Unintenligiblenceable

Two kids were sitting at a lunch table. One was quite a joke-teller, so he started telling a joke he had heard.
“There are three types of people in this world,” he said, “those who can count and those who can’t.”
The other kid said, “But what about the other type of person?”
“There is no other type!” the first kid said, “that was the joke!”
“No! You said it wrong! You didn’t say what the third type was!”
“That was the joke! TWO TYPES of people in this world! Those who can count, AND THOSE WHO CANT!”
“But you didn’t say what the third type was!”
So, after many hours, the second boy FINALLY understood the joke.