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...
- The Length of the diagonal of the unit square equals the square root of 2
- There are things distant yet near. There are others that are near yet distant
- In some circumstances, an index may have a content of its own
- Sometimes in order to add one has to take the difference
- Some numbers are square, yet others are triangular
- A continuous linear function must have the form f(x)=ax. Discontinuous linear functions look dreadful
- You can't compare two complex numbers
- Falsity implies anything
- Demographic tests show that the person least likely to buy Wired magazine is an American schoolteacher
- You are wrong if you think Mathematics is not fun
- Irrational number to an irrational power may be rational
- There are trisectable angles that are not constructible
- Sets may be thick, thin and normal
- You can position 10 defenders of a square castle so that on every side there will be 5 men
- One is morally obligated not to do anything impossible
- Altitudes have ears, foot, stem, and root
- Altitudes have ears, foot, stem, and root
- A continuous linear function must have the form f(x)=ax. Discontinuous linear functions look dreadful
- Irrational number to an irrational power may be rational
- Sphere has two sides. However, there are one-sided surfaces
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Last updated: July 6, 2018 What has changed? |
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