Live Discussion!
Game Jam: Scurry, Honeycombs, and Clueless is going on now!
Need Help?

Need help finding the right class? Have a question about how classes work?

Click here to Ask AoPS!

Special Seminar: 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

Sat & Sun
Apr 18 - Apr 19
4:00 - 7:00
PM ET  
Apr 18 - Apr 19
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
$155
$155
CLOSED
Mon, Tue, Wed & Thurs
Jul 13 - Jul 16
7:30 - 9:00
PM ET
Jul 13 - Jul 16
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
$155
$155
ENROLL
Sat & Sun
Dec 5 - Dec 6
4:00 - 7:00
PM ET  
Dec 5 - Dec 6
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
$155
$155
ENROLL

AoPS Holidays

There are no classes May 23 ‐ 25, July 3 ‐ 5, September 5 ‐ 7, October 31, November 23 ‐ 29, December 21 ‐ January 3, and February 13 - 15 2027.

Topics

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

This class dramatically enhanced my ability to solve Olympiad-level geometry problems, as well as my problem solving skills in general. The instruction was some of the best I've ever seen. Not only did the class explain the techniques for solving various problems, but it also gave the motivation for thinking of a particular technique for a problem. I can now complete problems that used to take me weeks to solve in a couple hours!