Thales's trickery - a photo on Flickriver

Thales's trickery

Models : Toodles Telling and Hope Something

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In a mathematics class, in high school, my teacher introduced us to a famous, but very simple proof, which concluded that 1 = 2. Then, with a greedy smile, he told us: "An error crept into the proof. What?". There were two or three of us who were very talented and well above the rest. Quite quickly, one of them said, "Here, in this line of the proof, the denominator formula evaluates to zero. But we cannot divide by zero ". Our math teacher congratulated the young student. The embarrassment or admiration of some, and the pride of the other, made us forget the essential : who decreed that we could not divide by zero ? What does divide by zero mean ? What would it look like in our world ?

It seems that logic and mathematics have carefully avoided dealing with embarrassing subjects. Zero and infinity are objects that they manipulate with tweezers. We live in a world composed of a limited number of elementary forms, and everything must be able to be described in this assembly. Science is a giant puzzle where there is always a piece missing.

Insidiously, the idea of division by zero has settled in my mind. At first, like my comrades, I joined the braying crowd. I said laughingly, carefree and a little silly : "No ! We can not divide by zero! " But throughout my life, I have heard other axioms that strangely resembled this music, and I was no longer convinced: "Yes ! Arabs are dangerous terrorists ! Yes ! Lesbians and gays are deviants ! " Where my math teacher asked us not to go beyond the zero line, those who affirmed these other evidences did not hesitate to cross the red line in the name of their truth.

Today, I understand division by zero very well, but in secret. Certainly, going beyond this limit is a risky journey in a world where everything is equivalent, undifferentiated. Thales, Pythagoras and Euclid have established a language that allows us to see the world comfortably seated in an armchair. But if all is the same and equal, but the chair is reversed, nothing makes sense. The puzzle is no longer composed of small pieces that come together and in which I, my consciousness, the consciousness of the other, the face of my lover, are inserted by forcing a little, because they do not fit not perfectly to the surrounding pieces. In this jigsaw puzzle, where I can divide by zero, all the pieces are different but are not distinguishable in any way and they are all connected to each other. They have no edge, no limit. I believe that what connects them is love.

Of course, I know that I cannot live physically in a world like this, where every moment of my life would be a switch to an abyss of undifferentiation. I am on earth, I am humble, I am alive. But the math lesson is a lesson in ethics. The other, I can only love him, because I am part of him and he is part of me. We are connected. And the other is not a simple puzzle-piece.

Taken on: November 7, 2019

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