Music:
Member Since: 11/14/2007
Band Members:
Sounds Like: 1. Each angle was not exactly the angle I believed it to be and instead, it was only the most perfect triangle that I was ever able to perceive as well the closest thing to a truly perfect triangle that which I will never be able to see or to measure.
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2. Let us call the most perfect triangle that I have ever seen, that which I was not able to point out imperfections in, perfect t1. Now whenever I look at a triangle less perfect than perfect t1, which we shall only call a triangle, I am able to point out its imperfections since I have seen perfect t1, not because of my concept of a perfect triangle, which we shall call the perfect t’.
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3. So there are two orders of perfection, the first which is only assumed after some deficient perception cannot have picked out the minute however still existent imperfections in the t1, and the other which is actually perfect t and relies on relational values of the geometric structure and its exact requirements. The perfect t-1 is able to be seen and the second order of perfection t is not and it will never be able to be seen or measured. However, it is only because of the availability of the first, the t-1, which allows for our supposing that there is a more perfect triangle than that one which we are able to see and point out imperfections in.
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Of equality:
4. Now we can see how one might also come to the concept of perfect equality since the number of degrees, say in two angles of a triangle of the second order of perfection, that which might never be seen, may add up to equal ninety. The other angle by the requirement of the second order of perfection t must equal ninety degrees as well. Ninety degrees = Ninety degrees is no hard suggestion to suppose and it has never relied on any perception whatever. Although perceptible objects may never perfectly equal each other, we have gathered as much, that there must be some perfect equality since the perceptible objects’ equality is imperfect, from this type of perfect equality (90=90). However, it works even with perceivable objects since we might place any number of things, say three stones, in one location, and then set three other stones in a nearby location. The number of the stones in each group is perfectly equal, hence giving us some concept of perfect equality without an abstract form of it. It is from numbers that we receive our concept of perfect equality. And it is from our mistaken sense perception of a perfect t1 mistaken to be a perfect t that we receive our concept of perfection.
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Type of Label: Major