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Let us define the measurement of known scientific facts in the year 1 A.D. as "one jesus," using the name of the celebrated philosopher born that year.
Before going any further, let us ask how long it took to arrive at one jesus. One way of estimating is to take the estimated age of homo sapiens, in which case it took 40,000 to 100,000 years.
How long did it take to double this accumulation of knowledge, to achieve two jesuses? It required 1500 years - until 1500 A.D. How long did it take to double again and obtain four jesuses? It required 250 years, and we had four jesuses in our larder by 1750.
The next doubling took 150 years, and by 1900 A.D. humanity had eight jesuses in our information account. The next doubling took 50 years, and by 1950 we had 16 jesuses. The next, ten years, and by 1960 we had 32 jesuses. The next doubling took seven years, and by 1967 we had 64 jesuses. And the next doubling took 6 years; by 1973 we have 128 jesuses.
There is no reason to imagine that the acceleration has stopped. Thus, we almost certainly reached 256 j around 1978-79 and 512 j in 1982.