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...
- In some circumstances, an index may have a content of its own
- Much as with people, there are irrational, perfect, complex numbers
- One is morally obligated to do everything impossible
- A continuous function may grow considerably virtually without changing
- Some numbers are square, yet others are triangular
- cos(36) = (1 + sqrt(5))/4
- There are really impossible things
- There are just five regular polyhedra
- Sets may be thick, thin and normal
- In the sequence of all integers, there are arbitrary long runs with no primes
- For every object there is a distance at which it looks its best
- There are many things that can be multiplied
- A clock never showing right time might be preferable to the one showing right time twice a day
- Some numbers are square, yet others are triangular
- Every infinite set contains uncountably many nested subsets
- There are really impossible things
- One can drill holes that are almost square
- You can't add apples and oranges but you can add their shapes
- There exist triangular numbers that are also square
- There are just five regular polyhedra
Last updated: July 6, 2018 What has changed? |
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