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

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THE PREDICABLES. 1 67<br />

similarly, the characteristics <strong>of</strong> being bounded by straight<br />

lines, all in the same plane, belong to many other figures<br />

beside &quot;triangles.&quot; A difference, again, is a quality or<br />

qualities distinguishing one kind <strong>of</strong> things<br />

kinds <strong>of</strong> the same genus :<br />

&quot; Man<br />

is r<strong>at</strong>ional.&quot;<br />

&quot;Triangles are three-sided&quot;<br />

from other<br />

In the second case (/;) P is a o-vfjifieftrj/cos, usually<br />

rendered accident, a quality which may or may not<br />

belong to the subject ;<br />

a century.&quot;<br />

&quot; some men live for upwards <strong>of</strong><br />

It will be found th<strong>at</strong> every proposition must come<br />

under one <strong>of</strong> these four heads. Most <strong>of</strong> the assertions<br />

which we make in common life are cases <strong>of</strong> the so-called<br />

&quot;<br />

accidental<br />

&quot;<br />

predic<strong>at</strong>ion.<br />

2. We must now consider more fully these four<br />

kinds <strong>of</strong> predic<strong>at</strong>ion.<br />

(a) Genus and Difference.<br />

The concept which is poorer in defined qualities but<br />

<strong>of</strong> wider extension is said to be the concept <strong>of</strong> a genus ;<br />

while th<strong>at</strong> which is richer in defined qualities, but nar<br />

rower in extension, is called the concept <strong>of</strong> a species<br />

(eZSo?). These terms are strictly correl<strong>at</strong>ive (ch. II.<br />

3). The rel<strong>at</strong>ion <strong>of</strong> species to genus is th<strong>at</strong> <strong>of</strong><br />

subordin<strong>at</strong>ion.<br />

The simplest illustr<strong>at</strong>ions <strong>of</strong> generic and specific<br />

concepts may be found in elementary plane geometry<br />

e.g., &quot;a triangle is a three-sided rectilineal figure.&quot; A<br />

&quot;rectilineal figure&quot;<br />

is a figure bounded by a certain<br />

number (not yet defined) <strong>of</strong> straight lines. This is the<br />

concept <strong>of</strong> a genus,<br />

Aristotle s<br />

lyez o?. It is a wider<br />

group, including triangles, squares and other quadri<br />

l<strong>at</strong>erals, pentagons, &c. When we make the number

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