Penetrating the Mysteries of Our Universe Often Requires A “Flash of Insight **AHA**”!!
…..Some People Call This Mental Arrival Experience, Epiphany, or “It Dawned on Me!”, or “The Light Went On!” or “Light-Bulb As In Cartoons!!
….“ Then Poincaré illustrated how a fact is discovered. He had described generally how scientists arrive at facts and theories but now he penetrated narrowly into his own personal experience with the mathematical functions that established his early fame.
.... For fifteen days, he said, he strove to prove that there couldn’t be any such functions. Every day he seated himself at his work-table, stayed an hour or two, tried a great number of combinations and reached no results.
... Then one evening, contrary to his custom, he drank black coffee and couldn’t sleep. Ideas arose in crowds. He felt them collide until pairs interlocked, so to speak, making a stable combination.
.... The next morning he had only to write out the results. A wave of crystallization had taken place.” .. . [Just so we don’t miss the point about how we all, including scientists, create hypothesis AND facts ] => The ZMM Narrator gives us three very important additional examples of Poincaré’s Spontaneous Mental Arrivals AHA!! … These the Narrator calls “crystallizations”, about which Poincaré said => “The subliminal self, looks at a large number of solutions to a problem, but only the interesting ones break into the domain of consciousness. [These] Mathematical solutions are selected by the subliminal self on the basis of "mathematical beauty," of the harmony of numbers and forms, of geometric elegance. "This is a true esthetic feeling which all mathematicians know,"
... To help the reader understand these Spontaneous Mental Arrivals, which are SOLUTIONS (ie ANSWERS) to the current problems of life coming at us, the Narrator’s discussion is supported by two more pages of very interesting and important material on Poincaré and his conclusions concerning the construction and foundations of science and brain’s automatic, spontaneous, construction of our reality.
….The Narrator continues, “ Poincaré had been working on a puzzle of his own. His judgment that the scientist selects facts, hypotheses and axioms on the basis of harmony, [But] also left the rough serrated edge of a puzzle incomplete.“ (Cont.next)
Twin Rivers Historical Park, West Riverside, MT.
….At West Riverside, MT, we arrive at the joining place of two major rivers, vital to the early forest and shipping industry.
….One of three large information signs here discusses these industries.
To learn more about => These Spontaneous Mental Arrivals => Click Here, and After Page Comes Up, Scroll Down to => Please Notice the Word “CREATIVE Then read down to => Useful Acronym => RRC .
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(Photo = 109-0999 ...... ZMM Page = 239 ...... WayPt = 254w 3330ft)