and Philosophy | University of Oxford
Mathematics and Philosophy
The Penrose Paving, designed by Sir Roger Penrose, Emeritus Rouse Ball Professor of Mathematics.
(Credit: Mathematical Institute)

Mathematics and Philosophy

This course brings together two of the most fundamental and widely applicable intellectual skills. Mathematical knowledge and the ability to use it is the most important means of tackling quantifiable problems, while philosophical training enhances the ability to analyse issues, question received assumptions and clearly articulate understanding. The combination provides a powerful background from which to proceed to graduate study in either Mathematics or Philosophy or to pursue diverse careers. Historically, there have been strong links between Mathematics and Philosophy; logic, an important branch of both subjects, provides a natural bridge between the two, as does the philosophy of mathematics.

The degree is constructed in the belief that the parallel study of these related disciplines can significantly enhance your understanding of each.

The Philosophy Faculty is the largest in the UK, and one of the largest in the world, with more than 70 full-time members and admitting around 450 undergraduates annually to read the various degrees involving Philosophy. Many faculty members have a worldwide reputation, and the faculty has the highest research ratings of any philosophy department in the UK. The Philosophy Library is among the best in the country. The large number of undergraduates and graduates reading Philosophy with a variety of other disciplines affords the opportunity to participate in a diverse and lively philosophical community.

The Mathematics Department, since 2013 housed in the Andrew Wiles Building, is also one of the largest and best in the UK and contains within it many world-class research groups. This is reflected in the wide choice of mathematics topics available to you, especially in the fourth year.

The course

There are two Mathematics and Philosophy degrees, the three-year BA and the four-year MMathPhil. Decisions regarding continuation to the fourth year do not have to be made until the third year.

The mathematics units in this joint course are all from the single-subject Mathematics course. Accordingly the standard in mathematics for admission to the joint course is the same as for admission to the single-subject Mathematics course.

The compulsory core mathematics for the joint course consists of the pure (as opposed to applied) mathematics from the compulsory core for the single-subject Mathematics course. The philosophy units for the Mathematics and Philosophy course are mostly shared with the other joint courses with Philosophy.

In the first year all parts of the course are compulsory. In the second and third years some subjects are compulsory, consisting of core mathematics and philosophy and bridge papers on philosophy of mathematics and on foundations (logic and set theory), but you also choose options. In the fourth year there are no compulsory subjects, and you can do all Mathematics, all Philosophy, or a combination of the two.


Graduates secure positions in diverse areas such as software development, teaching, research, the public sector, including the civil and diplomatic services, and journalism, both in the UK and abroad. Around 30% of graduates go on to further academic study.

Katherine currently works for the Bodleian Libraries. She found that the logical problem-solving skills and attention to detail she gained from studying mathematics came in useful when tackling new technical challenges in her work and whilst she completed a second master’s. The experience of studying both subjects so intensely, and having to pick up and apply new knowledge quickly, gave her the confidence to work with new subject areas, including legal and medical research libraries.

Related courses

Students interested in this course might also like to consider other Mathematics courses or Computer Science and Philosophy.

A typical week

  • Years 1 and 2: up to ten lectures a week, two–three tutorials a week
  • Years 3 and 4: up to eight lectures a week. Equivalent of eight units taken each year. Weekly tutorials per Philosophy subject. Fortnightly classes per Mathematics unit

Tutorials are usually 2-4 students and a tutor. Class sizes may vary depending on the options you choose. There would usually be around 8-12 students though classes for some of the more popular papers may be larger.

Most tutorials, classes, and lectures are delivered by staff who are tutors in their subject. Many are world-leading experts with years of experience in teaching and research. Some teaching may also be delivered by postgraduate students who are usually studying at doctorate level.

To find out more about how our teaching year is structured, visit our Academic Year page.

1st year


  • Algebra
  • Analysis
  • Calculus and probability
  • Elements of deductive logic
  • General philosophy
  • Frege, Foundations of Arithmetic


First University examinations:
Five compulsory written papers

2nd and 3rd years


  • Core pure mathematics (Algebra, Metric spaces, Complex analysis)
  • Foundations (Set theory, Logic)
  • Intermediate mathematics options
  • Knowledge and reality or Early Modern philosophy
  • Philosophy of mathematics
  • Further philosophy papers


Final University examinations, Part A (2nd year): Two written papers on pure mathematics core and two written papers on mathematics options

Final University examinations, Part B (3rd year): Four 90-minute exams in Mathematics and three three-hour papers in Philosophy and either two further 90-minute Mathematics exams or one further three-hour Philosophy paper (or the equivalent)

4th year



Advanced options including:

  • Axiomatic set theory
  • Elliptic curves
  • Gödel’s incompleteness theorems
  • Infinite groups
  • Model theory
  • Stochastic differential equations
  • Optional mathematics dissertation


Advanced options in Philosophy
Optional Philosophy thesis

The options listed above are illustrative and may change. A full list of current options is available on the Mathematics website and the Philosophy website.


Final University Examinations, Part C: Philosophy subjects include a 5000-word essay. Students study
three Philosophy subjects or eight Mathematics units, or a mixture of the two disciplines. Upper second
currently required to progress to Part C.

The content and format of this course may change in some circumstances. Read further information about potential course changes.

  • A-levels: A*A*A with the A*s in Mathematics and Further Mathematics (if taken). For those for whom A-level Further Mathematics is not available: either A*AAa with A* in Mathematics and a in AS-level Further Mathematics or A*AA with A* in Mathematics.
  • Advanced Highers: AA/AAB
  • IB: 39 (including core points) with 766 at HL
  • Or any other equivalent (see other UK qualifications, and international qualifications)

If English is not your first language you may also need to meet our English language requirements.

Wherever possible, your grades are considered in the context in which they have been achieved.  (See further information on how we use contextual data.) 

Candidates are expected to have Mathematics to A-level (A* grade), Advanced Higher (A grade), Higher Level in the IB (score 7) or another equivalent. Further Mathematics is highly recommended.

If, and only if, you have chosen to take any science A-levels, we expect you to take and pass the practical component in addition to meeting any overall grade requirement.

All candidates must also take the Mathematics Admissions Test (MAT) as part of their application. 

Oxford University is committed to recruiting the best and brightest students from all backgrounds. We offer a generous package of financial support to Home/EU students from lower-income households. (UK nationals living in the UK are usually Home students.)


These annual fees are for full-time students who begin this undergraduate course here in 2019.

Fee status

Annual Course fees

(Channel Islands & Isle of Man)

For more information please refer to our course fees page. Fees will usually increase annually. For details, please see our guidance on likely increases to fees and charges.

EU applicants should refer to our dedicated webpage for details of the implications of the UK’s plans to leave the European Union.

Living costs

Living costs at Oxford might be less than you’d expect, as our world-class resources and college provision can help keep costs down.

Living costs for the academic year starting in 2019 are estimated to be between £1,058 and £1,643 for each month you are in Oxford. Our academic year is made up of three eight-week terms, so you would not usually need to be in Oxford for much more than six months of the year but may wish to budget over a nine-month period to ensure you also have sufficient funds during the holidays to meet essential costs. For further details please visit our living costs webpage.

Financial support


A tuition fee loan is available from the UK government to cover course fees in full for Home (UK)/EU students undertaking their first undergraduate degree*, so you don’t need to pay your course fees up front.

In 2019 Oxford is offering one of the most generous bursary packages of any UK university to those on a family income of around £42,875 or less, with additional opportunities available to those from households with incomes of £16,000 or less. This support is available in addition to the government living costs support.  See further details.

(Channel Islands and Isle of Man)

Islands students are entitled to different support to that of students from the rest of the UK.

Please refer the links below for information on the support to you available from your funding agency:

States of Jersey
States of Guernsey
Isle of Man


Please refer to the "Other Scholarships" section of our Oxford Bursaries and Scholarships page.

*If you have studied at undergraduate level before and completed your course, you will be classed as an Equivalent or Lower Qualification student (ELQ) and won’t be eligible to receive government or Oxford funding

Fees, Funding and Scholarship search

Additional Fees and Charges Information for Mathematics and Philosophy

There are no compulsory costs for this course beyond the fees shown above and your living costs.

All candidates must follow the application procedure as shown in applying to Oxford. The information below gives specific details for students applying for this course.

Written test

All candidates must take the Mathematics Admissions Test (MAT) in their own school or college or other approved test centre on Wednesday 31 October 2018. Candidates must make sure they are available to take the test at this time. Separate registration for this test is required and the final deadline for entries is Monday 15 October 2018. It is the responsibility of the candidate to ensure that they are registered for this test. We strongly recommend making the arrangements in plenty of time before the deadline. 

Everything you need to know, including guidance on how to prepare, can be found on the MAT page

Written work

You do not need submit any written work when you apply for this course.

What are tutors looking for?

During the interview for Philosophy you will be given the opportunity to show a critical and analytical approach to abstract questions and the ability to defend a viewpoint by reasoned argument. In Mathematics you may find yourself asked to look at problems of a type that you have never seen before. Don’t worry; we will help you! We want to see if you can respond to suggestions as to how to tackle new things, rather than find out simply what you have been taught.

For more detail on the selection criteria for this course, please see the Mathematics and Philosophy websites.

Suggested reading

Reading lists for prospective Mathematics and Philosophy applicants can be found in the departmental prospectus, available from the Maths Department website.


Kevin Minors

Watch a series of short videos of students talking about some aspect of their time at Oxford.


'I came to Oxford because I wanted to study at one of the best universities in the country. I enjoy the reading in preparation for essays and also the tutorials, especially the philosophical discussions; it’s really interesting to try and make your point clearer and to discover sides of the argument you’d never thought about. Organising your time is very important. If you enjoyed maths and further maths at A-level and you find questions in philosophy interesting then this is definitely the course for you.

Life at Oxford hasn’t been what I expected. The image I created was far too stereotypical and I was surprised when I arrived to find that Oxford is a university much like any other. I’m a member of the Secular Society, which has been really interesting: its guest speakers include well-known philosophers and recently the Society held a faith schools forum which I took part in. I’m also a member of the Oxford Union – nearly every week there’s some head of state flying in to give a talk, or someone from Hollywood recounting their experiences, as well as the debates which have covered topics ranging from gay parenting to the 'War on Terror’. The University is one of very few places with a collegiate system, which means that you belong to your college community while being a member of the University as a whole, and I think that although you do have to work hard while you’re here, your friends, tutors and activities in and out of college will make your time really worthwhile and enjoyable.'


He is currently a capital actuarial analyst at Catlin Insurance. He says:  

‘The mathematical skills developed during my degree have helped with the technical side of my work, but studying philosophy alongside maths also developed my abilities to analyse an argument and to take a logical approach to problem-solving. These skills have proven particularly valuable in the workplace, both in my current role and as an associate on the Financial Services Authority’s graduate scheme.’


The most unexpected thing about my course:

'How few people take it - only 24 in my year across the whole university. I found it quite hard having no one in my year at the same college to compare notes with.'

I wish they'd told me when I was applying to university...

'How intense the work would be here, compared to both school and most other universities - I had five or six assignments every week in my first term!'

My favourite Oxford memory is...

'I went to formal hall at my college for my birthday in first year and the catering staff brought out leftover high table food from the day before as a special treat...along with the usual three courses and an extra pudding for me, complete with birthday candle! It was really lovely to see how much my college cared about its students, and everyone appreciated the extra dinner!'

I'd just like to add:

'I didn't realise for a long time that it's okay to get stuck on work and ask your tutors for help or even a deadline extension, and that doing so won't reflect negatively on you - having had that knowledge really enforced would have saved me a lot of stress!'

Contextual information

The Key Information Sets provide a lot of numbers about the Oxford experience – but there is so much about what you get here that numbers can’t convey. It’s not just the quantity of the Oxford education that you need to consider, there is also the quality – let us tell you more.

Oxford’s tutorial system

Regular tutorials, which are the responsibility of the colleges, are the focal point of teaching and learning at Oxford. The tutorial system is one of the most distinctive features of an Oxford education: it ensures that students work closely with tutors throughout their undergraduate careers, and offers a learning experience which is second to none.

A typical tutorial is a one-hour meeting between a tutor and one, two, or three students to discuss reading and written work that the students have prepared in advance. It gives students the chance to interact directly with tutors, to engage with them in debate, to exchange ideas and argue, to ask questions, and of course to learn through the discussion of the prepared work. Many tutors are world-leaders in their fields of research, and Oxford undergraduates frequently learn of new discoveries before they are published.

Each student also receives teaching in a variety of other ways, depending on the course. This will include lectures and classes, and may include laboratory work and fieldwork. But the tutorial is the place where all the elements of the course come together and make sense. Meeting regularly with the same tutor – often weekly throughout the term – ensures a high level of individual attention and enables the process of learning and teaching to take place in the context of a student’s individual needs.

The tutorial system also offers the sustained commitment of one or more senior academics – as college tutors – to each student’s progress. It helps students to grow in confidence, to develop their skills in analysis and persuasive argument, and to flourish as independent learners and thinkers.

More information about tutorials

The benefits of the college system

  • Every Oxford student is a member of a college. The college system is at the heart of the Oxford experience, giving students the benefits of belonging to both a large and internationally renowned university and a much smaller, interdisciplinary, college community.
  • Each college brings together academics, undergraduate and postgraduate students, and college staff. The college gives its members the chance to be part of a close and friendly community made up of both leading academics and students from different subjects, year groups, cultures and countries. The relatively small size of each college means that it is easy to make friends and contribute to college life. There is a sense of belonging, which can be harder to achieve in a larger setting, and a supportive environment for study and all sorts of other activities.
  • Colleges organise tutorial teaching for their undergraduates, and one or more college tutors will oversee and guide each student’s progress throughout his or her career at Oxford. The college system fosters a sense of community between tutors and students, and among students themselves, allowing for close and supportive personal attention to each student’s academic development.

It is the norm that undergraduates live in college accommodation in their first year, and in many cases they will continue to be accommodated by their college for the majority or the entire duration of their course. Colleges invest heavily in providing an extensive range of services for their students, and as well as accommodation colleges provide food, library and IT resources, sports facilities and clubs, drama and music, social spaces and societies, access to travel or project grants, and extensive welfare support. For students the college often becomes the hub of their social, sporting and cultural life.

More about Oxford’s unique college system and how to choose a college

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