To be eligible, applicants should:

• Be between 13-15 years old.
• Have a sufficient understanding of English to participate in academic discussions and coursework.
• Have a keen interest in exploring their chosen subject(s).

If you meet these requirements, we’d love to see your application!

Applying is easy! Follow these steps:

1. Choose a Course: Select your subject, location, dates, and accommodation. You can add additional courses if you wish.
2. Provide Student Info: Fill in your name, contact details, and a short personal statement about why you'd be a great fit.
3. Enter School Info: Provide the name and address of your most recent school.
4. Review & Submit: Double-check your details and submit your application.

After submission, our admissions team will review your application, and you’ll hear back within 2-3 days. Apply now!

Yes, you can book more than one course! During the application process, you will have the option to add additional courses either before or after your main course. The total price, including any additional courses, will be displayed before you proceed.

After paying your deposit to secure your place, our admissions team will help you set up a bespoke payment plan. You can choose from options like monthly or bimonthly payments, and we will provide a detailed invoice outlining your instalment schedule. Learn more about payment plans.

Note: There are no additional fees for setting up a payment plan, and your place is secure once the deposit is paid.

The course is structured over two weeks and introduces students to formal logic, a fundamental area in mathematics with connections to philosophy and computer science.

Week 1: Logic and the Philosophy of Mathematics (Example)

• Introduction to syntax, semantics, and pragmatics.
• Key concepts: Proof by induction, equivalence, contraposition, reductio ad absurdum, modus ponens, de Morgan's laws.
• Exploring disjunctive and conjunctive normal forms, expressive power, and the classification of connectives.

Week 2: Propositional and Predicate Logic (Example)

• Natural deduction proof system: Verifiability, soundness, and completeness.
• Predicate logic and its limitations.
• Topics like topology, generalisation, and expressive adequacy.

Note: This is an example structure. The actual content may vary depending on the tutor’s expertise and student preferences. Students will have the opportunity to discuss their learning goals with admissions to tailor the course.

By the end of the course, students may:

• Understand foundational concepts in logic, including propositional and predicate logic.
• Gain confidence in solving logic puzzles and applying logical reasoning to mathematical problems.
• Develop critical thinking and analytical skills essential for pursuing advanced studies in mathematics, computer science, and related fields.
• Learn to work independently and collaboratively on challenging problems.

Note: Learning objectives may vary based on student interests, which will be discussed during the admissions process.

Students are encouraged to do pre-course preparation to maximise their learning. Suggested resources include:

Read:

• Introduction to Logic by Patrick Suppes: Google Books
• Explore online resources on propositional logic and predicate logic: Khan Academy - Logic

Optional Extension:

• Research an interesting logic puzzle or mathematical problem and come prepared to share it with the class.

Note: These are example resources. Specific materials may vary depending on tutor and student preferences. Students will be informed of the required materials in advance to allow enough time to prepare.

This course provides an excellent foundation for students interested in mathematics, logic, computer science, and related fields. It introduces critical concepts in logical reasoning and offers practical skills in problem-solving. The course also encourages independent thinking, helping students build a solid foundation for further academic studies in math and science.

You are expected to:

• Actively participate in seminars, group discussions, and problem-solving sessions.
• Complete independent study assignments, including homework and logic exercises.
• Engage with peers in group discussions, contributing to collaborative problem-solving and critical thinking.

The course is designed to develop logical reasoning and problem-solving skills while encouraging participation and collaboration.

For students aged 13-15, Oxford Summer Courses takes safeguarding seriously. All staff are DBS-checked and trained in safeguarding policies. We offer 24/7 on-site security, with supervision and curfews to maintain a safe environment. Our safeguarding policies are designed to balance growing independence with necessary safety measures, ensuring students feel supported.