Showing posts with label Pythagoreans. Show all posts
Showing posts with label Pythagoreans. Show all posts

Wednesday, July 7, 2010

Schelling, the 'Secret' Pythagorean?

Sure, his manuscripts (those that survived destruction in World War II) probably don't contain a hidden numerology, but we couldn't let Plato be the only philosopher recently 'outed' for Pythagorean tendencies. In his lectures given in 1802-1804 and later collected under the title of The Philosophy of Art, Schelling writes:
to the extent that the eternal things or the ideas are revealed from the real side within cosmic bodies, the forms of music as the forms of ideas viewed concretely are also the forms of the being and life of the cosmic bodies as such; hence, music is nothing other than the perceived rhythm and harmony of the visible universe itself. 
After noting that Pythagoras was the first proponent of this view, Schelling continues:
People have usually understood Pythagoras's doctrine of the music of the spheres quite crassly, namely, to the effect that the fast movements of such large bodies must cause resonance. Because these bodies rotate with different yet measured velocity and in increasingly expanded circles, this resonance generates a consonant harmony organized according to the tonal relationships of music, such that the solar system resembles a seven-stringed lyre. This view takes the whole affair empirically. Pythagoras does not say that these movements cause music, but rather that they themselves are music. This indwelling movement needed no external medium through which to become music. It was music within itself, or inherently.

Monday, July 5, 2010

Plato, the 'Secret' Pythagorean?

The claim that Plato embedded, in the structure of his dialogues, a musical substructure, has been making the rounds lately (even showing up on NPR; I first saw it here). On his website, Jay Kennedy writes that:
Plato used a consistent scheme of symbols to embed a musical structure in each genuine dialogue. In short, each dialogue was divided into twelve parts. At each twelfth, i.e., at 1/12, 2/12, etc., Plato inserted passages to mark the notes of a musical scale. This regular structure resembles a known Greek scale. According to Greek musical theory, some notes in such a scale are harmonious (if they form a small whole number ratio with the twelfth note) and the others are dissonant or neutral.  Plato's symbolic passages are correlated with the relative values of the musical notes. At more harmonious notes, Plato has passages about virtue, the forms, beauty, etc.; at the more dissonant notes, there are passages about vice, negation, shame, etc. This correlation is one kind of strong evidence that the structure is a musical scale. 
This, of course, has prompted not a few skeptical responses (see the comments on Leiter's blog). The most obvious being that, since we have no access to the original scrolls (contra the implication of NPR's shorthand), the author has to make several assumptions to get this thesis off the ground, which introduces a creeping sense of a vicious circle.

I think the second most obvious problem is that it doesn't strike me that Plato was all too secret about his affinities with Pythagoreanism, in like, you know, the Phaedo or the Timeaus.

Which makes Kennedy sound like he's overstated his case. What might be an interesting technique to reopen the 'spurious works' question becomes a technique to discover Plato's secret, positive doctrine, which in turn is crammed into a solution for an already false-dilemma'd-debate about science and religion (I suppose that the reader was expecting that I would take the discussion in this direction). Kennedy again:
Today we hear much of the culture wars between believers and atheists, between those who insist our world is imbued with meaning and value and those who argue for materialism and evolution. For Plato, music was mathematical and mathematics was musical. In particular, we hear musical notes harmonising with each other when their pitches form simple ratios. For him, the perception of this beauty in music was at once the perception of a beauty inherent in mathematics. Thus mathematics and the laws governing our universe were imbued with beauty and value: they were divine. Modern scientists don't ask where their fundamental laws come from; for Plato, the beauty and order inherent in mathematical law meant its source was divine (a Pythagorean version of modern deism). Plato may light a middle way through today's culture wars.  
I don't know exactly where to start with this, but telling people that a mathematical structure underlies the universe (imagine the looks on the faces of today's fundamentalist Christians...) isn't a solution to that debate, because the debate is about legitimating a social sense of normativity. The religious claim that normativity is derived from faith in some objective (though 'revealed' value), while the New Atheists claim that normativity can be derived from science. Despite their differences, both sides avoid granting that people make their own history in conditions that they have not chosen, that political praxis and social struggle enact as much normativity as we're going to get (see also this article by Ronald Aronson). As we know, and Jacques Ranciere never tires of reminding us, Plato wasn't too keen on that.