
One math problem a week, delivered to your inbox.
| Platform | Pricing | Only free issues | Publishes | Weekly | |
|---|---|---|---|---|---|
| Issues | 71 | Founded | 2 years ago | Last Issue | 6 months ago |
| Active | |||||

I will start with a somewhat provocative statement:
The set of ALL positive integers has the same size as the set of EVEN positive integers.
sounds wrong but it’s true!
At first, this sentence seems obviously wrong - I mean, one set is a...
When I was in undergrad, I was endlessly enamored with topology. I loved how it took intuitive ideas like “wiggle room” and “nearness”, and turned them into precise math.
At the heart of the subject is one notion:
the open set.
So in thi...
In math, it’s very common to see two objects that look superficially different on the outside, but are actually the same on the inside.
We’ll look at two such examples in this post:
the 2-D plane
the set of real-valued continuous...
In the early 1900s, a French graduate student named Henri Lebesgue was looking for a thesis topic.
Henri Lebesgue
He asked a very simple sounding question:
How do you measure the size of a set of points?...
When I was in high school, my math teacher asked the class a question which I still think about quite often.
Can you show that, at any time, there are two different points on the Equator that have the same temperature?
temperature map of...
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