Venn Street Review: The Venn Diagram Was Not Invented by Venn and He Did Not Call It That

Venn Street Review: The Venn Diagram Was Not Invented by Venn and He Did Not Call It That

Euler did it first, Venn formalised it, and the name was given by somebody else afterwards

Venn Street Records holds a 4.4 from twelve hundred and sixteen reviews, charges ten to thirty pounds, and the diagram in the name was not invented by Venn, and he never called it that.

Euler did it first

Which is not really in dispute.

Leonhard Euler – who is one of the greatest mathematicians who has ever lived – was using overlapping circles to represent logical relationships a century earlier.

They are called Euler diagrams, and they are still used, and they are not the same thing.

The Venn diagram. Euler did it first. And Venn never called it that.

And the difference is the whole point

Which almost nobody knows, and which is genuinely elegant.

An Euler diagram shows only the relationships that actually exist.

If no cats are dogs, you draw two circles not touching.

And a Venn diagram shows every possible combination, whether or not anything is in it – and then you shade the ones that are empty.

So a Venn diagram of cats and dogs has an overlapping region, and you shade it out to say: there is nothing here.

Which is a completely different logical claim.

Euler says here is what there is. Venn says here is everything that could be, and here is what is not.

Which is a stronger statement

And that is precisely why Venn’s version won.

Because it makes the absence visible.

It forces you to consider the combination you had not thought of, and then to say explicitly that it is empty.

A method that makes you enumerate what is not there is worth more than one that lets you forget it.

And he did not name it

Because Venn called them Eulerian circles.

He was crediting the man he had built on.

And the term Venn diagram was applied by somebody else, decades later, and it stuck.

Which is the finding

Eight postcodes and thirteen hundred and forty-two articles.

The name goes to whoever was standing nearest the money.

And a thing exists, nobody names it at the time, and a name is supplied later by somebody who needed one.

Art Deco was named in the 1960s. The Green Man in 1939. The Wars of the Roses in the nineteenth century.

And the most famous diagram in the world is named after a man who attributed it to somebody else.

And it breaks at four

Which is the fact that finishes it, and almost nobody knows it.

Because you cannot draw a proper Venn diagram of four sets with circles.

It is geometrically impossible. Four circles cannot be arranged to produce all sixteen required regions.

So you must use ellipses – and Venn worked that out himself, and drew one.

And beyond that it gets rapidly grotesque: a six-set Venn diagram is a genuinely strange object, and constructing them is a small and cheerful corner of mathematics.

The Prat’s editorial desk finds it delightful that the most familiar diagram in the world stops working at four.

Verdict

Good bar, honest number on a large sample.

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