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
- A straight line has dimension 1, a plane 2. Fractals have mostly fractional dimension
- A continuous function may grow considerably virtually without changing
- 1/3 + 1/4 = 7/12
- Simple Quadrilaterals Tessellate the Plane
- In some circumstances index equals the content
- The word 'fraction' derives from the Latin fractio - to break. However, there are continuous fractions
- One can drill holes that are almost square
- The word 'fraction' derives from the Latin fractio - to break. However, there are continuous fractions
- 12+3-4+5+67+8+9=100 and there exists at least one other representation of 100 with 9 digits in the right order and math operations in between
- Almost every integer has the digit 3 in it
- There is something the dead eat but if the living eat it, they die
- Some numbers are square, yet others are triangular
- How to write an equation of the union of two sets
- There are really impossible things
- There exist triangular numbers that are also square
- Complex number to a complex power may be real
- Every infinite set contains uncountably many nested subsets
- There is something the dead eat but if the living eat it, they die
- Every composite number is the product of some factors and also the sum of the same numbers
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Last updated: July 6, 2018 What has changed? |
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