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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!

6 hours

6 hours  

Schedule

Mon, Tue, Wed & Thurs
Jul 14 - Jul 17
7:30 - 9:00
PM ET
Jul 14 - Jul 17
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
$150
$150
CLOSED

AoPS Holidays

There are no classes August 29 ‐ September 1, October 31, November 24 ‐ November 30, December 20 ‐ January 2, May 23 ‐ 25, and July 3 ‐ 5, 2026.

Topics

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

I think this course was really fun and challenging. I learned a lot, and really boosted my counting skills. I saw many cool topics, and loved it. Thanks AoPS!