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

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IMMEDIATE INFERENCE. 83<br />

Hence SaP, &quot;All mercy which pardons those th<strong>at</strong> kill is<br />

murderous.&quot;<br />

Converse PiS,<br />

pardons<br />

. . .&quot;<br />

&quot;<br />

Something murderous is mercy which<br />

(4) Non omnis mortar [&quot;I shall not all die &quot;].<br />

(a) Myself;<br />

(b) immortality ;<br />

(c) affirmed <strong>of</strong> part <strong>of</strong> the subject.<br />

&quot;<br />

Hence SiP, Some part <strong>of</strong> me is immortal.&quot;<br />

&quot;<br />

Converse PiS, Something immortal is part <strong>of</strong> me.&quot;<br />

The original proposition has a secondary implic<strong>at</strong>ion,<br />

&quot; Some part <strong>of</strong> me is not immortal,&quot; which is formally<br />

&quot;<br />

inconvertible unless we it express in the form, Some part<br />

<strong>of</strong> me is mortal.&quot;<br />

(5) &quot;Tis cruelty to load a falling man.&quot;<br />

(rt) To load a falling man ;<br />

(b) a cruel thing ;<br />

(c} affirmed <strong>of</strong> every instance <strong>of</strong> the subject.<br />

&quot;<br />

In every case to load a falling man is a<br />

Hence SaP,<br />

cruel thing.&quot;<br />

Converse PiS, &quot;Something cruel is to load .<br />

(6)<br />

&quot; We cannot all command success.&quot;<br />

(a) We;<br />

(b) able to command success ;<br />

. .&quot;<br />

(&amp;lt;:) denied <strong>of</strong> the subject in some cases.<br />

Some Hence SoP,<br />

&quot;<br />

&quot; Some <strong>of</strong> us are un<br />

<strong>of</strong> us are not able . . .&quot; Formally<br />

inconvertible, unless we change it into,<br />

able.&quot; The original proposition has a secondary implic<strong>at</strong>ion<br />

SiP, &quot;Some <strong>of</strong> us are able to command success,&quot; with con<br />

beings able to command success are ourselves.&quot;<br />

&quot;<br />

verse, Some<br />

(7)<br />

&quot;<br />

In man there is nothing gre<strong>at</strong> but mind.&quot;<br />

This is a compound proposition (exclusive), and may be<br />

resolved into,<br />

( (i) nothing th<strong>at</strong> is not mind is gre<strong>at</strong> in man ;<br />

( (2) mind is gre<strong>at</strong> in man.<br />

In the first proposition,<br />

(a) wh<strong>at</strong> is not mind ;<br />

(b) a thing gre<strong>at</strong> in man ;<br />

(c) denied <strong>of</strong> the whole subject.<br />

&quot;<br />

Hence SeP, with converse PeS, nothing gre<strong>at</strong> in man<br />

is other than mind.&quot;

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