Featured Challenges of the Anthropocene

Mathematical Problems

Cool Number Tricks

Let’s admit it, most of us are intellectually lazy, and thinking is a strange and hard activity, because it requires effort. Even philosophy, the prime discipline devoted to thinking, mostly circulates the ideas of other people, and has some similarity to journalism. Real thinking...

/ September 13, 2016

Mathematical Infinity

"There are two approaches to mathematical infinity. It can be seen as defining limiting cases that can never be realized or as existing in some philosophical sense. These mathematical approaches parallel approaches to meaning and value that I call absolutist...

/ February 12, 2012

Unsolved Millenium Problems

The Clay Institute offers a prize to anyone who can solve one of these Millenium problems.  Here is a description of the problems from the Institute’s website: Birch and Swinnerton-Dyer Conjecture Mathematicians have always been fascinated by the problem of...

/ November 23, 2011

Poincaré Conjecture

This explanation is quoted from the  The Clay Mathematics Institute, Poincaré Conjecture. (solved by: Grigoriy Perelman, 2002-3) “If we stretch a rubber band around the surface of an apple, then we can shrink it down to a point by moving...

/ November 22, 2011

The Number Pi

From Wikipedia: “π (sometimes written pi) is a mathematical constant that is the ratio of any circle’s circumference to its diameter. π is approximately equal to 3.14 in the usual decimal notation. Many formulae in mathematics, science, and engineering involve...

/ November 21, 2011

Mathematical Problems

Here are some unsolved mathematical problems: Goldbach’s conjecture: Can every even integer greater than 2 be written as a sum of two primes? Twin Prime Conjecture: A twin prime is a pair of primes with difference 2, such as 11...

/ November 8, 2011