Looking Over The Yellowstone River Valley (June 20, 2002)
…When Viewed From I-94 Rest Area On The South River Bluff, You Can See The North River Bluff, In The Distance.
….But The River Is Hidden In the Trees, Just This Side of The North River Bluffs.
…… The Yellowstone River Valley Is Relatively Level. This Makes For a Wide, Deep, and Calm River, Which Is Great For River Navigation! But It Also Means The Traveler Can Not Often See The River, or Even Guess Where It Is.
….“Einstein had said, "Evolution [of science] has shown that at any given moment out of all conceivable [theory] constructions a single one has always proved itself absolutely superior to the rest," and let it go at that. But to Phædrus that was an incredibly weak answer. The phrase "at any given moment" really shook him. Did Einstein really mean to state that truth was a function of time? To state that would annihilate the most basic presumption of all science!
.... But there it was, the whole history of science, a clear story of continuously new and changing explanations of old facts. " (Continued next.)
I-94 Rest Area, 5 Mi West of Custer, MT. I experienced rest, diminishing hunger pangs, and needed relief at this Rest Area, as I contemplated this peaceful early evening scene! I was now back-on “known territory” after getting lost, farther and farther into back-country, for which I had no map, and no other source of information.
….This was just over an hour ago => While researching possible ZMM “back-country roads”, after Hysham, MT, surprise, I was unknowingly diverted over the bridge near Myers MT. Not knowing where I was going on the twisty, circuitous, roads, I had a long and anxious detour!
… My companion had been an ever increasing anxiety over an empty gas tank!
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From Previous Photo, A Continuation Of = Flash Of Insight & Crystallization Topics, AND
…. How These Relate To Penetrated Narrowly Into His Own Personal Experience, By Jules Henri Poincaré ( 1854 to 1912), A Professor At The University of Paris.
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… Beginning of ZMM Chapter 22: After Saying Goodbye To The DeWeese’s, The ZMM Narrator Introduces Poincare’, and Why Important To Him =>
….“I want to talk today about a person whom Phædrus never heard of, but whose writings I’ve studied quite extensively in preparation for this Chautauqua. Unlike Phædrus, this man was an international celebrity at thirty-five, a living legend at fifty-eight, whom Bertrand Russell has described as "by general agreement, the most eminent scientific man of his generation." He was an astronomer, a physicist, a mathematician and philosopher all in one. His name was Jules Henri Poincaré”
*** And Later The Narrator Tells Us ***
…...“Phædrus follows a long and tortuous path into the highest abstractions, seems about to come down and then stops. Poincaré starts with the most basic scientific verities, works up to the same abstractions and then stops. Both trails stop right at each other’s end! There is perfect continuity between them. When you live in the shadow of insanity, the appearance of another mind that thinks and talks as yours does is something close to a blessed event. Like Robinson Crusoe’s discovery of footprints on the sand. ”
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BECAUSE IMPORTANT FOR UNDERSTANDING “THE CREATION OF SCIENCE”. ZMM CHAPTER 22, QUOTES EXTENSIVELY FROM =>
…. Poincare’s Own Chapter “Mathematical Creation ” From His 1908 Book “ The Foundations Of Science: Science And Hypothesis, The Value Of Science, Science And Method. ”,
……Wherein Poincare’ Gives Examples (Recognizable as Flashes of Insight), Of The Own Mathematical Creation Events In His Mind. For Example =>
…. He was about to enter a bus, and at the moment when he put his foot on the step, the idea came to him, without anything in his former thoughts having paved the way for it, ” ((The ZMM Narrator calls the above and 5 different similar Poincare’ examples, waves of crystallization, .
….What Poincare Described Above, Is Very Much As Author Robert Pirsig Described, Earlier In This Chapter 22 =>
…“The formation of hypotheses is the most mysterious of all the categories of scientific method. Where they come from, no one knows. A person is sitting somewhere, minding his own business, and suddenly—flash!—[mental crystallization] he understands something he didn’t understand before. Until it’s tested the hypothesis isn’t truth. For the tests aren’t its source. Its source is somewhere else. ….. "
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To Read & Understand More Poincare’s => “Mathematical Creation ”
,…..This WebPage will give you a compact, well focused understanding of ~5 different Poincare’ waves of crystallization.
….Click Here For => “ Inclining the Mind Toward ‘Sudden Illumination’: French Polymath Henri Poincaré on How Creativity Works..”
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(Photo = 0554c ...... ZMM Page = 100...... WayPt = 113)