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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
Josh Zucker $150
$150
ENROLL
Sat & Sun
Sep 13 - Sep 14 		4:00 - 7:00
PM ET  –
Sep 13 - Sep 14
4:00 - 7:00 PM Eastern
3:00 - 6:00 PM Central
2:00 - 5:00 PM Mountain
1:00 - 4:00 PM Pacific
Click here to see more time zones
TBA $150
$150
ENROLL

AoPS Holidays

There are no classes July 4 ‐ 6, August 29 ‐ September 1, October 31, November 24 ‐ November 30, December 20 ‐ January 2, and May 23 ‐ 25, 2026.

Topics

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

In general, this course has been a delight for me and I'm sure the same goes for the other students. It used thought-out analyses of challenging problems from the AMC 10 test. The class was taught excellently by an intelligent instructor who went through and explained each problem step-by-step. This course was fun, easy to understand, logical, and above all helpful! I would definitely take another course by AoPS next time I get the chance.