Problem #PRU-100440

Problems Set theory and logic Mathematical logic

Problem

Once I found a really strange notebook. There were 100 statements in the notebook, namely

“There is exactly one false statement in this notebook.”

“There are exactly two false statements in this notebook.”

“There are exactly three false statements in this notebook.”

...

“There are exactly one hundred false statements in this notebooks.”

Are there any true statements in this notebook? If there are some true statements, then which ones are true?