Novum organon renovatum: Being the second part of the philosophy of the inductive sciencesWhewell, William
Philosophy
Novum organon renovatum: Being the second part of the philosophy of the inductive sciences
Whewell, William
Science -- Philosophy
3. Steps similar to these three may be discerned in all other
discoveries of laws of nature. Thus, in investigating the laws of
the motions of the sun, moon or planets, we find that these motions
may be resolved, besides a uniform motion, into a series of partial
motions, or Inequalities; and for each of these Inequalities, we
have to learn upon what it directly depends, whether upon the
progress of time only, or upon some configuration of the heavenly
bodies in space; then, we have to ascertain its law; and finally, we
have to determine what is its amount. In the case of such
Inequalities, the fundamental element on which the Inequality
depends, is called by mathematicians the _Argument_. And when the
Inequality has been fully reduced to known rules, and expressed in
the form of a Table, the Argument is the fundamental Series of
Numbers which stands in the margin of the Table, and by means of
which we refer to the other Numbers which express the Inequality.
Thus, in order to obtain from a Solar Table the Inequality of the
sun's annual motion, the Argument is the Number which expresses the
day of the year; the Inequalities for each day being (in the Table)
ranged in a line corresponding to the days. Moreover, the Argument
of an Inequality being assumed to be known, we must, in order to
calculate the Table, that is, in order to exhibit the law of nature,
know also the _Law_ of the Inequality, and its _Amount_. And the
investigation of these three things, the Argument, the Law, and the
Amount of the Inequality, represents the three steps above
described, the Selection of the Idea, the Construction of the
Conception, and the Determination of the Magnitude.
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