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Jean Piaget

Jean Piaget (1896-1980) was one of the forerunners of cognitive psychology. He examined the development of the cognitive functions in children, and gave us more insight into the world of children. Knowledge systems evolve not only through their own inherent...

/ October 14, 2013

Chimpanzee Memory

Chimpanzees split from the human branch of evolution about four to six million years ago; they are our closest relatives in the animal world. They use tools like spears, they have limited language capability, and they are sophisticated group hunters....

/ February 14, 2013

The German Coast Guard

A few points need to be made about the video clip below: Germany does not have a long coastline, therefore the German Coast Guard probably did not receive the kind of funding it needs. Advertisement can be brilliant; I think...

/ January 13, 2013

Hyperbolic Space

Here are two computer-animated videos from Youtube that demonstrate some properties of knots, the relations between knots and space, and how we arrive at hyperbolic space. Easy to watch, and very informative.   Part Two:  

/ January 13, 2013

Nature by Numbers

Below there is  an interesting video inspired by numbers, geometry and nature, created by Cristóbal Vila. Nature looks complex, but the underlying principles are simple, for instance the Fibonacci Series of numbers.  The natural beauty and complexity we see all...

/ March 3, 2012

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

Klein Bottle

The Klein bottle is the next step up from a Moebius strip.  A Moebius Strip is a two-dimensional object in three-dimensional space, and a Klein Bottle is a one-dimensional object in three-dimensional space. Therefore, it has to intersect itself in...

/ November 21, 2011