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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

I really enjoyed this class. While taking WOOT, I learned about several interesting areas that I had not previously studied, including functional equations, generating functions, vectors/complex numbers, and convexity. The feedback from the practice Olympiads was useful in that it told me exactly where my solutions failed so I could investigate how to fix them. However, I feel that the most valuable aspect of this class was the problems. WOOT had few problems that could be solved immediately with a standard procedure; instead, the problems took some time to solve, challenging me to consider many solution methods before I found the one that worked.