Uncovering the secrets of platos theories
In another dialogue, the Symposium, words describing harmony and unity crop up at the same regularly spaced intervals. And as we shall see, it is this Principle along with the One that is involved in a deeper revelation regarding continuous geometric proportion.
Now following the Pythagoreans, Plato places a great deal of emphasis on numbers, ratio logosand proportion analogia. As matter, the Great and Small were Principles; as substance, the One; for from the Great and the Small, by participation in the One come the Forms, the Numbers [Metaphysics b].
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This is why he called it an Indefinite Dyad — because neither the excessive nor the exceeded is, as such, definite. What he has effectively done through a series of Golden Cuts is to bind his so-called Intelligible and Sensible Worlds and their subdivisions together through continuous geometric proportion employing the Golden Section. Sayre states: While many commentators have noticed this anomaly, most are of the opinion that Plato either did not notice it himself or did not acknowledge it…. Now according to Aristotle and others, what Plato presented to members of the Academy and in public lectures was not always identical to the content of the written dialogues. It is the discovery that it is embedded in, if not the very basis of, the Principle of the Indefinite Dyad that is so remarkable. I want to suggest that, to the contrary, the abductive solution to this so-called anomaly helps lead to the most fruitful insights. The codes suggest that Plato was a secret follower of the philosopher Pythagoras and shared his belief that the secrets to the universe lie in numbers and maths.
Usually when commentators attempt to determine how the line is to be divided, they fail to first fully consider the underlying significance of Plato asking the reader to divide the line unevenly. All 2, pages contain undetected symbols.
But why is the Golden Section to be so protected within the Pythagorean tradition? Thus, we have line ab, which has Golden Cuts at points c and d. And put simply, abductive reasoning is the method by which one arrives at the solution that the Golden Section and its reciprocal are in fact the Greater and the Lesser of the Indefinite Dyad.
He would present the problem, puzzle, anomaly, apparent contradiction or incomplete result, intending that the attentive student would abduct an explanatory hypothesis. The greater and the less are to be measured in relation, not only to one another, but also to the establishment of the standard of the mean….
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The Greater and the Lesser are to be related not only to one another, Greater : Lesser a single proportion exhibiting the f2 ratio , but also to the standards that are situated in the mean between the extremes, Greater : One :: One : Lesser a continued proportion exhibiting the f ratio. This agrees with my hypothesized associations. Sayre states: While many commentators have noticed this anomaly, most are of the opinion that Plato either did not notice it himself or did not acknowledge it…. According to Dr Jay Kennedy one of Plato's most important beliefs was hidden in his writing. Dr Kennedy discovered that key phrases, words and themes crop up in regular intervals throughout Plato's writings and that they match the spacing of these 12 notes in the musical scale. His works have been scrutinised and debated for more than 2, years by the greatest minds in history. In an extraordinary discovery, a British academic claims to have uncovered a series of secret messages hidden in some of the most influential and celebrating writings of the Ancient World. In fact it will assist us in explicating the underlying significance of the Indefinite Dyad and the One. His method in the written dialogues appears to be similar to his reported approach in the Academy, where he would propose the problem to be solved. The importance of these relationships will become clear only after a review of some pertinent classical Greek philosophy. Though the construction has already proven to harbor many wonderful properties, notice in particular the Quadrilateral DKMH, which acts as a kind of ontological entheogenomatrix. And as we shall see, it is this Principle along with the One that is involved in a deeper revelation regarding continuous geometric proportion. Aristotle does tell us: Since the Forms are the causes of all other things, he thought their elements were the elements of all things.
In effect what Plato is asking us to do is to perpetuate the continuous geometric proportion into the four subdivisions of his Divided Line.
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