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 things distant yet near. There are others that are near yet distant
- There are three plane regions that share exactly the same boundary
- The word 'fraction' derives from the Latin fractio - to break. However, there are continuous fractions
- Sometimes in order to add one has to take the difference
- You can position 10 defenders of a square castle so that on every side there will be 5 men
- At any given time in New York there live at least two people with the same number of hairs
- There is something the dead eat but if the living eat it, they die
- One can cut a pie into 8 pieces with three movements
- Almost every integer has the digit 3 in it
- For every object there is a distance at which it looks its best
- There are really impossible things
- There are really impossible things
- In the sequence of all integers, there are arbitrary long runs with no primes
- There are three plane regions that share exactly the same boundary
- Much as with people, there are irrational, perfect, complex numbers
- To get cafe au lait one should carry coffee to milk and not milk to coffee
- Every infinite set contains uncountably many nested subsets
- As in philosophy, there are transcendental numbers
- In some circumstances, an index may have a content of its own
- 0!=1
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Last updated: July 6, 2018 What has changed? |
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