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Taylor - Theoretic Arithmetic.pdf - Platonic Philosophy

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With respect to the appellation truth, perhaps it was so<br />

called because truth is the harmonious conjunction of that<br />

which knows with that which is known; and the hexad, as<br />

we have before shown, is most eminently harmonic.<br />

Again, according to the anonymous author it was called fardarting<br />

Trivia, and pertaining to two times; the<br />

first of these because the triad which is Hecate being hurled<br />

jorth (Bohagav) and as it were composed (i.e. joined with<br />

another triad) generates the hexad. "But it was called Trivia,"<br />

says he, "perhaps from the nature of the goddess. And it is<br />

probable that it was thus denominated, because this number is<br />

first ailotted the motions which take place in the three intervals<br />

(length, breadth and depth,) each of which receives a twofold<br />

division from circumstances; (viz. motion according to length,<br />

is either backwards or forwards, according to breadth, is either<br />

on the right hand or the left, and according to depth, is either<br />

upwards or downwards.) But it was denominated pertaining<br />

to two times, from the distribution of the whole of time being<br />

effected by six signs of the zodiac above, and six under the<br />

earth. Or it was thus called, because time is allied to the triad,<br />

since it consists of three parts, and the hexad is formed from<br />

two triads."<br />

With respect to the epithets Persea and triformed, the hexad<br />

appears to have been thus denominated for the same reason<br />

that it was called Trivia; for it is well known that Diana is triformed,<br />

and this goddess is called Persia by Orpheus in the introduction<br />

to his hymns. But we are informed by the anonymous<br />

writer that the hexad was called Amphitrite, because it<br />

has a triad on each side of it; and Anchidice, because it is especially<br />

proximate to the pentad, which as we have before<br />

shown was called by the Pythagoreans 8~ dice, or Justice.<br />

Lastly, the same author informs us, that it was called Thalia<br />

and Panacea, the former on account of the harmony of its com-

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