Everything within this universe, everything within the planet earth, is inherently numerical... — Marzipanmaddox
I can't see how everything - absolutely everything - is "inherently numerical". — Pattern-chaser
I'll try explain. Logically, you have one egg, you keep counting eggs. You keep counting eggs forever, do you ever get to a number that is not a countable number? Basically, once you start to count things, you can tell that everything is countable.
If you are counting whole single digits, you will never get to a quantity that is infinite, meaning adding and subtracting a number doesn't change the quantity. When nothing is infinite, everything is then finite, and everything finite is quantifiable, it is a quantity, this can be represented as a number.
The only infinite aspects of the universe are infinitesimal, meaning the amount of numbers between 1 and 2, is infinite, because the differences can be infinitely small.
This lack of infinite quantities means that essentially everything can be measured. When everything can be measured, this means it can be quantified and expressed in regards as numbers.
Think of a rock falling from a person's hand towards the ground. This may not seem numerical, but even if it does not naturally appear this way, we can still represent and describe it numerically.
Things like the law of gravity are closer to representations of what happen, describing things rather than counting them, but in the sense that these numerical descriptions can be created with regards to any finite and measurable occurrence, and since the lack of infinite values in the universe suggests that everything is finite, then this set of conditions means that everything can be quantified, defined and represented in mathematical ways.
Even though we don't have to count the gravity, we can still represent what is happening with numbers, variables, and other forms of mathematics. Our ability to do this, to understand these things in this manner allows us to take advantage of these forces behaving so reliably.
Even the human mind, has a finite number of neurons, approx 100 billion. When you start out with a finite number, and you keep adding or multiplying by other finite numbers, you will never arrive at a number that is infinite, you will always have a finite quantity.
Even if you combine every possible combination of neuron firing, and every other aspect of the human body, as these are all finite numbers, they can all be subejcted to explanation by the same style of measurements and explanation that has given us this working standard of gravity.
While a human being is more complex than a rock, time, the mass of the planet, air resistance, and the other elements that were quantified in order to develop the law of gravitiy, this does not mean that humans are any less defined by this sort of natural law as a rock is. Just as the fall of a rock is determined by the law of gravity, ever aspect of human life is determined by some equivalent and parallel law that defines how humans behave in any sort of situation.
While clearly we don't have these equations, they are not needed to prove this.
The human exists in the same system as rocks and water, rocks and water are all inherently finite, and can be quantified, measured, and represented using equations and entirely mathematical models, free from any influence of subjective force such as opinion or sentiment.
The human is made up entirely of rocks and water (more so, chemical compounds, but this is semantics), even though these rocks and water are mixed in a very specific way that produces a very specific result that is very complicated, the fact that the base parts, Part A and Part B are finite, means there is no possible way you can Add Part A to Part B and get a result that is not finite. Basically there is no way to create an infinite quantity from two finite quantities, and as humans are composed of these two finite quantities, this implies that any combination of these two quantities will be as equally as finite as the two quantities that are being combined.
Logically, as rocks and water are both proven to be defined explicitly and entirely by natural law, then this implies that any combination of rocks and water, any combination of any amount of chemical compounds, will too be defined explicitly and entirely by natural law in the same respect.
The issue here, is that humans are far more complex than rocks or water. This means that the natural laws that define the human race would be proportionally more so complex than the natural laws that define rocks. Similar to how The user manual for a car is much larger than the user manual for a knife.
Even though they are very complex equations if represented perfectly, we can deduce by what we already know to be true about the natural world, that every aspect of human life is as equally definable by natural law in the same respect that every aspect of water or rocks can be defined and explained with natural law.
The key thing to realize is that even having rough approximations of these equations that define our lives is going to be invaluable. We can have a fairly clear estimation of what the answer to these equations is, even if we don't have pinpoint accuracy. The more accurate these equations become, the easier we will be able to exclude and disprove arguments that deviate from quantifiable correctness.
If you are calculating the sqrt(3), square root, you can never have the correct answer, because that is infinitely long, it is infinitesimal, but you can have an answer that is close enough. Based upon rounding.
If you have the answer of 2, then your inaccuracy is ~ 14%
If you have 1.7, now your answer is only about ~2% different from the actual, correct, infinitely long answer
At 1.73, your are 0.1% inaccurate
At 1.732 you are 0.002% inaccurate
Even though it is impossible to be 100% accurate here, you can get the inaccuracy down small enough to the point where it becomes inconsequential. The same thing applies here, where so long as we know we are fairly close to the answer, we can gain quality answers from these equations.