In a recent paper, two mathematicians showed that a particular pattern is unavoidable when fractions are categorized.

Fractions are an important building block in students’ mathematical foundations—and notoriously difficult to master.

But it turns out that the conclusions they draw in that video are literally correct. You can add an infinite series of positive numbers, and they’ll add up to a negative fraction.

Studies have linked confusing English number names to weaker arithmetic skills in children. Chinese, Japanese, Korean and Turkish express math concepts more clearly.

Jonathan Sondow, Kieren MacMillan, Primary Pseudoperfect Numbers, Arithmetic Progressions, and the Erdős-Moser Equation, The American Mathematical Monthly, Vol. 124, No. 3 (March 2017), pp. 232-240 ...