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 njwildberger.com
Logical difficulties in modern mathematics | njwildberger: tangential thoughts
| | micromath.wordpress.com
Donald Knuth: Calculus via O notation | Mathematics under the Microscope
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| | Continuing the theme of alternative approaches to teaching calculus, I take the liberty of posting a letter sent by Donald Knuth to to the Notices of the American Mathematical Society in March, 1998 (TeX file). Professor Anthony W. Knapp P O Box 333 East Setauket, NY 11733 Dear editor, I am pleased to see so...
| | www.quantamagazine.org
Why Mathematical Proof Is a Social Compact | Quanta Magazine
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| | Number theorist Andrew Granville on what mathematics really is - and why objectivity is never quite within reach.
| | www.thebigquestions.com
The Generalist at Steven Landsburg | The Big Questions: Tackling the Problems of Philosophy with Ideas from Mathematics, Economics, and Physics
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| | dominiczypen.wordpress.com
Making critical graphs as regular as possible | Musings on general topology and orderings
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| Suppose you want to have a graph $latex G = (V,E)$ with chromatic number $latex \chi(G)$ equaling some value $latex k$, such that $latex G$ is minimal with this property. So you end up with a $latex k$-(vertex-)critical graph. It is easy to construct critical graphs by starting with some easy-to-verify example like $latex C_5$...