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...
- There are many things that can be multiplied
- There is order in chaos
- Sometimes in order to add one has to take the difference
- In the sequence of all integers, there are arbitrary long runs with no primes
- A continuous linear function must have the form f(x)=ax. Discontinuous linear functions look dreadful
- At any given time in New York there live at least two people with the same number of hairs
- Sometimes in order to add one has to take the difference
- Curves of infinite length may enclose finite areas
- You can position 10 defenders of a square castle so that on every side there will be 5 men
- Among all shapes with the same perimeter a circle has the largest area
- Bisector of an imaginary angle may be real
- There is something the dead eat but if the living eat it, they die
- There is order in chaos
- For every object there is a distance at which it looks its best
- In a group of 23 people, at least two have the same birthday with the probability greater than 1/2
- As in the art, there are imaginary and surreal numbers
- The only triangle with rational sides and angles is equilateral.
- A continuous linear function must have the form f(x)=ax. Discontinuous linear functions look dreadful
- There are really impossible things
- You are wrong if you think Mathematics is not fun
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Last updated: July 6, 2018 What has changed? |
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