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...
- You can add apples and oranges
- At any given time in New York there live at least two people with the same number of hairs
- There is a simple solution to the affirmative action problem
- Complex numbers are in a sense perfect while there is little doubt that perfect numbers are complex
- In the sequence of all integers, there are arbitrary long runs with no primes
- Everything you can do with a ruler and a compass you can do with the compass alone
- Some numbers are lucky. 13 is one
- Among all shapes with the same perimeter a circle has the largest area
- The word 'fraction' derives from the Latin fractio - to break. However, there are continuous fractions
- A continuous function may grow considerably virtually without changing
- You can't add apples and oranges but you can add their shapes
- Among all shapes with the same area circle has the shortest perimeter
- No two integers are equidistant from the square root of 2
- One is morally obligated not to do anything impossible
- Curves of infinite length may enclose finite areas
- One can cut a pie into 8 pieces with three movements
- Bisector of an imaginary angle may be real
- C - C = [-1, 1]
- Almost every integer has the digit 3 in it
- There are many things that can be multiplied
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Last updated: July 6, 2018 What has changed? |
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