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General Science / Re: Is Mathematics Falsified?
« on: 20/12/2020 21:07:45 »Quote from: charles1948
Does that mean that we should abandon decimals, and start doing maths in Binary Notation?Most computers already do. Simple calculators may still be using decimal arithmetic.
I agree that teaching binary multiplication tables is much easier than teaching decimal, and lets you focus on the essentials:
0x0 = 0
0x1 = 0
1x0 = 0
1x1 = 1
But there is no need to abandon Decimal arithmetic because it is "inaccurate" or "foggy" in some sense.
- There is an exact 1:1 mapping from every decimal integer to its binary counterpart.
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the difference between our numerals "7", "8" and "9" is quite small. Their values are close.What you are describing here is that many quantities in this world span a great range of values, and it is easier to make sense of them as ratios. So the ratio 2/1 is much bigger than 9/8.
A number of our senses work in this way; the loudness of sounds is represented on a logarithmic scale called "decibels".
See: https://en.wikipedia.org/wiki/Decibel
Many other systems in the real world work this way, even accounting records for a company.This has been used to detect when a fraudster has tried to hide their trail.
See: https://en.wikipedia.org/wiki/Benford%27s_law
Oops! Overlap with chiralSPO...
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