A visual, Non-mathematical explanation
If you are outside, and you measure the distance between two trees as twenty meters from each other, it is a certain distance of twenty meters from each other.
You build a room between those trees, where you can't see outside the room, that (on the inside) is half the length of that distance of 20 meters. You measure it on the inside. You can know the distance between those sides of the building on the inside is going to be half 20 meters, or 10 meters.
You can also assume that the building will be somewhere between those trees where if you add one side of the room to the tree, plus the other side of the room to the other tree, it will add up to the rest of the missing space that is inside the room that equals 20 meters.
In other words, the room length inside is always ten meters. But the length of space on the outside on either side of the room to each tree could have different possible answers that would still work to equal the other 10 meters.
This shift changes no matter where the building is located between the trees, but it will always add up to 10.
This is similar to the numerical value. If referencing the inside distance of the building (which is 10 meters) only in reference to what you see inside, you have a placeholder (at the end of the room) of ten. and a numerical value of (from zero to ten) of ten which is from one side of the room to the other.
Because, on the inside, we have all the data of the numerical value (10) and the placeholder(10), we know the number of distance on the inside is ten, too.
On the outside, we have the numerical values, but not the placeholders because we do not know exactly where the house is located between the trees.
So the numerical values when added up are still ten on the outside, but the placeholders of each side is unknown. This also means that, according to subnumerics, we can not assume the number between the added outside parts is 'ten', because in subnumerics, to know the number, you must know the placeholder and numeric value.
In normal math, you can make assumptions about how you know this number to be true, but not in subnumerics, because it is not a given.
Once the number is dissected, part of the dissection is a measure of distance, and part of it is a measure of location. They are two different concepts, and they can not be, and are not related.
More technical explanation
The idea stems from how each integer is created. A number is defined by more than just a simple property. It actually contains two.
First, it contains the girth of the number, the amount from the beginning to the end. This is called the 'numeric value' For example, the number four's girth is from zero to four. Therefore, it is
Next, it is defined by where it ends. This is called the 'placeholder'.
The placeholder of four is four on the placeholder line.
When both of these parts can be expressed in this manner, it creates a number, four.
4nv >--< 4ph = 4nu
The '>--<' is an expression showing the parts are separated, but can come together to form something.
It is not possible to place an infinite number of placeholders together to get a numeric value. This is because a placholder is defined as something that holds a place and that's it. If it could be added or placed together, it would create a numeric value, which is not possible.
The placeholder and numeric value are two different things. Therefore, calculus or summations can not be used with placeholders to create numeric values.
It also means you can not add placeholders.
A placeholder and numeric value are each not numbers. They are each parts of a number. They create a number when they merge together.
Soon, a new section will be created to show how logarithms may be used with numeric values and placeholders differently with zero than standard numbers as they are normally used. This is because the numeric value of zero and the placeholder of zero are two different things.