I already stated that a circle has infinite sides or “points”.
Mathematics deals with absolutes, which are abstractions. Infinity is part of the process of determining shape, size, and dimension. Calculus is predicated on the ideal of infinity, that, as a number becomes absolutely large or small, it approaches any “whole” number, which is also an abstraction. In fact any whole number is predicated on the abstraction of infinity.
There is no such thing as a “real” whole number. Here’s what I mean explicitly. Let’s say you have “one” (whole) rock. And then you add another, second, (whole) rock. How many rocks do you have? 2. You have two rocks. But are the rocks equal? Are they the same? Do they have the same weight and shape? Or aren’t rocks different? They weigh differently. They have different shapes. They have different qualities. No two rocks are exactly the same, although some are similar.
Therefore the ideal of “one whole rock” is an abstraction, a premise of measurement. That humanity can use “this” (or that) rock as a standard, by which to measure all other rocks.
So basically, mathematics is abstraction, approximation, and absolutism. Perfection is idealism, and Artifice. It is unnatural. It is anti-nature. Math is unreal, a human imposition upon reality/nature. The functions, processes, equations, and algorithms humanity uses are all artificially imposed, by mankind, to understand, manipulate, and control natural processes.
Mathematical sophistication is directly aligned with heightened intelligence. A “smart” person understands math easier than “stupid” people. Thus mathematics, a reflection of human intelligence, represents the ways in which humanity uses knowledge, education, information, and formulas (algorithms) to ‘leverage’ reality and nature. Using math, science, and every other intellectual tool, mankind has developed severe power differences, giving exponential advantage compared to other (less intelligent) mammals.
Show any animal a quadratic equation. It doesn’t understand it. Because it lacks the sophisticated evolutionary developments and educational procedures that humans have, over generations.
TLDR:
Humans continue to develop sophisticated mathematics (as abstraction) to give us an evolutionary advantage over every other (less sophisticated) life form.
This is Artifice/Artificiality, away from Nature, far “above” Nature, top-down. But most humans forget the foundations, and from whence mathematics originates.