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...
- As in philosophy, there are transcendental numbers
- Almost every integer has the digit 3 in it
- Falsity implies anything
- No two integers are equidistant from the square root of 2
- Some numbers are square, yet others are triangular
- 1/3 + 1/4 = 7/12
- There are just five regular polyhedra
- Sometimes in order to add one has to take the difference
- A clock never showing right time might be preferable to the one showing right time twice a day
- Sets may be thick, thin and normal
- There are just five regular polyhedra
- cos(36) = (1 + sqrt(5))/4
- Sphere has two sides. However, there are one-sided surfaces
- There are really impossible things
- Every composite number is the product of some factors and also the sum of the same numbers
- How to write an equation of the union of two sets
- Complex numbers are in a sense perfect while there is little doubt that perfect numbers are complex
- There are curves that fill a plane without holes
- 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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