# Did you know that..., part 2.

- Curves of infinite length may enclose finite areas.
- Falsity implies anything.
- There is order in chaos.
- To get
*cafe au lait* one should carry coffee to milk and not milk to coffee.
- Sets may be thick, thin and normal.
- In some circumstances index equals the content.
- In other circumstances, an index may have a content of its own.
- There are things distant yet near. There are others that are near yet distant.
- There are three plane regions that share exactly the same boundary.
- A continuous additive function must have the form f(x)=ax. Discontinuous linear functions look dreadful.
- A continuous function may grow considerably virtually without changing.
- You can't add apples and oranges but you can add their shapes.
- There are many things that can be added: numbers, vectors, matrices, spaces, shapes, sets, functions, equations, strings, chains...
- Among any two integers or real numbers one is larger, another smaller. But you can't compare two complex numbers.
- The only triangle with rational sides and angles is equilateral.
- 0!=1
- One is
*morally* obligated to do everything impossible.
- The word 'fraction' derives from the Latin fractio - to break. However, there are continuous fractions.
- For every object there is a distance at which it looks its best.
- At any given time in New York there live at least two people with the same number of hairs.
- Sometimes in order to add one has to take the difference.
- Demographic tests show that the person least likely to buy Wired magazine is an American schoolteacher.

Copyright © 1996-2018 Alexander Bogomolny