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 are wrong if you think Mathematics is not fun
- Sets may be thick, thin and normal
- How to write an equation of the union of two sets
- Sets may be thick, thin and normal
- In a group of 23 people, at least two have the same birthday with the probability greater than 1/2
- There are really impossible things
- Sphere has two sides. However, there are one-sided surfaces
- A straight line has dimension 1, a plane 2. Fractals have mostly fractional dimension
- There are things distant yet near. There are others that are near yet distant
- In the sequence of all integers, there are arbitrary long runs with no primes
- A continuous linear function must have the form f(x)=ax. Discontinuous linear functions look dreadful
- At any given time in New York there live at least two people with the same number of hairs
- cos(36) = (1 + sqrt(5))/4
- Every composite number is the product of some factors and also the sum of the same numbers
- Bisector of an imaginary angle may be real
- C - C = [-1, 1]
- The word 'fraction' derives from the Latin fractio - to break. However, there are continuous fractions
- Bisector of an imaginary angle may be real
Last updated: July 6, 2018 What has changed? |
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