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...
- Irrational number to an irrational power may be rational
- Falsity implies anything
- One can cut a pie into 8 pieces with three movements
- Among all shapes with the same perimeter a circle has the largest area
- For every object there is a distance at which it looks its best
- Demographic tests show that the person least likely to buy Wired magazine is an American schoolteacher
- You can't add apples and oranges but you can add their shapes
- 1/3 + 1/4 = 7/12
- One can drill holes that are almost square
- There exist triangular numbers that are also square
- A continuous linear function must have the form f(x)=ax. Discontinuous linear functions look dreadful
- Bisector of an imaginary angle may be real
- In a group of 23 people, at least two have the same birthday with the probability greater than 1/2
- There exist triangular numbers that are also square
- Some numbers are square, yet others are triangular
- To get cafe au lait one should carry coffee to milk and not milk to coffee
- There are trisectable angles that are not constructible
- Complex numbers are in a sense perfect while there is little doubt that perfect numbers are complex
- One can drill holes that are almost square
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Last updated: July 6, 2018 What has changed? |
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