| --- |
| title: "House Oversight: Estate Documents (Nov 12) (HOUSE_OVERSIGHT_013659)" |
| source: "House Oversight: Estate Documents (Nov 12)" |
| sourceUrl: "https://www.justice.gov/epstein" |
| date: "2026-01-01" |
| category: "House Oversight" |
| eftaNumber: "HOUSE_OVERSIGHT_013659" |
| ocrPages: 1 |
| ocrChars: 2274 |
| ocrElapsed: 0.0 |
| parseTier: "external-legacy" |
| engine: "engine undisclosed (ep-nov-12.greg.technology mirror)" |
| externalSource: "greg-ep-nov-12" |
| externalLicense: "not granted" |
| externalCredit: "ep-nov-12.greg.technology" |
| externalUrl: "https://ep-nov-12.greg.technology" |
| --- |
| |
| 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 I 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. I blend them here without reservation. Perhaps this world of spiritual abstraction |
| is closer to the orientation of the school of intuitionist mathematics. Its 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 the complex eigenvalues of matrices describing the |
| system's set of orthogonal motions with changes in their control parameters. The |
| behavior of these complex eigenvalues underlies and characterizes |
| the |
| mathematical mechanism of the Hopf bifurcation. |
| 159 |
| HOUSE_OVERSIGHT_013659 |
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