ONE
The last digit of a random number does not occur
randomly! Except for 2 and 5, random
numbers end in 1, 3, 7, or 9. But these
aren’t distributed randomly. And the
sixteen possible combinations of consecutive random numbers don’t occur
randomly, either. This was only discovered about 18 months ago. Some sense can be attributed to this
situation by referring to a 100-year-old mathematical conjecture that still
hasn’t been proven. There’s an excellent
short video explaining all this at:
http://www.realclearscience.com/video/2016/05/06/a_new_fascinating_pattern_in_the_prime_numbers.html
TWO
Modern computers are based on a controlling central element
called the “central processing unit” or, briefly, the CPU. This CPU was invented in 1947 by John von
Neumann, one of the greatest mathematical minds of the 20th
century. Howsoever, computers cannot generate a genuine sequence of
random numbers. All
iterations of a mathematical formula are thus subject to bias.
THREE
Computers make mistakes.
They only work in a temperature range where the P-N-P junctions and
N-P-N junctions are stable. If they “run
hot,” they are subject to errors. Subjected
to intense electromagnetic fields, they scramble data into errors. They can make these mistakes undetectably
(unlike old vacuum tube computers, for which “on” means on and “off” means off
and there are typically no scrambled data).
Parallel processing, used for large databases or very complex math
iterations, is inherently subject to error and thus requires the computer to
periodically back itself up in the middle of its operations, because parallel
failures happen and are difficult to predict.
Finally, computer programs (which are really external human input, not a
mechanical limitation of the computer itself) always contain errors if the
programming is large enough.
Always. It’s impossible to
confidently find every error in a program with one million lines of
instruction.
FOUR
We still don’t know how many states of matter there
are. New ones keep cropping up. We are ignorant about the actual nature of
“dark energy” and “dark matter,” too.
FIVE
We still don’t completely understand static electricity.
SIX
Combustion of hydrocarbons, as well as incandescent,
florescent, LED and other lights produce massive amounts of photons. So does lightning. “Where do those photons come from?”
SEVEN
There are many unsolved mathematical problems as well as
dozens of conjectures that have neither been proven nor disproved.
CONCLUSION
There’s a lot of work to be done by scientists and it should
be performed with humility.
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