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
S G
E ∴ This man is not to be trusted. _Valid in form._
――― ―――――――
M G
(3) A All gravitating bodies are material,
――――――――――――――――――
S M
E Ether does not gravitate,
――――― ―――――――――
S G
E ∴ Ether is not material. _Illicit major._
――――― ――――――――
M G
(4) A All who despise knowledge are fools,
―――――――――――――――――――――
S M
E This man does not despise knowledge,
――― ―――――――――――――――――
S G
E ∴ This man is not a fool. _Illicit major._
――― ――――
M
(5) E No one who merely does what is pleasing to himself has
―――――――――――――――――――――――――――――――――――――――――――――――
G
merit in relieving distress,
―――――――――――――――――――――――――――
S M
A A charitable man merely does what is pleasing to himself,
――――――――――――――
S G
E ∴ No charitable man has merit in relieving distress. _Valid
―――――――――――――― ―――――――――――――――――――――――――――
in form._
M G
(6) A All the rich buy justice,
S M
A All who get justice are rich,
―――――――――――――――
S G
A ∴ All who get justice buy it. _Valid in form._
―――――――――――――――
In supplying suppressed premises the critic is duty bound to give
the author the benefit of the doubt, if by so doing no principle in
logic is violated and the proposition conforms to good English and good
sense. Often it is not easy to perceive in the abbreviated argument
the meaning intended; in such instances all legitimate effort should be
directed to making the argument valid. To illustrate: In supplying the
major premise of argument “6” it would be easy to make it, “All justice
is bought by the rich”; in consequence the critic could pronounce the
argument invalid as the middle term would be undistributed.
Before asserting that an argument is fallacious because it has four
terms rather than three, the student must make sure that there are
no synonyms or equivalents used. In argument “4,” for instance, there
are apparently the four terms: (1) “foolish,” (2) “despise knowledge,”
(3) “man,” (4) “fool”; but to regard “_foolish_” and “_fool_” as
synonyms does not seem like undue liberty. The following arguments
further illustrate this need of _recognizing synonyms_:
Public-domain text, read in full here on John Shaqi.
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