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

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THE PROBLEMS WHICH WE HAVE RAISED. 353<br />

and distinguishing them according as one is like or un<br />

like or comes before or after another. Knowledge is<br />

the sum <strong>of</strong> these details <strong>of</strong><br />

nection into any kind <strong>of</strong> system.<br />

&quot;<br />

sens<strong>at</strong>ion,&quot; not their con<br />

When working out this line <strong>of</strong> thought, Mill argues th<strong>at</strong><br />

every Judgment<br />

Bosanquet says<br />

refers to &quot;real<br />

things,&quot; and then as Mr<br />

&quot;<br />

almost takes our bre<strong>at</strong>h away by calling<br />

them [the real things ] st<strong>at</strong>es <strong>of</strong> consciousness<br />

&quot;<br />

(I. v.<br />

i, 5). From the same point <strong>of</strong> view he insists th<strong>at</strong> &quot;every<br />

general truth is an aggreg<strong>at</strong>e <strong>of</strong> particular truths&quot; (II. iii.<br />

3), where &quot;particular&quot; means &quot;unconnected&quot; by anything<br />

common to it with others. <strong>An</strong>d Induction tends to mean the<br />

process by which these disconnected details can manufacture<br />

(in our minds) general st<strong>at</strong>ements or laws. Hence also he<br />

maintains th<strong>at</strong> the Law <strong>of</strong> Uniform Caus<strong>at</strong>ion, which he had<br />

st<strong>at</strong>ed to be the presupposition <strong>of</strong> all Induction (meaning<br />

Scientific Method), &quot;is itself an instance <strong>of</strong> Induction&quot;<br />

(meaning the process <strong>of</strong> combining the disconnected par<br />

ticulars <strong>of</strong> sense -experience into general st<strong>at</strong>ements). It<br />

is, moreover, an instance <strong>of</strong> &quot;Induction&quot; in its weakest<br />

form (III. ch. xxi.) ; and Mill <strong>at</strong>tempts to evade the result<br />

ing difficulty, as we have seen, by a flagrant though un<br />

conscious petitio principii (see above, ch. VIII. 6 ; ch. X.<br />

i. P- 323)-<br />

From the same line <strong>of</strong> thought came the view th<strong>at</strong> &quot;all<br />

reasoning is from particulars to particulars&quot; (II. iii. 4);<br />

and the denial <strong>of</strong> the name <strong>of</strong> Induction to the generalisa<br />

tions <strong>of</strong> M<strong>at</strong>hem<strong>at</strong>ics, because &quot;the truth obtained, though<br />

really general, is not believed on the evidence <strong>of</strong> particular<br />

instances&quot; (III. ii.<br />

2). In this sense, the Methods <strong>of</strong><br />

Scientific Inquiry expounded by Mill himself in his Third<br />

Book are not<br />

&quot;<br />

&quot;<br />

inductive ; they do not, and can not, start<br />

with disconnected particulars, but with facts observed to be<br />

<strong>of</strong> such and such a kind, facts read through conceptions.<br />

9. The subject <strong>of</strong> the rel<strong>at</strong>ion <strong>of</strong> Logic to other<br />

branches <strong>of</strong> Philosophy is one th<strong>at</strong> has been the subject<br />

<strong>of</strong> much unpr<strong>of</strong>itable discussion ; nevertheless, some im-<br />

z

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