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...
- In some circumstances index equals the content
- 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
- There is something the dead eat but if the living eat it, they die
- Sometimes in order to add one has to take the difference
- Simple quadrilaterals tessellate the plane
- C - C = [-1, 1]
- There are really impossible things
- Sets may be thick, thin and normal
- Some numbers are square, yet others are triangular
- Some numbers are square, yet others are triangular
- Some numbers are square, yet others are triangular
- A continuous linear function must have the form f(x)=ax. Discontinuous linear functions look dreadful
- There is a simple solution to the affirmative action problem
- There are trisectable angles that are not constructible
- Almost every integer has the digit 3 in it
- At any given time in New York there live at least two people with the same number of hairs
- Much as with people, there are irrational, perfect, complex numbers
- Complex number to a complex power may be real
- Falsity implies anything
- At any given time in New York there live at least two people with the same number of hairs
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Last updated: July 6, 2018 What has changed? |
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