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An introductory text-book of logic - Mellone, Sydney - Rare Books at ...

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188 DEFINITION.<br />

goes back to Pl<strong>at</strong>o. It has been adopted by the<br />

mediaeval and formal <strong>logic</strong>ians because it appears to<br />

provide a theory <strong>of</strong> division which does not make the<br />

process depend entirely on the m<strong>at</strong>ter <strong>of</strong> our knowledge,<br />

as classific<strong>at</strong>ion does ( 8). But division by dichotomy<br />

is no more independent <strong>of</strong> our knowledge <strong>of</strong> the facts<br />

than any other kind <strong>of</strong> classific<strong>at</strong>ion. This is clearly<br />

shown by Aristotle in criticising Pl<strong>at</strong>o s view <strong>of</strong> the<br />

process (<strong>An</strong>. Prior., i. 31). Pl<strong>at</strong>o appeared to claim<br />

th<strong>at</strong> by this process we might discover definitions, or <strong>at</strong><br />

least prove them. Thus it was thought th<strong>at</strong> we could<br />

discover wh<strong>at</strong><br />

&quot;<br />

&quot;<br />

man is by taking a suitable summum<br />

genus to which (we decide) man belongs i.e., Substance<br />

or Being. This we divide into<br />

&quot;<br />

corporeal<br />

&quot;<br />

and &quot;not<br />

being ; then, deciding th<strong>at</strong> man belongs to<br />

&quot;<br />

corporeal<br />

the former class, corporeal substance or body, we divide<br />

this into<br />

&quot;<br />

organic bodies<br />

&quot;<br />

and bodies<br />

&quot;<br />

not organic,&quot;<br />

and decide th<strong>at</strong> man belongs to the former ; and so on.<br />

Each pair <strong>of</strong> terms are contradictories, and the result<br />

may be expressed in a table which was afterwards called<br />

the<br />

&quot;<br />

&quot;<br />

Tree <strong>of</strong> :<br />

Porphyry<br />

organic<br />

i.e., living being<br />

I<br />

Substance<br />

&quot; J_<br />

f<br />

I<br />

corporeal not corporeal<br />

i.e., body<br />

1<br />

&quot;I<br />

sentient not sentient<br />

i.e., animal<br />

r<strong>at</strong>ional not r<strong>at</strong>ional<br />

i.e., man<br />

I<br />

Socr<strong>at</strong>es Pl<strong>at</strong>o and others<br />

I<br />

|<br />

not organic

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