¶ Euler (1)
Index Entry
Euler:
"I see things sometimes in terms of vectors, sometimes in terms of the faces, and sometimes in terms of the vertexes, which would be spheres. These are the three main aspects of all patterns known by Euler. Euler founded these incontrovertible minimum aspects of pattern. When Euler introduced topology, he, for the first time, initiated the return to conceptuality out of seemingly complete abstract mathematics, where we could come to completely empty sets, we thought; where we could have complete substitution of symbols for numbers and we could play the game of symbols.
“Euler said: ‘We are dealing in pattern. Mathematics is pattern.’ And he said, ‘There are irreducible aspects of pattern. That is the patterns do represent some kinds of events. And there are the lines: a line is a unique kind of pattern. If i have two lines, where the two lines cross is distinctly different from where the two lines don’t croos: it is the vertex, the convergence. This is absolute pattern uniqueness. Now I might have a third line crossing, and where the three of them cross, they will leave an interior area. An area is something completely differentiable from a line or a vertex and these make irreducible qualities of patterns.’”
