Category Archives: Plato’s Cave

γνώθι σεαυτόν

A stained glass window with the contracted version γνωθι σαυτόν. The saying “Know thyself” may refer by extension to the ideal of understanding human behavior, morals, and thought, because ultimately to understand oneself is to understand other humans as well. … Continue reading

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Foundational Issues

Mathematics Problem That Remains Elusive — And Beautiful By Raymond Petersen Dyson, one of the most highly-regarded scientists of his time, poignantly informed the young man that his findings into the distribution of prime numbers corresponded with the spacing and … Continue reading

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New Technological Freedoms in the Libraries.

Commerce is of trivial import; love, faith, truth of character, the aspiration of man, these are sacred.Ralph Waldo Emerson Trinity College Library, Dublin. (Photo: Candida Höfer.) See:In today’s Media, Has the Soul taken a Hiatus Don’t worry Mr. Chimpanzee, I … Continue reading

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William Thurston

Xianfeng David Gu and Shing-Tung YauTo a topologist, a rabbit is the same as a sphere. Neither has a hole. Longitude and latitude lines on the rabbit allow mathematicians to map it onto different forms while preserving information. William Thurston … Continue reading

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Glaucon

Glaucon (Greek: Γλαύκων) (born circa 445 BC) son of Ariston, was the philosopher Plato’s older brother. He is primarily known as a major conversant with Socrates in the Republic (Plato), and the questioner during the Allegory of the Cave. He … Continue reading

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The Light in the Cave

Newton’s Translation of the Emerald Tablet It is true without lying, certain and most true. That which is Below is like that which is Above and that which is Above is like that which is Below to do the miracles … Continue reading

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Inside Out

3.1 As Cytowic notes, Plato and Socrates viewed emotion and reason as in a kind of struggle, one in which it was vitally important for reason to win out. Aristotle took a more moderate view, that both emotion and reason … Continue reading

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WE ARE A HEAVENLY FLOWER

AND we should consider that God gave the sovereign part of the human soul to be the divinity of each one, being that part which, as we say, dwells at the top of the body, inasmuch as we are a … Continue reading

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Self Evident Dimensional Perspective

Where a dictionary proceeds in a circular manner, defining a word by reference to another, the basic concepts of mathematics are infinitely closer to an indecomposable element”, a kind of elementary particle” of thought with a minimal amount of ambiguity … Continue reading

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Euclidean Geometry and the Shadows

Just as some prisoners may escape out into the sun, so may some people amass knowledge and ascend into the light of true reality.The Holographic Principle and M-theory I am always interested in “the flavour history” gives as we look … Continue reading

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