Many
modern people have a very limited view of history. They can only see or think
about five or ten years into the past. They see history as boring and they
think of the ancients as ignorant and backward. This was actually not true.
What the ancients lacked was the modern accumulation of facts. An ancient
Israelite would have been very puzzled and culture-shocked to have been dumped
into the modern world, but he or she could have eventually learned to drive a
car or to cook on a stove or to use a cellphone.
The
ancients were just as intelligent as we are but the accumulation of scientific
facts had not yet reached a critical point. Human knowledge took centuries to
double, fact by fact. As knowledge accumulated, the rate of accumulation began
to speed up. Every answer exposes a new question. Buckminster Fuller spoke of
the Knowledge Doubling Curve which was relatively flat for centuries, then
began a slow climb, and then went into an explosive upward thrust.
By
the end of the 19th Century, knowledge was doubling once per
century. By about 1945, the rate of doubling was about every 25 years. By 1982,
the rate was about every 12-13 months. By 2020, the doubling was occurring
about every 12 hours. With at least 50,000,000,000 devices now operating and
with the rise of artificial intelligence, the rate may now be in minutes.
Ca 1500 BC/BCE: 1. Chinese mathematicians work on permutations and probability theory.
2. Hindu writers mention ants being attracted to a patient’s urine as a symptom of diabetes.
Ca
1550 BC: 1. In
Myanmar/Burma, copper is made into bronze.
2. An Egyptian physician, Hesy-Ra, mentions
frequent urination as a symptom of diabetes.
Ca
1750 BC/BCE: Babylon: square and cube roots, linear and
quadratic equations, Pythagorean Theorem.
Ca
1800 BC/BCE: 1.
Bronze is in use in China.
2. The Berlin Papyrus 6619,
found in Egypt, describes algebra.
Ca
1890 BC/BCE: The Moscow
Mathematical Papyrus, found in Egypt, speaks of applied mathematics: ship
construction, beer concentrations, worker efficiency, Pythagorean triples, etc.
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