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 numbers are in a sense perfect while there is little doubt that perfect numbers are complex
- There are trisectable angles that are not constructible
- Every composite number is the product of some factors and also the sum of the same numbers
- Falsity implies anything
- A straight line has dimension 1, a plane 2. Fractals have mostly fractional dimension
- There are many things that can be added
- Falsity implies anything
- There are trisectable angles that are not constructible
- 0!=1
- You can add apples and oranges
- You can add apples and oranges
- Some numbers are square, yet others are triangular
- There is a simple solution to the affirmative action problem
- You can position 10 defenders of a square castle so that on every side there will be 5 men
- There are many things that can be multiplied
- Complex numbers are in a sense perfect while there is little doubt that perfect numbers are complex
- Sets may be thick, thin and normal
- You can position 10 defenders of a square castle so that on every side there will be 5 men
- There is something the dead eat but if the living eat it, they die
- Simple quadrilaterals tessellate the plane
Last updated: July 6, 2018 What has changed? |
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