wiredandwound
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Arguing is not going to lead to development, at least in this context. Forgive my poor use of expression in my last post.If you consider that there is "nothing to disagree with", you are already proving that you are not a philosopher.
And no, metaphysical platonism is not a mathematical truth, whatever that means. You seem surprisingly ignorant of the fact that the analogy of the Divided Line and its metaphysical implications has been an immensely broad, heated and debated topic for literally millennia. Consider perhaps starting with some readings on nominalism.
I am very knowledgeable about this topic in particular, since I've been studying it, and employed in it. The Divided Line is all about Proportionality.
If you desire certain proof, plug in [1] for the values of [a, b, c] into the quadratic formula and look at the result. Then plug into a calculator [2 x cos(36)] and look at the result.
This is a very common function in physics that was originally discovered by the Greeks. The 36 degree angle is the root of the pentagram.
This function is also the result of the proportionality of Permeability to Permittivity, Ohm's Law, and AC analysis.
I'm just laying down the Truth of the matter whether you accept it or not is your choice. The Divided Line is directly related to what this ratio represents.
The study of Electromagnetism is directly related, since "Fields" are imperceptible "intelligible" by definition, which is why science has so much trouble figuring out what it is in the first place.
Proportionality is of the utmost importance in this discussion because there are no intrinsic units of measurement. All things in our world of opinion can only be measured by proportion, which is why the Divided Line is so important.