Congratulations Team USA, all of whom are AoPS WOOT alumni, for their 1st Place win at the 65th International Mathematical Olympiad! Discover WOOT.

Need Help?

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

Click here to Ask AoPS!

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
Jun 22 - Jun 23
4:00 - 7:00
PM ET  
Jun 22 - Jun 23
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
$145
$145
CLOSED
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
CLOSED
Sat & Sun
Aug 24 - Aug 25
4:00 - 7:00
PM ET  
Aug 24 - Aug 25
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
$145
$145
ENROLL
Sat & Sun
Nov 16 - Nov 17
4:00 - 7:00
PM ET  
Nov 16 - Nov 17
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
$145
$145
ENROLL

AoPS Holidays

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

Topics

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

This course has given me a confidence in math that I have never before had in my life. Everything about AoPS is different from the math that schools teach, even in the most elite courses. The explanation of concepts is different, and there are more challenging problems than just plugging values into a formula to find an answer. While I do have to admit that I have been pushed over and over again to the peak of my mathematical ability, I have also begun to see math, particularly geometry, as more of an art that I have begun to enjoy more and more. I feel that I am very lucky to have found AoPS, even if my age is older than most of the students in this course.