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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
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
$150
$150
ENROLL

AoPS Holidays

There are no classes:
  • 2025: May 24 ‐ 26, July 4 ‐ 6, August 29 ‐ September 1, October 31, November 24 ‐ November 30, and December 20, 2025 ‐ January 2, 2026
  • 2026: May 23 ‐ 25, July 4, August 29 ‐ September 7, October 31, November 23 ‐ November 29

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 significantly improved my problem solving skills and my knowledge of math in general.