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Course Catalog
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Before Prealgebra Ready for Prealgebra After Prealgebra Some Algebra 1 After Algebra 1 After Geometry After Algebra 2 After Precalculus Beyond Calculus
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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!

4 days
4 days  

Schedule

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
Jeffery Yu $145
$145
ENROLL

AoPS Holidays

There are no classes May 25 ‐ 27, July 4, August 30 ‐ September 2, October 31, November 25 ‐ December 1, and December 21, 2024 ‐ January 3, 2025.

Lessons

Lesson 1 Paradoxes in Philosophy
Lesson 2 Paradoxes in Mathematics
Lesson 3 Hilbert's Grand Hotel and Infinite Cardinals
Lesson 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.