A Class Room Logic: Deductive and Inductive, with Special Application to the Science and Art of TeachingMcNair, George Hastings
Philosophy
A Class Room Logic: Deductive and Inductive, with Special Application to the Science and Art of Teaching
McNair, George Hastings
Logic
(2) “The civil power has the right of ecclesiastical jurisdiction
and administration, therefore parliament may impose articles
of faith on the church or suppress dioceses.” Hibben.
(3) “Seeing that abundance of work is a sure sign of industrial
prosperity, it follows that fire and hurricane benefit
industry, because they undoubtedly create work.”
St. Andrews――1895.
(4) “Riches are for spending, and spending for honor and good
action; therefore, extraordinary expense must be limited by
the worth of the occasion.” Bacon.
(5) “And let a man beware how he keepeth company with choleric
and quarrelsome persons; for they will engage him into their
own quarrels.” Bacon.
(6) “He that resteth upon gains certain, shall hardly grow to
great riches; and he that puts all upon adventures, doth
oftentimes break and come to poverty. It is good, therefore,
to guard adventures with certainties that they may uphold
losses.” Bacon.
CHAPTER 17.
INDUCTIVE REASONING.
=1. INDUCTIVE AND DEDUCTIVE REASONING DISTINGUISHED.=
It has been remarked that inference is the process of deriving a
judgment from one or two antecedent judgments, and that mediate
inference is inference by means of a middle term. But to reason by
means of a middle term necessitates two judgments; hence mediate
inference might be defined as the process of deriving a judgment from
_two_ antecedent judgments. In this treatment mediate inference and
reasoning have been used interchangeably. This, then, becomes our
definition for reasoning: _Reasoning is the process of deriving a
judgment from two antecedent judgments._
The syllogism results when the process of reasoning is formally
clothed in words. Moreover, the conclusion of the syllogism may be
_more_ general than the premises or _less_ general. This suggests the
two important kinds of reasoning; namely, inductive and deductive.
Inductive reasoning is reasoning from less general premises to a more
general conclusion. Deductive reasoning is reasoning from more general
premises to a less general conclusion.
ILLUSTRATION:
_Inductive Syllogism._ _Deductive Syllogism._
The robin, crow, sparrow, All birds have wings,
etc. have wings, The robin, crow, sparrow,
The robin, crow, sparrow, etc. are birds,
etc. are birds, ∴ The robin, crow, sparrow,
∴ All birds have wings. etc. have wings.
Iron, silver, gold, etc. are All metals are elements,
elements, Iron, silver, gold, etc. are
Iron, silver, gold, etc. are metals,
metals, ∴ Iron, silver, gold, etc. are
∴ All metals are elements. elements.
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