Art of Problem Solving
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Course Catalog
Recommendations
Subject Courses
Before Prealgebra Ready for Prealgebra After Prealgebra Some Algebra 1 After Algebra 1 After Geometry After Algebra 2 After Precalculus Beyond Calculus
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MATHCOUNTS/AMC 8 AMC 10 AMC 12 AIME USAMO
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Science Courses
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Paradoxes and Infinity Seminar

In this class we'll explore several popular paradoxes and attempt to wrap our brains around the world of infinity. For example, we'll discover a hotel that's never full: somehow, this hotel can always add another guest, or two, or three. We'll also run into paradoxes about goats, haystacks, pop-quizzes and more. If you're interested in mind-bending ideas and theories and have a background in basic algebra, this class is for you!

2 days
2 days  

Schedule

Summer 2024This course will be offered in Summer 2024. Click here to join our mailing list to be notified when the course schedule is available.

Lessons

Lesson 1 Paradoxes
Lesson 2 Infinity

This was the first AoPS class I have taken, and I feel like it was lots of fun and the instructor was very helpful without giving away too many hints. The class also opened my eyes up to a lot of new possibilities and kind of made me feel very small in the sense that there is a vast amount of problem solving techniques and mathematics branches that I have yet to even hear about, much less learn or master. It was also my first online class, and I loved the flexibility it gave me in doing homework and keeping up with class.