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

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62 THE LOGICAL PROPOSITION.<br />

earth s orbit (i.e., nearer to the sun).&quot; The excepted part<br />

<strong>of</strong> the first proposition becomes the exclusive part <strong>of</strong> the<br />

second ;<br />

&quot;<br />

except Venus and &quot;<br />

Mercury<br />

becomes<br />

&quot;<br />

Venus and<br />

Mercury alone.&quot; Both are analysable into the same pair<br />

<strong>of</strong> propositions.<br />

(2)<br />

&quot;<br />

Nothing is beautiful except Truth.&quot;<br />

( (a) Truth is beautiful (A or I),<br />

} (b) Nothing other than Truth is beautiful.<br />

If in the original st<strong>at</strong>ement the excepted part<br />

<strong>of</strong> the<br />

subject is not distinguished by name from the rest <strong>of</strong> it,<br />

we may have to sacrifice part <strong>of</strong> the meaning by expressing<br />

the st<strong>at</strong>ement as a pair <strong>of</strong> I propositions :<br />

(3)<br />

&quot;<br />

All the judges but two condemned the prisoner.&quot;<br />

( (a) Some judges<br />

voted for condemn<strong>at</strong>ion,<br />

\ (b) Some judges voted for acquittal.<br />

On this point, see below, 4, example 12.<br />

4. We shall now investig<strong>at</strong>e the transl<strong>at</strong>ion <strong>of</strong> the<br />

simpler propositions into <strong>logic</strong>al<br />

form. The student<br />

will find the following suggestions <strong>of</strong> service.<br />

(a) If the true subject <strong>of</strong> the proposition is not<br />

obvious <strong>at</strong> a glance, we have to ask, <strong>of</strong> wh<strong>at</strong> is this<br />

st<strong>at</strong>ement made, wh<strong>at</strong> is being spoken about? The<br />

answer to this question will bring out the <strong>logic</strong>al subject<br />

<strong>of</strong> the proposition, which is not always the same as the<br />

gramm<strong>at</strong>ical subject <strong>of</strong> the sentence.<br />

(b) Having found the subject, we next ask, wh<strong>at</strong> is<br />

st<strong>at</strong>ed about it, wh<strong>at</strong> is the assertion made <strong>of</strong> it ? The<br />

answer to this will bring out the <strong>logic</strong>al predic<strong>at</strong>e, and<br />

show whether it is affirmed or denied <strong>of</strong> the subject.<br />

The verb must be changed, if necessary, so as to admit<br />

<strong>of</strong> the predic<strong>at</strong>ion being made by the present tense <strong>of</strong><br />

the verb to be.<br />

(c) Then we have to ask whether this predic<strong>at</strong>e is<br />

intended to apply to the whole <strong>of</strong> the subject, to every<br />

instance <strong>of</strong> it, or whether the proposition only intends<br />

to commit itself to a st<strong>at</strong>ement about<br />

&quot; some<br />

&quot;<br />

only<br />

or

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