I’d like to finish up the paradox series with a bit of mathematical humour, using proof by contradiction to show that *all natural numbers are interesting*.

Let U be the set of all uninteresting natural numbers:

U := { n ∈ N | n is not interesting }Because the set of natural numbers is

*well ordered*, any non-empty subset of the natural numbers must have a smallest element. But the “smallest uninteresting natural number” is certainly interesting! So there can be no smallest element of U, and, thus, U must be the empty set:

U = {}∴ ∀ n ∈ N, n is interesting

A bit more mathematical humour to go along with that:

There are 3 kinds of people in the world: those who can count, and those who can’t.

There are 10 kinds of people in the world: those who understand the binary system, and those who don’t.

Aleph-null bottles of beer on the wall,

Aleph-null bottles of beer,

Take one down, pass it around,

Aleph-null bottles of beer on the wall...

And you thought mathematicians couldn’t be funny. Well!

## 3 comments:

Q: What do you get if you divide the cirucmference of a jack-o-lantern by its diameter?

A: Pumpkin Pi!

Q: What does the zero say to the the eight?

A: Nice belt!

Q: What is the difference between a Ph.D. in mathematics and a large pizza?

A: A large pizza can feed a family of four...

(ok, I googled math jokes...)

That was an odd coincidence. I went to i am bossy right after posting my comment on your site.

Q: Why is Sicilian-style pizza a contradiction?

A: Because “pie are squared” describes a circle.

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