# Interactive Mathematics Miscellany and Puzzles

Raymond Smullyan, a Mathematician, Philosopher and author of several outstanding books of logical puzzles, tells, in one of his books, a revealing story. A friend invited him for dinner. He told Smullyan that his teenage son was crazy about Smullyan's books and could not wait to meet him. The friend warned Smullyan not to mention that he is a Mathematician and that Logic is a part of Mathematics because the young fellow hated Mathematics.

#### Having told this story, would it be wise to announce up front what this site is about? Perhaps against a better judgement, I've put together a manifesto that aims to explain the purpose of this site.

## By the way, did you know that...

- Almost every integer has the digit 3 in it
- How to write an equation of the union of two sets
- In a group of 23 people, at least two have the same birthday with the probability greater than 1/2
- Falsity implies anything
- Sometimes in order to add one has to take the difference
- There are things distant yet near. There are others that are near yet distant
- One is morally obligated to do everything impossible
- No two integers are equidistant from the square root of 2
- How to write an equation of the union of two sets
- The Length of the diagonal of the unit square equals the square root of 2
- There exist triangular numbers that are also square
- There are three plane regions that share exactly the same boundary
- 1/3 + 1/4 = 7/12
- No two integers are equidistant from the square root of 2
- There are three plane regions that share exactly the same boundary
- A straight line has dimension 1, a plane 2. Fractals have mostly fractional dimension
- To get cafe au lait one should carry coffee to milk and not milk to coffee
- One can cut a pie into 8 pieces with three movements
- At any given time in New York there live at least two people with the same number of hairs
- You can't compare two complex numbers

Last updated:
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February 22, 2018 |

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