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We count in sets of ten. This seems natural to us because we have ten fingers. However the ancient Babylonians used different units, which is why we measure time in units of 60 minutes and clock-faces have 12 hours. We need not use sets of ten, any number would do. Mathematicians call this modular arithmetic. So we count in modulus ten. When perfect squares and modular arithmetic are combined strange and unexpected things happen. A...


 philosophy mathematics measurement decimal Fermat nature
A fractal is generally "a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole," a property called self-similarity.
 Wikipedia philosophy mathematics fractal nature
In mathematics, chaos theory describes the behavior of certain dynamical systems – that is, systems whose states evolve with time – that may exhibit dynamics that are highly sensitive to initial conditions (popularly referred to as the butterfly effect).
 Wikipedia philosophy mathematics complexity nature chaos
In 1992, Pope John Paul said the church's denunciation of Galileo's work had been a tragic error. ... Pope Benedict XVI said an understanding of the laws of nature could stimulate appreciation of God's work. ... Why not simply appreciating nature's work? Tomáš J. Fülöpp


 Galileo Galilei pope nature science Vatican
Afghanistan has established its first national park in a spectacular region of deep blue lakes separated by natural dams of travertine, a mineral deposit. Band-e-Amir is visited by thousands of Afghans and pilgrims, though foreign tourism stalled with the increase in violence since 1979.


 Band-e-Amir nature Afghanistan national park lake
From its extraction through sale, use and disposal, all the stuff in our lives affects communities at home and abroad, yet most of this is hidden from view. The Story of Stuff is a 20-minute, fast-paced, fact-filled look at the underside of our production and consumption patterns. The Story of Stuff exposes the connections between a huge number of environmental and social issues, and calls us together to create a more sustainable and just...
 consumerism sustainability environment resource nature economy pollution guilt activism design obsolescence advertisement recycling happiness government corporation waste
The "theory of everything" is one of the most cherished dreams of science. If it is ever discovered, it will describe the workings of the universe at the most fundamental level and thus encompass our entire understanding of nature. It would also answer such enduring puzzles as what dark matter is, the reason time flows in only one direction and how gravity works. Small wonder that Stephen Hawking famously said that such a theory...


 physics universe theory mathematics cosmology relativity truth nature
Ecuador has agreed to refrain from drilling for oil in a pristine Amazon rainforest reserve in return for up to $3.6bn in payments from rich countries.


 Ecuador oil Amazon biodiversity nature blackmail