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
- 1/3 + 1/4 = 7/12
- 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
- A continuous linear function must have the form f(x)=ax. Discontinuous linear functions look dreadful
- There is order in chaos
- A clock never showing right time might be preferable to the one showing right time twice a day
- The Length of the diagonal of the unit square equals the square root of 2
- cos(36) = (1 + sqrt(5))/4
- There is something the dead eat but if the living eat it, they die
- Bisector of an imaginary angle may be real
- You can add apples and oranges
- cos(36) = (1 + sqrt(5))/4
- There are curves that fill a plane without holes
- One is morally obligated to do everything impossible
- There are trisectable angles that are not constructible
- One is morally obligated not to do anything impossible
- There are many things that can be multiplied
- Irrational number to an irrational power may be rational
- Among all shapes with the same perimeter a circle has the largest area
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Last updated: July 6, 2018 What has changed? |
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