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
(a) Plurality of causes is mentioned by Mill as constituting the
“characteristic imperfection” of the method of agreement. As the term
signifies, plurality of causes represents a condition where a given
phenomenon has more than one cause, or where different causes produce
the same effect. For example, “A poor crop” may be due to drought,
neglect, pests, etc.; heat may be caused by friction, electricity,
combustion. Unfavorable home conditions; ill health; dislike for
teacher――any one of these might be followed by irregular attendance.
(b) Immaterial antecedents are those which precede a given phenomenon
and yet, under the most favorable situations, have no causal connection
with said phenomenon. For example, the various antecedents of the
heavy rain may have been a south wind, forgetting to take an umbrella,
missing the car and having to walk, etc. Clearly these antecedents,
with the exception of the first, are immaterial.
(c) The law of agreement demands that _all the material antecedents_
receive consideration, but often the situation is too complex to
make this possible; a fair illustration of such would be an attempt
to ascertain all of the antecedents of “the high cost of living.”
(d) The law of agreement never precludes the possibility of error; as
it is quite impossible to carry the analysis to the point of absolute
certainty. Of all the methods, “agreement” is the least reliable.
Despite the foregoing objections, however, the method is of positive
value because of its suggestiveness; opening the door to plausible
hypotheses it gives the investigators a _working basis_.
=3. METHOD OF DIFFERENCE.=
(1) Principle stated.
Says Mill, “If an instance in which the phenomenon under investigation
occurs, and an instance in which it does not occur, have every
circumstance in common save one, that one occurring only in the former;
the circumstance in which alone the two instances differ is the effect
or the cause of an indispensable part of the cause, of the phenomenon.”
To put this in simple terms: _Whatever is invariably present when the
phenomenon occurs and invariably absent when the phenomenon does not
occur, other circumstances remaining the same, is probably the cause
or the effect of the phenomenon._
(2) Method symbolized.
Using the same symbols as were used in “Agreement.”
_Antecedents_ _Consequents_
A B C D P
‒ B C D ‒
or
P A B C D
‒ ‒ B C D
In the first instance A is probably the cause of the phenomenon, since
it is present when the phenomenon occurs and absent when it does not
occur. For a similar reason, A is the effect in the second case.
(3) Concrete illustrations.
(A) A wise teacher in ascertaining the cause of John’s tardiness would
have suggested at once a change of route. Using as symbols the initial
letters of the key-words of the antecedents in the case, the following
results:
s d h w t
s d h − ‒
Public-domain text, read in full here on John Shaqi.
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