10.04.2013 Views

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

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

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

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

THE LOGICAL PROPOSITION. 59<br />

such expressions into Subject, Predic<strong>at</strong>e, and Copula<br />

makes us familiar with wh<strong>at</strong> they imply, and strengthens<br />

the habit <strong>of</strong> exact interpret<strong>at</strong>ion.<br />

St<strong>at</strong>ements are frequently met with which combine<br />

two or more propositions, which have to be distinguished<br />

and separ<strong>at</strong>ely st<strong>at</strong>ed in the reduction to <strong>logic</strong>al form.<br />

Such compound propositions were called by the older<br />

<strong>logic</strong>ians exponible. The most common instance is the<br />

connection <strong>of</strong> propositions together by simple con<br />

junctions, such as &quot;and,&quot; &quot;but,&quot; &quot;although,&quot;<br />

theless,&quot; &c. These are easily analysed.<br />

(1) &quot;France and Germany<br />

equivalent to<br />

(2)<br />

J (a) France resolved on war.<br />

resolved on war.<br />

( (b) Germany<br />

&quot;never<br />

resolved on war&quot; 1<br />

&quot;<br />

Gold and silver are precious metals &quot;-<br />

J (a) Gold is a precious metal.<br />

( (b) Silver is a precious metal.<br />

(3) &quot;The gre<strong>at</strong> is not good, but the good is gre<strong>at</strong>&quot;<br />

(4)<br />

(5)<br />

(6)<br />

j (a) The gre<strong>at</strong> is not good because it is gre<strong>at</strong>.<br />

(<br />

(/&amp;gt;&amp;gt;) The good is gre<strong>at</strong>.<br />

&quot;<br />

&quot;-<br />

He is poor but dishonest<br />

&quot; The<br />

&quot; Men<br />

J (a) He is poor.<br />

( (f) He is dishonest.<br />

&quot;<br />

more the merrier<br />

(a) A given number is enough for some<br />

merriment.<br />

(b) More will produce gre<strong>at</strong>er merriment.<br />

who are honest and pious will never fail to<br />

be respected, though poor and illiter<strong>at</strong>e ; provided they<br />

&quot;<br />

are<br />

self-supporting, but not if they are paupers (Venn).<br />

1 The word and in the Subject occasionally makes it collective,<br />

and then the proposition is not compound: &quot;two and two make<br />

four.&quot;<br />

is

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!