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...
- A continuous linear function must have the form f(x)=ax. Discontinuous linear functions look dreadful
- There are curves that fill a plane without holes
- You can add apples and oranges
- No two integers are equidistant from the square root of 2
- Simple Quadrilaterals Tessellate the Plane
- Demographic tests show that the person least likely to buy Wired magazine is an American schoolteacher
- There are things distant yet near. There are others that are near yet distant
- Almost every integer has the digit 3 in it
- Sets may be thick, thin and normal
- Complex number to a complex power may be real
- Almost every integer has the digit 3 in it
- One can drill holes that are almost square
- One can drill holes that are almost square
- 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
- One is morally obligated to do everything impossible
- There is something the dead eat but if the living eat it, they die
- As in philosophy, there are transcendental numbers
- The word 'fraction' derives from the Latin fractio - to break. However, there are continuous fractions
- Complex numbers are in a sense perfect while there is little doubt that perfect numbers are complex
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Last updated: July 6, 2018 What has changed? |
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