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

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154<br />

MEDIATE INFERENCE<br />

<strong>at</strong> ; a subject is referred to a class the <strong>at</strong>tributes <strong>of</strong> which<br />

are supposed to be definitely known. Thus :<br />

He was too ambitious to be scrupulous in his choice <strong>of</strong><br />

means.<br />

He was too impulsive not to have made many blunders.<br />

Each <strong>of</strong> these sentences contains a conclusion and an<br />

enthymem<strong>at</strong>ic argument in support <strong>of</strong> it. The hearer is<br />

understood to have in his mind a definite idea <strong>of</strong> the degree<br />

<strong>of</strong> ambition <strong>at</strong> which a man ceases to be scrupulous, or the<br />

degree <strong>of</strong> impulsiveness th<strong>at</strong> is incomp<strong>at</strong>ible with accuracy.&quot;<br />

The Aristotelian Enthymeme (evdv^/jLo) is not<br />

necessarily an elliptically expressed syllogism; it is an<br />

argument which aims only <strong>at</strong> establishing a result as<br />

probable, as more than possible, but not certain to<br />

happen, so far as our premises tell us. This ex<br />

tremely important and frequent form <strong>of</strong> reasoning will<br />

be discussed when we come to tre<strong>at</strong> <strong>of</strong> Induction.<br />

Because Aristotle and his comment<strong>at</strong>ors spoke <strong>of</strong> the<br />

enthymeme as an &quot;incomplete syllogism,&quot; meaning a<br />

syllogism or argument which does not furnish complete<br />

pro<strong>of</strong>, l<strong>at</strong>er <strong>logic</strong>ians supposed th<strong>at</strong> it was<br />

&quot;<br />

incom<br />

in words. Wh<strong>at</strong><br />

plete,&quot; as being not fully expressed<br />

Aristotle has to say about enthymemes belongs essen<br />

but the modern<br />

tially to the doctrine <strong>of</strong> reasoning;<br />

doctrine <strong>of</strong> the enthymeme is simply a notice <strong>of</strong> the<br />

ways in which, in ordinary speech, we move on from<br />

one fact or st<strong>at</strong>ement to another without stopping to<br />

make all the steps definite and explicit. This is why<br />

fallacies are so <strong>of</strong>ten hidden; an argument is based<br />

upon some unexpressed assumption<br />

examin<strong>at</strong>ion.<br />

which will not bear<br />

Syllogisms may be combined, in various ways, into<br />

&quot;chains <strong>of</strong> reasoning.&quot; A common form is th<strong>at</strong> in<br />

which the conclusion <strong>of</strong> one syllogism furnishes one <strong>of</strong><br />

the premises <strong>of</strong> the next :

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