Friday, June 03, 2005

Music in Plato's Academy

Academy was a suburb of Athens, named after the hero Academos or Ecademos. The site was continuously inhabited from the prehistoric period until the 6th century A.D. During the 6th century B.C., one of the three famous Gymnasiums of Athens was founded here. Moreover, it is recorded that Hippias, the son of Peisistratos, built a circuit wall, and Cimon planted the area with trees which were destroyed by Sulla in 86 B.C. In 387 B.C. Plato founded his philosophical school, which became very famous due to the Neoplatonists, and remained in use until A.D. 526, when it was finally closed down by emperor Justinian.

Can a different kind of thinking encase the brain's ability to "envision the abstract of space" to know that it's harmonic values can be seen as the basis of experience?

For instance, in Plato's academy, and in contrast, and the revolution of the sixties saw the Beatlemania as subversive? It's lifestyle?

So on the one hand our parents resisting change in the formal art of music and lyrics, might have actually had some values?:) Rap, as a fungal fractorial growth of lyric inspired, emotive rythmics dances around the fire of a most primitive kind, finds an outlet for our youth?

If one thought of the "dissonance of thinking" that Plato saw, could it corrupt youth to it's potential? He saw "sound as instrumental" in moving youth to the farthest reaches, while "bad noise" subversive. This wouldn't have been a cosmological assertion, could it, about the nature of our universe and chaos?

So while beating hearts and rhtymns may have moved the harmonic brain into better retention times( there is some science here), this would not have been known to the revolt against beatle mania. Just that, they wanted to resist corruption of the youth?

I have no script, so I adlib.

An artistic view having grokked paradigmal changes, creates possible artistic pathways for all of us. It takes as little time as asking, "what the future holds."

Ole forms of mathematical construct is a value of mathematical height of abstraction. We common people, would have never understood this loftiness, had we not see their images? But they speak more, about the content, then what little science is known to the public mind. So those who knew better, scoff and make fun?

Feynman as a joker, gave us toy models in which to exorcise our mind of misplaced interactive features of science's theoretical opinion?

The Mathematics Of Plato's Academy: A New Reconstruction(Second Edition)
by David Fowler
Reviewed by Fernando Q. Gouvêa

Greek geometry was not arithmetized
. In other words, the way we automatically connect the notion of "length" or "area" to numbers is something completely foreign to Greek mathematics. This is perhaps what makes it so hard for us to think mathematics in the Greek way. The idea that a length is a number is so deeply ingrained in our thought that it takes a conscious effort to conceive of an approach to geometry that does not make such an assumption. It is such an arithmetized interpretation that led historians to describe Book II of the elements as "geometric algebra". Fowler argues that Greek geometry was completely non-arithmetized. The strongest evidence comes from his analysis of the very difficult Book X, where he shows, I think successfully, that the way Euclid (or Theaetetus?) structures the argument precludes an arithmetical approach.

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