The noumenon is the principle building block of knowledge. In logical form, the Noumenon is the basis of the Tautology, which all things are in of themselves a Tautology. All things circle back to what exists.

Therefore, the most basic building block of all knowledge, summates itself in the Noumenon, and if the Phenomenon does not perceive accurately the Noumenon, that is indicative of mental illness.

So, insofar as there is Noumenon, the Logos itself is also an aspect of Noumenon. The Systems of equations, and in Pythagorean Philosophy the existence—that is the Number—therefore, what is a priori and a posteriori, are both noumenonical.

Thus, in the realm of epistemology and ontology, the a priori represents epistemology, and the a posteriori represents ontology. What is the proper system of ordering, is one’s epistemological make up. And what is, in the most literal and concrete, is what makes up ontology. Or as Pythagoras would say, the Number. For, all things are ordered by systems of operations, and how they relate to real numbers. In other words, the a priori and the a posteriori. And both of these things, are in themselves the Noumenon of what actually is.

Therefore, to understand Noumenon, it is the only useful concept in philosophy, because it is the only concept concerned with how an object and the real world actually are.

The Intersecting Chord works, on the principle that two lines meeting on a circle, will adjoin, and thereby, make, because of a circle's perfect symmetry, an equality. For, a circle's semytry is perfect, and it will always relate and shorten and lengthen line segments from the two chords, so that they will reflect the symmetry of a circle exact. Whereas, an oval one could not do this, because an oval has no perfect symmetry, thereby, it will not create an equality with two intersecting chords.

George Washington's Farewell address brings to bear several things which are fundamental to understand about our democracy. The first, is that religion's morality is essential to give the populace stability. The second is that debts to foreign governments is hazardous to American independence. The third is that the competition of party powers, will inevitably lead to revenge politics, and put one in power over another, to the detriment of the people.

Washington says, and I paraphrase, that "Anyone who questions Christianity's place in our society, is themselves unpatriotic." The reason being, that a common morality is necessary for a society to flourish. And Christ's morals were superior to all others, even superior to Greek and Chinese moralities. It was a foundation, which could give a society agreement, and thereby, prevent friction from neighbors, and allow a common unity among them, all based on the same moral principles.

Also, being indebted to foreign governments causes a society to be liable to pay back those debts, or be threat with war. Thus, having debts to other nations is dangerous, because that nation can collect on their debt at any time, to the hindrance of the American society.

And thirdly, seeing in our current politics the landscape, it is no wonder that Washington censured against this. For, we have democrats and republicans gaining control of houses, and fracturing the people. Whether by division of geography, party or income, the American People are hazarded by this division, for it leaves them divided and not unified. And this division makes the solidarity of the country unstable, and thereby weakens us to those in power, and their designs. The causal effect, is that by fractious disagreements, and dissolution of the common bond, and factionism, the people will be at odds with themselves, and begin to exact a horrible tyranny on each other, through exerting the will of one party over another. Or one geographic region over another. Thereby, one ideology will be superior to the others, at the harm of those unlike them.