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
- Bisector of an imaginary angle may be real
- To get cafe au lait one should carry coffee to milk and not milk to coffee
- Every composite number is the product of some factors and also the sum of the same numbers
- Among all shapes with the same area circle has the shortest perimeter
- There are many things that can be multiplied
- One is morally obligated to do everything impossible
- One is morally obligated to do everything impossible
- 0!=1
- Falsity implies anything
- Demographic tests show that the person least likely to buy Wired magazine is an American schoolteacher
- You can add apples and oranges
- Every composite number is the product of some factors and also the sum of the same numbers
- There is a simple solution to the affirmative action problem
- Complex number to a complex power may be real
- cos(36) = (1 + sqrt(5))/4
- There are trisectable angles that are not constructible
- In some circumstances, an index may have a content of its own
- No two integers are equidistant from the square root of 2
- Much as with people, there are irrational, perfect, complex numbers
Last updated: July 6, 2018 What has changed? |
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