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The Timaeus of Plato

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TIMAIO2. 161<br />

<strong>of</strong> the visual current and <strong>of</strong> the object seen come into contact,<br />

the other hand right<br />

contrary to the wonted mode <strong>of</strong> collision. On<br />

appears as right and left as left, when in the act <strong>of</strong> combination<br />

with that wherewith it combines the ray changes sides. This<br />

happens when the smooth surface <strong>of</strong> the mirror is curved upwards<br />

on each side and so throws the right portion <strong>of</strong> the visual<br />

current to the left side and the ccfoiverse. But if it is turned<br />

lengthwise to the face, it makes this same reflection appear<br />

completely upside down, thrusting the lower portion <strong>of</strong> the ray<br />

to the upper end and the upper to the lower.<br />

All these things are among the secondary causes which God<br />

uses to serve him in carrying out the idea <strong>of</strong> the best so far<br />

as is possible. But the multitude regard them not as secondary<br />

but as primary causes, which act by cooling and heating, condensing<br />

and rarefying, and all such processes. Yet they are<br />

incapable <strong>of</strong> all reason or thought for any purpose. For the<br />

only existing thing to which belongs the possession <strong>of</strong> reason<br />

moment <strong>of</strong> impact. In the case <strong>of</strong> a concave<br />

mirror the section AB would be<br />

a curved line instead <strong>of</strong> straight ;<br />

and<br />

thereby a ray from the right side, just at<br />

the moment <strong>of</strong> impact, while it is in act<br />

<strong>of</strong> amalgamating with the ray from the<br />

object, is shifted to the left side, and vice<br />

versa- It must be remembered that the<br />

concave mirrors <strong>of</strong> which <strong>Plato</strong> speaks<br />

are not <strong>of</strong> the sort with which we are<br />

most familiar, namely hemispherical<br />

mirrors :<br />

they are hemicylindrical : therefore<br />

when the mirror is held laterally, so<br />

that the curvature is from right to left,<br />

the position <strong>of</strong> right and left as compared<br />

with a reflection in a plane mirror is<br />

inverted ; if it is held vertically (Kara.<br />

pfJKos TOV irpocrwirov), so that the<br />

curvature is from top to bottom, the<br />

reflection is upside down. See Munro's<br />

note on Lucretius iv 317. If the mirror<br />

were hemispherical, or one which is<br />

concave all round from centre to circumference,<br />

both right and left and top and<br />

bottom would be inverted, as may be<br />

seen by simply looking into the bowl <strong>of</strong><br />

P. T.<br />

a silver spoon. This case is not noticed<br />

by <strong>Plato</strong>, nor by Lucretius /. /. Martin<br />

gives a mathematical explanation <strong>of</strong> the<br />

phenomena.<br />

9. TWV jjvvaiTCwv] <strong>Plato</strong> now proceeds<br />

to guard against being supposed to<br />

mean that the physical principles which<br />

he has just laid down are the real cause :<br />

they are merely the means through which<br />

the true cause works, viz., poCs operating<br />

^?ri rb (3\Tiffrov. Compare Phaedo 99 B.<br />

<strong>The</strong> whole <strong>of</strong> this latter part <strong>of</strong> the<br />

chapter contains a polemic partly against<br />

Anaxagoras, partly against Demokritos.<br />

Anaxagoras did indeed postulate vovt<br />

as his prime force, but he used it<br />

simply<br />

as a mechanical agent, without attributing<br />

to it a conscious effort to produce the best<br />

result. Demokritos conceives a blind<br />

unconscious force, avdyKi), to be the<br />

motive power <strong>of</strong> the universe. Thus<br />

whereas the opposition between Demokritos<br />

and <strong>Plato</strong> is fundamental and<br />

essential, <strong>Plato</strong>'s controversy with Anaxagoras<br />

is due rather to inconsequence or<br />

incompleteness on the part <strong>of</strong> the latter.<br />

II

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