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

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308<br />

THE THEORY OE INDUCTION<br />

bodies by gravit<strong>at</strong>ion ; and th<strong>at</strong> direction is always in a<br />

straight<br />

line towards the earth s centre.<br />

The second rule implies not only th<strong>at</strong> the hypothesis<br />

must be clearly and distinctly conceived in itself; it<br />

must also be conceived after the analogy <strong>of</strong> something<br />

in our experience. To assume something utterly un<br />

like all th<strong>at</strong> we are previously acquainted with,<br />

is to<br />

assume wh<strong>at</strong> can be neither proved nor disproved, for<br />

we could not draw any conclusions from it. Even the<br />

hypothesis <strong>of</strong> an absolutely solid and elastic something,<br />

to explain the phenomena <strong>of</strong> light,<br />

is not <strong>of</strong> this kind.<br />

Jevons says truly th<strong>at</strong> if this<br />

&quot;<br />

&quot;<br />

luminiferous ether were<br />

wholly different from everything else known to us, we<br />

should in vain try to reason about it. &quot;We must<br />

apply to it <strong>at</strong> least the laws <strong>of</strong> motion th<strong>at</strong> is, we<br />

must so far liken it to m<strong>at</strong>ter. <strong>An</strong>d as, when applying<br />

those laws to the elastic medium air, we are able to<br />

infer many <strong>of</strong> the phenomena <strong>of</strong> sound, so by arguing<br />

in a similar manner concerning ether we are able to<br />

infer many <strong>of</strong> the phenomena <strong>of</strong> light.<br />

All th<strong>at</strong> we do<br />

is to take an elastic substance, increase its elasticity im<br />

mensely, and denude it <strong>of</strong> gravity and some other prop<br />

erties <strong>of</strong> m<strong>at</strong>ter ; but we must retain sufficient likeness<br />

to m<strong>at</strong>ter to allow <strong>of</strong> deductive calcul<strong>at</strong>ions.&quot;<br />

Newton did not use the word hypothesis as we now<br />

use it. He used it to signify just such unprovable<br />

assumptions as are excluded by<br />

Hence he said hypotheses non fingo,<br />

this second rule.<br />

&quot;<br />

I do not imagine<br />

hypotheses.&quot; The word is still occasionally used by<br />

scientific writers in this sense.<br />

The third condition is one th<strong>at</strong> we have already<br />

illustr<strong>at</strong>ed. The consequences <strong>of</strong> the hypothesis must<br />

be deduced as rigorously as possible, and then com<br />

pared with the results <strong>of</strong> accur<strong>at</strong>e observ<strong>at</strong>ion. The

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