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Paradoxes and Infinity

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!

4 days

4 days  

Schedule

Mon, Tue, Wed & Thurs
Jul 15 - Jul 18
7:30 - 9:00
PM ET
Jul 15 - Jul 18
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
$145
$145
ENROLL

AoPS Holidays

There are no classes May 25 ‐ 27, July 4, August 30 ‐ September 2, October 31, November 25 ‐ December 1, and December 21, 2024 ‐ January 3, 2025.

Lessons

Lesson 1 Paradoxes in Philosophy
Lesson 2 Paradoxes in Mathematics
Lesson 3 Hilbert's Grand Hotel and Infinite Cardinals
Lesson 4 Zeno's Paradox of Dichotomy

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.