It's a new school year! Make it the best yet with our math, computer science, contest, and science courses!

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

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
CLOSED
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 September 5 ‐ 7, November 23 ‐ 29, December 21 ‐ January 3, February 13 - 15, May 29 ‐ May 31, and July 3 - July 5, 2027.

Topics

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

As someone who is a first-time olympiad taker, WOOT was very helpful. I was introduced to using general techniques like induction, which was very helpful to me. I have also learned subject-specific methods for solving problems, such as, for instance, the nine-point circle. The practice olympiads and AIMEs were very helpful, especially the olympiad, where I got to try solve original olympiad problems that I didn't see a few months ago on the forums. The feedback was also very helpful, giving me advice on how to present my solutions and word my arguments. Overall, I am very impressed with WOOT. I will definitely be taking it in future years to broaden my mathematical knowledge and improve my problem solving skills. Thank you all for the wonderful experience!