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

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OR SCIENTIFIC METHOD. 307<br />

must not contradict itself. If, on the other hand,<br />

&quot;conceivable&quot; means &quot;easy to imagine&quot; in the sense<br />

<strong>of</strong> picturing the meaning to one s mind, then it is not<br />

true to say th<strong>at</strong> a legitim<strong>at</strong>e hypothesis must be &quot;con<br />

ceivable.&quot; It is not easy to imagine the antipodes,<br />

where<br />

&quot;<br />

to go<br />

&quot;<br />

up means to go in a direction diamet<br />

rically opposite to th<strong>at</strong> which we so describe ; it is not<br />

easy to imagine th<strong>at</strong> \ve are moving through space with<br />

gre<strong>at</strong> velocity in two different directions <strong>at</strong> once. It is<br />

not easy to imagine th<strong>at</strong> if an organ were played by<br />

machinery in a hall, and there were no living cre<strong>at</strong>ures<br />

in or near it, it would make no sound. It is harder still<br />

to imagine th<strong>at</strong> we live and move in a perfectly solid<br />

and elastic medium, possessing no weight, and capable<br />

<strong>of</strong> nine hundred millions <strong>of</strong> millions <strong>of</strong> vibr<strong>at</strong>ions in a<br />

second <strong>of</strong> time. For similar reasons it is a mistake to<br />

make the rule say th<strong>at</strong> a legitim<strong>at</strong>e hypothesis must not<br />

conflict with any <strong>of</strong> the &quot;received&quot; or &quot;accepted&quot; laws<br />

<strong>of</strong> N<strong>at</strong>ure. The rule means th<strong>at</strong>, though an hypothesis<br />

may be new or strange i.e., may conflict with the<br />

apparent implic<strong>at</strong>ions <strong>of</strong> previous knowledge it may<br />

still be legitim<strong>at</strong>e. <strong>An</strong>d it is legitim<strong>at</strong>e if, when we<br />

consider both wh<strong>at</strong> the hypothesis implies and wh<strong>at</strong><br />

is implied in our previously accepted knowledge, the<br />

discrepancy can be shown to be only apparent. This<br />

may require a modific<strong>at</strong>ion <strong>of</strong> the received knowledge,<br />

by which it is set in a new light ; and it may require a<br />

modific<strong>at</strong>ion <strong>of</strong> the hypothesis also. Thus, the sup<br />

position <strong>of</strong> the &quot;antipodes&quot; was once believed to be in<br />

conflict with ordinary experience, for it seemed to mean<br />

th<strong>at</strong> on the other side <strong>of</strong> the earth were people living<br />

with their heads &quot;downwards.&quot; The difficulty was<br />

removed when it was understood th<strong>at</strong><br />

&quot;<br />

&quot;<br />

down<br />

means<br />

only the direction in which the mass <strong>of</strong> the earth <strong>at</strong>tracts

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