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...
- Falsity implies anything
- C - C = [-1, 1]
- Sphere has two sides. However, there are one-sided surfaces
- Curves of infinite length may enclose finite areas
- Every infinite set contains uncountably many nested subsets
- There is something the dead eat but if the living eat it, they die
- There are just five regular polyhedra
- Some numbers are lucky. 13 is one
- There are things distant yet near. There are others that are near yet distant
- There is something the dead eat but if the living eat it, they die
- One is morally obligated to do everything impossible
- There are just five regular polyhedra
- Irrational number to an irrational power may be rational
- C - C = [-1, 1]
- Complex number to a complex power may be real
- As in philosophy, there are transcendental numbers
- One is morally obligated not to do anything impossible
- Falsity implies anything
- Two simple polygons of equal area can be dissected into a finite number of congruent polygons
- Complex number to a complex power may be real
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Last updated: July 6, 2018 What has changed? |
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