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Taylor - Theoretic Arithmetic.pdf - Platonic Philosophy

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ADDITIONAL NOTES<br />

P. 3. The motion of the stars likewise is celebrated as being<br />

accompanied with harmonic modtl1ations.-"The Pythagorean~,"<br />

says Simplicius, in his Commentary on the 2nd book of<br />

Aristotle's treatise On the Heavens, "said, that an harmonic<br />

sound was produced from the motion of the celestial bodies,<br />

and they scientifically collected this from the analogy of their<br />

intervals; since not only the ratios of the sun and moon, of<br />

Venus and Mercury, but also of the other stars, were discovered<br />

by them." Simplicius adds, "Perhaps the objection of Aristotle<br />

to this assertion of the Pythagoreans, may be solved according<br />

to the philosophy of those men, as follows: All things are not<br />

commensurate with each other, nor is every thing sensible to<br />

every thing, even in the sublunary region. This is evident from<br />

dogs who scent animals at a great distance, and which are not<br />

smelt by men. How much more, therefore, in things which<br />

are separated by so great an interval as those which are incorruptible<br />

from the corruptible, and celestial from terrestrial natures,<br />

is it true to say, that the sound of divine bodies is not<br />

audible by terrestrial ears? But if any one like Pythagoras,<br />

who is reported to have heard this harmony, should have his<br />

terrestrial body exempt from him, and his luminous and celestial<br />

vehicle,' and the senses which it contains purified, either<br />

* The soul has three vehicles, one etherial, another aerial, and the third this<br />

terrestrial body. The first which is luminous and celestial is connate with the<br />

essence of the soul, and in which alone it resides in a state of bliss in the stars.<br />

In the second it suffers the punishment of its sins after death. And from the third<br />

it becomes an inhabitant of earth.

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