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

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THE GENERAL NATURE OF INDUCTION. 245<br />

combine.&quot; This requires also a temper<strong>at</strong>ure free from ex<br />

tremes <strong>of</strong> he<strong>at</strong> and cold much gre<strong>at</strong>er than those found on<br />

the earth. Now some <strong>of</strong> the planets may resemble the<br />

earth in all the ways enumer<strong>at</strong>ed by Reid, and yet may<br />

not provide for these strictly essential conditions.<br />

We have seen th<strong>at</strong> <strong>An</strong>alogy may be expressed as an in<br />

conclusive but probable argument in fig. ii., an enthymeme<br />

from a &quot;sign.&quot; Hence, as we may have a convergence <strong>of</strong><br />

&quot;<br />

signs,&quot; so we may have a convergence <strong>of</strong> ana<strong>logic</strong>al argu<br />

ments, leading to practical certainty ; thus :<br />

(a} In districts <strong>of</strong> the earth now exposed to glacial action<br />

&quot;<br />

&quot;<br />

we find scored or stri<strong>at</strong>ed rocks ;<br />

In such and such a valley in Gre<strong>at</strong> Britain we find<br />

stri<strong>at</strong>ed rocks ;<br />

Therefore this valley probably has been exposed to<br />

glacial action.<br />

(b) In districts now exposed to glacial<br />

action we find<br />

perched boulders ;<br />

In the same valley we find perched boulders ;<br />

Therefore this valley has been exposed to glacial<br />

action.<br />

(c) In districts now exposed to glacial action we find<br />

l<strong>at</strong>eral and terminal &quot;moraines&quot;;<br />

In the same valley we find l<strong>at</strong>eral and terminal<br />

moraines ;<br />

Therefore this valley has been exposed to glacial<br />

action.<br />

Such a convergence <strong>of</strong> analogies, each inconclusive if taken<br />

by itself, leaves no room for doubt. Of one such case,<br />

Darwin said :<br />

&quot; A<br />

house burnt down by<br />

1<br />

its story more plainly than did this valley.&quot;<br />

fire did not tell<br />

5. In his discussion <strong>of</strong> the Enthymeme and Para-<br />

methods <strong>of</strong> inductive<br />

deigma, Aristotle has analysed<br />

1 The student should notice th<strong>at</strong> the English word analogy comes<br />

from the Greek ai&amp;gt;a\oyia, but has changed the meaning <strong>of</strong> its Greek<br />

original. The word avaXoyia is used for wh<strong>at</strong> we call proportion in<br />

m<strong>at</strong>hem<strong>at</strong>ics, an equivalence <strong>of</strong> r<strong>at</strong>ios, laoT-rjs \6ywv. In this sense<br />

<strong>of</strong> the word it would be said th<strong>at</strong> the rel<strong>at</strong>ion <strong>of</strong> four to two is anal<br />

ogous to th<strong>at</strong> <strong>of</strong> six to three.

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