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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

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
Ray Garner $155
$155
CLOSED
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
Carlos Bovell $155
$155
ENROLL

AoPS Holidays

There are no classes May 23 ‐ 25, July 3 ‐ 5, September 5 ‐ 7, October 31, November 23 ‐ 29, and December 21 ‐ January 3, 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 was the best and most enjoyable math course I have ever taken (and this is coming from an engineering major who sat through a lot of math/engineering classes). I had never learned geometry well back in high school and was only really good at the Pythagorean theorem/SAT geometry type stuff, so I really wanted to finally address this weak area of mine. Needless to say, this course went above and beyond my expectations. I have learned so much that I can now solve almost any Alcumus geometry problem, as well as most AMC geometry problems I've encountered, where just 5 months ago I could barely do any slightly tricky geometry problem.