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...
- Complex number to a complex power may be real
- One is morally obligated not to do anything impossible
- One is morally obligated to do everything impossible
- Falsity implies anything
- One can drill holes that are almost square
- Complex numbers are in a sense perfect while there is little doubt that perfect numbers are complex
- As in philosophy, there are transcendental numbers
- To get cafe au lait one should carry coffee to milk and not milk to coffee
- 12+3-4+5+67+8+9=100 and there exists at least one other representation of 100 with 9 digits in the right order and math operations in between
- You can't add apples and oranges but you can add their shapes
- Complex numbers are in a sense perfect while there is little doubt that perfect numbers are complex
- A straight line has dimension 1, a plane 2. Fractals have mostly fractional dimension
- A continuous function may grow considerably virtually without changing
- Much as with people, there are irrational, perfect, complex numbers
- The only triangle with rational sides and angles is equilateral.
- Curves of infinite length may enclose finite areas
- The Length of the diagonal of the unit square equals the square root of 2
- To get cafe au lait one should carry coffee to milk and not milk to coffee
- Complex number to a complex power may be real
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Last updated: July 6, 2018 What has changed? |
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