Problem #PRU-88065

Problemas Matemáticas Discretas Teoría de conjuntos y lógica Lógica matemática Lógica matemática (otra)

Problem

One day a strange notebook was found on the stairs. It contained one hundred statements:

“There is exactly one incorrect statement in this notebook”;

“There are exactly two incorrect statements in this notebook”;

“There are exactly three incorrect statements in this notebook”;

...

“There are exactly one hundred incorrect statements in this notebook.”

Are any of these statements true, and if so, which ones?