The argument of a fool with a mathematician

Fool "authoritative people" said that two and two five. With this news, he comes to mathematics. The mathematician is sitting at the table, immersed in work.

Fool: Twice two five.
Mathematician (absentmindedly): What?..
Fool: Twice two five!
Mathematician (laughs): No, fool, twice two is four.
Fool: No, five!
Mathematician: Four!
Fool: No, five!
Mathematician: Come here.

Fool comes to the table. The mathematician gets four pencils from the table and places them in front of him.

Mathematician: Look - here are two pencils. Twice two ... we add two pencils, we get four. See?

The face of the fool depicts the terrible torments of the mind.

Fool (timidly, but with every word everything is more confident): Two plus two four, and two two five. Two plus two four! and twice two five! Haha
Mathematician: It's the same thing!
Fool (jumping joyfully): No, two plus two is four, and twice two is five! Twice two five ...
Mathematician: Well, look, we take two pencils, and twice two pencils will be four, two two by two ...
')

Keeps two pencils in fists.

Fool (triumphantly): Two plus two four, and twice two two five!

Now the face math depicts the terrible agony of mind. He lights a cigarette, and, bending his fingers and squinting at the smoke, he mumbles something under his breath and shrugs. The fool walks triumphantly around the table. His face shines.

Mathematician (puts out a cigarette): Come here ... Take two pencils into a fist. Got it? Bring it to the nose. Now look at the tip of your nose.
Fool: I'm scared. And what if I stay so sideways? ..
Mathematician: You will not stay. Come on! Made? Now count the pencils ...

The fool's forehead wrinkles with terrible agony, his mouth is half-open and skewed.

Mathematician: How many pencils do you see?
Fool (slowly, without stopping to consider his fist): Che-you-re!
Mathematician: Four?
Fool: Yeah ...
Mathematician: Doubled?
Fool: Yeah ...
Mathematician: So it turns out that twice two is four, not five, right?
Fool (without stopping to consider his fist): Yeah ...

Pause...

Mathematician: So you can become an oblique. What are you not taking his eyes off of him?
Fool: Yes, I do not understand ... but where is the fifth pencil ?!
Original