小提大奏的部落格

對於Serliey對哲學討論的回應，有感而發。

好久，沒和人討論這方面的學問，謝謝Serliey。

翻譯？有空再翻吧，讀譯文的感覺，就如同用言語來描述馬勒第六號交響曲多動人一樣，隔靴搔癢。

音樂對人的重要性，在下文中，在最偉大的哲學家中，全都描述的一清二楚。數學不好，音樂哪有可能好？音樂和科學的本質，在思考上的相關性極為強烈。

而在這麼多千年後，想不通的大人們，還是在想：課業較重要！！！這次孩子數學考９０分，怎麼辦？？？？他這輩子，怎會有出息？？？？？

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都快忘了，自己會一點英文；更忘了，自己曾讀 過這些東西.

回應原文，請參閱：請按我

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 Plato

For the introduction of a new kind of music must be shunned as imperiling the whole state; since styles of music are never disturbed without affecting the most important political institutions.

Let us describe the education of our men. What then is the education to be? Perhaps we could hardly find a better than that which the experience of the past has already discovered, which consists, I believe, in gymnastic, for the body, and music for the mind.

Music is a moral law. It gives soul to the universe, wings to the mind, flight to the imagination, and charm and gaiety to life and to everything.

Music is the movement of sound to reach the soul for the education of its virtue.

Philosophy is the highest music.

"Music is a secret exercise in arithmetic of the soul, unaware of its act of counting."
--Gottfried Leibniz, philosopher and mathematician.

IN THE WISDOM OF ANCIENT GREEK philosophers, most notably Plato and Aristotle, music was not solely a matter of artistic, divine, or romantic expression. Music was math. Following that theory, later philosophers named the "quadrivium" of mathematical arts: Geometry, Arithmetic, Astronomy, and Music.

Over the centuries, math and music remained intertwined. Before the Renaissance, much of Western-based music relied on mathematics. The baroque era's Johann Sebastian Bach, who used a highly calculated approach to composition, was famous for his submerged numerical symbolism. Take the sacred choral work St. John Passion, in which Bach composed five notes to mark the German toten (to kill) at the narrative point when Pilate hands over Jesus. The number five symbolized the Fifth Commandment, according to German musicologists. Bach repeats the theme 10 times, to musically evoke the Ten Commandments.

Clearly, Bach's listeners won't necessarily note such "cabalistic" symbolism. Any mathematically derived code instead may land in the subconscious. In recent centuries, the connection between math and music has become more complex as Western composition pushed away from its origins. Among other influences, the Hindu raga, Japanese pentatonic scale, and other non-Western melodic patterns were introduced to the artistic mix. Today, despite the early links between math and music, the bridge between calculus and concertos is being debated and tested, applied consciously or ignored.