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Taylor - Theoretic Arithmetic.pdf - Platonic Philosophy

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THEORETIC ARITHMETIC<br />

BOOK ONE<br />

CHAPTER I.<br />

On the priority of <strong>Arithmetic</strong> to the other mathematicd<br />

disciplines.<br />

RITHMETIC is to be learned the first of the<br />

mathematical sciences, because it has the relation<br />

of a principle and mother to all the rest. For it is<br />

prior to all of them, not only because the fabricator<br />

of the universe employed this as the first paradigm<br />

of his distributed intellection, and constituted all things<br />

according to number; but the priority of arithmetic is also<br />

evinced by this, whenever that which is prior by nature is<br />

subverted, that which is posterior is at the same time subverted;<br />

but when that which is posterior perishes, that which is<br />

prior suffers no essential mutation of its former condition.<br />

Thus if you take away animal, the nature of man is immediately<br />

destroyed; but by taking away man, animal will not<br />

perish. And on the contrary, those things are always posterior<br />

which together with themselves introduce something else;<br />

but those have a priority of subsistence, which when they are<br />

enunciated, cointroduce with themselves nothing of a posterior<br />

nature. Thus if you speak of man, you will at the same time<br />

introduce animal; for man is an animal. But if you speak of

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