New Project-Logic

[Phil8659]

Logic is the art of names. That art is divided into the particular, called descriptions and universal called definitions.
When I present my work, it is, mostly, divided between descriptions, which are of the particular geometric figure in some particular expression, and those descriptions are then rendered as Plato suggested, you work the whole of it down to First Principles. This means that you take every particular equation and reduce it to the point that it is expressed solely in terms of the givens, or First Principle Parts.
Each step of the particular set of equations, then produces a universal definition.
However, one finds that not every equation, as written in the particular is always true, what is required are logical operators. These generally disappear by the time one reaches the final equation, however, if one wants to make them always useful, one is going to have to fix them with logical operators.
A simple logical operator is x divided by the square root squared of x, which will give you simply 1 or -1. x can be any equation. Any equation can be turned into a logical operator, see my work.
Thus, you have an if then, else statement in the logical operator. If some n is to the right or left of some point, it can tell you and change the math into an addition, say after that point, or subtraction after that point.
For example, you have a number which is always right as far as magnitude goes, but it oscillates in its sign, positive or negative. the logical operator will strip out the sign and keep the magnitude which is useful to compete the set of equations, making every universal equation always true.
Traditionally, and what is still currently done, is claim that there are "cases" for a figure, this is because those who explain things in this fashion are actually illiterate of the grammar.
The logical operator puts into the equation, in mathematical grammar, the "if then, else" of common grammar.
I just did a spiral, which looks like the Fibonacci spiral, However, it is achieved by one point moving in a straight line from point a to point b. and the universal equation always get the result correct, no matter how the spiral goes up, down, left or right. The equation is always correct.
So, that is my project, which I have planned on for a very long time. How to write correct universal equations. I have my first example done.

[Phil8659]

I put up a video showing the steps to turning a figure into a set of mathematical definitions, where one definition can draw the figure.

https://www.youtube.com/watch?v=kFI4ykyBh7s

It is only six min and about 40 seconds long.

And then I posted it on the Archive as well:
https://archive.org/details/logical-operators

I notice no one else has ever used that title to any work.