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forced decision between yes and no is called the excluded middle. The constructionist mathematician, an orientation without the excluded middle, asserts that “an odd perfect number exists” would only be meaningful if one could show that such a number had been found or constructed. The classical mathematician would find the phrase “no odd perfect number exists” meaningful without a concrete example, if the assumption of its existence would lead to a no (versus yes) contradiction encountered in the proof-relevant network of established theorems and their relations. The symbolic operations of these formal schools of mathematics and their relationship to the objective and ideational realities of brain-mind-spiritual life have been viewed by some as Western cultural products rather than expressions of secular or spiritual Absolutes. Still others have argued that cultural relativism is not relevant here because mathematicians worldwide constitute a monoculture. With respect to the real world existence of abstract mathematical structure, our Platonic bias must be obvious. The thrilling experience of a new reality | get to know from finally understanding how a theorem works and the rush of peering into the grandeur of the Grand Canyon feel like the same kind of full-of-wonder high to me. | blend them here without reservation. Perhaps this world of spiritual abstraction is closer to the orientation of the school of intuitionist mathematics. |ts founder, L.E.J. Brouwer, required that every mathematical construction be so immediately apparent to the human mind that no formal proof was necessary. This became my form of spiritual transcendence, which led naturally to a mathematical, mystical faith. We carry the explication of this kind of reality further. Reflections of the good and evil, right and left, moral directional biases and their relative weightings in born again bifurcations to invariant circles called limit cycles, can be symbolically represented in what are called

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