Mathematics, Information and Communication Sciences and Technologies in Western Brittany

As I understand the theory of period information doubling, this states that if we take one period of human information as being the time between the invention of the first hand axe, say around 50,000 BC and 1 AD, then this is one period of human information and we can measure it by how many human inventions we came up during that time. Then we see how long it takes for us to have twice as many inventions. This means that human information has doubled. As it turns out, after the first 50,000-year period, the second period is about 1500 years, say around the time of the Renaissance. By then we have twice as much information. To double again, human information took a couple of hundred years. The period speeds up—between 1960 and 1970, human information doubled.
As I understand it, at the last count human information was doubling around every 18 months. Further to this, there is a point sometime around 2015 where human information is doubling every thousandth of a second. This means that in each thousandth of a second we will have accumulated more information than we have in the entire previous history of the world. At this point I believe that all bets are off. I cannot imagine the kind of culture that might exist after such a flashpoint of knowledge. I believe that our culture would probably move into a completely different state, would move past the boiling point, from a fluid culture to a culture of steam.

“It’s magic,” the chief cook concluded, in awe.
“No, not magic,” the ship’s doctor replied. “It’s much more. It’s mathematics.”

Think of it: of the infinity of real numbers, those that are most important to mathematics—0, 1, √2, e and π—are located within less than four units on the number line. A remarkable coincidence? A mere detail in the Creator's grand design? I let the reader decide.