10.04.2013 Views

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

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

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

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

274<br />

THE THEORY OF INDUCTION<br />

have every circumstance in common save one, th<strong>at</strong><br />

one occurring only in the former ; the circumstance<br />

in which alone the two instances differ is the cause or<br />

an indispensable part <strong>of</strong> the cause <strong>of</strong> the phenomenon.&quot;<br />

The canon may be more simply and as follows :<br />

clearly expressed<br />

When the addition <strong>of</strong> an agent is followed<br />

by the appearance, or its subtraction by the disap<br />

pearance, <strong>of</strong> a certain event, other circumstances<br />

remaining the same, th<strong>at</strong> agent is the cause <strong>of</strong> the<br />

event. When the suspected agent is present, we have<br />

the positive instance ; when it is absent, the neg<strong>at</strong>ive<br />

instance. Wh<strong>at</strong> cannot be elimin<strong>at</strong>ed without doing<br />

away with the event, is causally<br />

connected with it.<br />

One <strong>of</strong> the simplest illustr<strong>at</strong>ions <strong>of</strong> this method is seen in<br />

the coin and fe<strong>at</strong>her experiment, designed to show th<strong>at</strong> the<br />

resistance <strong>of</strong> the air is the cause <strong>of</strong> a light article, as a fe<strong>at</strong>her,<br />

falling to the ground more slowly than a heavier one, as<br />

a coin. The phenomenon to be investig<strong>at</strong>ed is the retard<br />

&quot;<br />

<strong>at</strong>ion <strong>of</strong> the fe<strong>at</strong>her. When the two are dropped simul<br />

taneously in the receiver <strong>of</strong> an air-pump, the air being left in,<br />

the fe<strong>at</strong>her flutters to the ground after the coin. This is the<br />

instance where the phenomenon occurs (the positive instance).<br />

Then the air is pumped out <strong>of</strong> the receiver, and the coin and<br />

fe<strong>at</strong>her, being dropped <strong>at</strong> the same instant, reach the ground<br />

together. This is the instance where the phenomenon does<br />

not occur (the neg<strong>at</strong>ive instance).&quot; The single circumstance<br />

<strong>of</strong> difference is the presence <strong>of</strong> the air in the former case,<br />

and with its removal the retard<strong>at</strong>ion <strong>of</strong> the fe<strong>at</strong>her s fall<br />

is removed.<br />

In further illustr<strong>at</strong>ion <strong>of</strong> this method, we may return to the<br />

first <strong>of</strong> the examples given in the previous section. The pro<br />

duction <strong>of</strong> colours by light passing through spherical and<br />

prism<strong>at</strong>ic glasses had already been noticed ; and<br />

Newton<br />

proceeded to make it the subject <strong>of</strong> exact experiment by<br />

repe<strong>at</strong>ed applic<strong>at</strong>ions <strong>of</strong> the Method <strong>of</strong> Single Difference.<br />

A beam <strong>of</strong> the sun s light admitted through a small hole in<br />

an otherwise darkened room, produces on a screen a circular

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!