¶ Geometry of Vectors
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Index Entry
Geometry of Vectors:
"I found his [Galileo’s] vectorial diagram exciting. It suggested a comprehensive geometry consisting entirely of vectors. A vectorial line was a very nice kind of a line because it had a discrete length-- it didn’t go on absurdly forever to the nowhere of two infinities-- in both directions as potential extensibilities of lines. It didn’t have the ‘time’ to do so. It had a discrete amount of time, which time was a component factor of the vector’s velocity.
“I wondered if nature might have a set of omnidirectionally operative vectors that represented all of our experiences. It is experiences that we are dealing with in nature. Nature and Universe are alike the aggregate of all experience. Couldn’t I then find vectors that represented any and every unique experience? Vectors are like spears. I could massage any object into a spear shape, point and thrust-throw it in a discrete direction. I intuitively liked those directional vector ‘spears.’ I felt that they tended at least to embody all the energetic qualities of represented experiences. That thinking-feeling, however, was only an intuition and not an accomplished, mathematically coordinate, generalized experience system.”
