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
- Much as with people, there are irrational, perfect, complex numbers
- In the sequence of all integers, there are arbitrary long runs with no primes
- How to write an equation of the union of two sets
- One is morally obligated to do everything impossible
- You can position 10 defenders of a square castle so that on every side there will be 5 men
- The only triangle with rational sides and angles is equilateral.
- Everything you can do with a ruler and a compass you can do with the compass alone
- There are curves that fill a plane without holes
- A continuous function may grow considerably virtually without changing
- In some circumstances, an index may have a content of its own
- How to write an equation of the union of two sets
- In some circumstances, an index may have a content of its own
- There exist triangular numbers that are also square
- Some numbers are lucky. 13 is one
- Irrational number to an irrational power may be rational
- Irrational number to an irrational power may be rational
- You can add apples and oranges
- 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
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Last updated: July 6, 2018 What has changed? |
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