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nce; and his discoveries in arithmetic, astronomy, music, and geometry, constitute an era in the history of the mind. His metaphysical and moral speculations are not to be separated from the additions or corruptions of his disciples. But we must at least suppose that Pythagoras established the main proposition of the occult properties of NUMBERS, which were held to be the principles of all things. According to this theory, unity is the abstract principle of all perfection, and the ten elementary numbers contain the elements of the perfect system of nature. By numbers the origin and the substance of all things could be explained [244]. Numbers make the mystery of earth and heaven--of the gods themselves. And this part of his system, which long continued to fool mankind, was a sort of monstrous junction between arithmetic and magic--the most certain of sciences with the most fantastic of chimeras. The Pythagoreans supposed the sun, or central fire, to be the seat of Jupiter and the principle of life. The stars were divine. Men, and even animals, were held to have within them a portion of the celestial nature. The soul, emanating from the celestial fire [245]--can combine with any form of matter, and is compelled to pass through various bodies. Adopting the Egyptian doctrine of transmigration, the Pythagoreans coupled it with the notion of future punishment or reward. Much of the doctrinal morality of Pythagoras is admirable; but it is vitiated by the ceremonial quackery connected with it. Humanity to all things--gentleness--friendship--love--and, above all the rest, SELF-COMMAND--form the principal recommendations of his mild and patriarchal ethics. But, perhaps, from his desire to establish a political fraternity--perhaps from his doubt of the capacity of mankind to embrace Truth unadorned, enamoured only of her own beauty-- these doctrines were united with an austere and frivolous ascetism. And virtue was but to be attained by graduating through the secret and rigid ceremonies of academical imposture. His disciples soon pushed the dogmas of their master into an extravagance at once dangerous and grotesque; and what the sage designed but for symbols of a truth were cultivated to the prejudice of the truth itself. The influence of Pythagoras became corrupt and pernicious in proportion as the original tenets became more and more adulterated or obscure, and served, in succeeding ages, to invest with the sancti
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