Originally posted by Digi
I'm surprised nobody flipped sh*t at the flying car link. They exist, people.Ha. Oh no, I get that completely. I just prefer base 9. If I'm grouping things on a 10 point scale, the range of 4-7 on the scale, for example, means nothing to me. But in base 9, you have:
1-2-3
4-5-6
7-8-9Low, middle, high, and "low, middle, high" sub-groups within each of those main groupings. Extrapolate that to much larger systems and I think it has powerful use as a descriptive number system.
So, to use a mundane example, a girl is a "7" in looks (guys like doing this, so meh). But what does 7 mean?? No clue. But on a 9-point scale, that 7 means she is above average in attractiveness, but on the lower end of that above average group. 9 would be the most beautiful people I know, 5 would be average, 4 would be slightly below average but still in the same vicinity, etc.
Silly example, but it gets my point across.
I think a better case can be made for a Fibonacci based system.
That sequence occurs quite frequently in "nature". Meaning, we don't have to apply human (anthropic) designation for a numbering system simply because our hands have 10 digits.
It could work, symbolically, similar to the Roman Numeral system: IV is 4.
1, 5 is also 4 using the Fibonacci sequence because...
0, 1, 1, 2, 3, 5
The first number in the Fibonacci sequence (I do not count zero as the first number but I count it as the 0th number) could be thought of as our first value. The second iteration is our number 1. The third, our number two, the forth, our number three. The fifth, our number five.
What's beautiful about the Fibonacci sequence is we can always arrive at any (base-10 or otherwise) number by using the numbers that created that value in the sequence.
This is why 1 (second iteration, not first) next to 5 (fifth iteration) could mean "5th iteration minus the second iteration" to get to an exact integer value of "4".
Now why would we need an exact integer value? Set theory: we would still have sequential values that would not be perfectly captures by the Fibonacci sequence so we would have to increment and decrement based on the iteration of the sequence we are using.
So...for example...
To "say" the number 100, you'd write it out like this using the fibonacci numbers:
3 and 6 and 10, 144
Why 3 and 6 and 10?
We have to add up and subtract all of those iterations from the 12th iteration after the comma (12th iteration is 144).
Since we would be using those numbers to symbolically represent a different numbering/math based system, we'd have to designate another symbol to represent the iteration value rather than the actual integer value.
Our decimal #2 is iteration # 3 in the sequence.
Our decimal #8 is iteration #6 in the sequence.
In a universal math language, we'd have a unique symbol for each iteration of the Fibonacci sequence all the way up to omega: the theoretical maximum value a number can be without being infinity (silly concept...but roll with it). This also means that the "numbers" in that type of number system would be much much fewer in total than our current base-10 system because it is a geometric growth. For instance, to get any value in the Fibonacci based numbering system up to 100, you'd only have exactly 12 symbols required to represent all of them. Whereas, in our arabic numeral system, we'd have exactly 100 of them: [ 1, 2, 3, 4 ... 100]. Each number is technically a symbol. Now, we may use multiple symbols for each system to represent each indivual value in both systems, but the fibonacci sequence has the luxury of fewer actual unit representations. Some could argue that the base-10 system only uses 10 symbols, peroid. That's true but that's thinking off it like art rather than math. Each number value in base ten is technically a symbol representing that value. One hundred represents one hundred elements in some sort of set or measure. It is the symbol for that representation. The 1, the 0, and the 0 are individual symbols, sure, but together they symbolize another thing.
So if we were to use a truly universal system of international units, we'd use the most commonly occurring number set in the universe which is possibly the set of Fibonacci numbers (or golden ratio). I know that seems anthropic but it really isn't: that sequence/ratio occurs in so many places it is ridiculous...such as atomic crystalline structures, how light scatters through materials, matter arrangements in space, leaves, etc.
I hope all of that makes sense.