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...
- Every infinite set contains uncountably many nested subsets
- Altitudes have ears, foot, stem, and root
- Curves of infinite length may enclose finite areas
- There are really impossible things
- Much as with people, there are irrational, perfect, complex numbers
- A continuous linear function must have the form f(x)=ax. Discontinuous linear functions look dreadful
- Simple quadrilaterals tessellate the plane
- There are three plane regions that share exactly the same boundary
- In a group of 23 people, at least two have the same birthday with the probability greater than 1/2
- Falsity implies anything
- There are trisectable angles that are not constructible
- There are three plane regions that share exactly the same boundary
- There are things distant yet near. There are others that are near yet distant
- There is order in chaos
- There are trisectable angles that are not constructible
- Every infinite set contains uncountably many nested subsets
- Altitudes have ears, foot, stem, and root
- There are three plane regions that share exactly the same boundary
- At any given time in New York there live at least two people with the same number of hairs
- Simple Quadrilaterals Tessellate the Plane
Last updated: July 6, 2018 What has changed? |
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