数学是推理中的音乐,而音乐则是感觉中的数学。代表理性的数学,其规律与秩序所产生的美感,虽无声音之传递,但与音乐是根本相通的;而代表感性的音乐,其音强、音高、音色、节奏、旋律、曲式及风格,虽无明显的数学表达,但数学的踪影却处处可见。 Mathematics is the music of reasoning, and music is the mathematics of feeling. On behalf of the rational mathematics, the beauty of the law and order produced by the law, although no sound transmission, but with the music is basically the same; and representative of emotional music, its sound intensity, pitch, tone, rhythm, melody, music and Style, although no obvious mathematical expression, but the traces of mathematics are everywhere.