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
M G
(1) A All dogs are quadrupeds,
――――
S M
A All greyhounds are dogs,
――――――――――
S G
A ∴ All greyhounds are quadrupeds.
――――――――――
{ A
This argument is in the first figure, the mood being { A. All
{ A
the propositions are affirmative and universal, consequently the
rules pertaining to negatives and particulars are inapplicable. “A”
distributes the subject only, hence all the subjects are underscored.
The middle term “_dog_” is distributed in the major premise, and the
minor term “_greyhound_,” which is distributed in the conclusion, is
likewise distributed in the minor premise. The argument is, therefore,
valid in _form_. This may be verified by referring to a list of valid
moods in the first figure.
G M
(2) E No prejudiced person is open to conviction,
――――――――――――――――― ――――――――――――――――――
S M
A All fair minded persons are open to conviction,
―――――――――――――――――――
S G
E ∴ No fair minded person is prejudiced.
――――――――――――――――――
{ E
The argument is in the second figure; mood { A. There is one
{ E
negative premise and the conclusion is negative; no particulars.
“E” distributes both terms, “A” the subject only. The middle term
is distributed in the major premise. Both major and minor terms are
distributed in the conclusion, but they are likewise distributed in
the premises where they are used. The argument is, therefore, valid.
Reference to the valid moods of the second figure confirms this
conclusion.
M G
(3) A All good citizens vote,
―――――――――――――
M S
A All good citizens obey the law,
―――――――――――――
S G
A ∴ All who obey the law vote.
――――――――――――――――
{ A
The mood is { A used in the third figure. All the propositions are
{ A
A’s, hence the negative and particular rules are inapplicable. “A”
distributes its subject. The middle term is distributed in both
premises. “All who obey the law” is distributed in the conclusion but
not in the premise where it is used. Therefore the argument is invalid.
{ A
The fallacy being _illicit minor_. { A is not found in the third
{ A
figure’s list of valid moods.
M G
(4) A All good citizens vote,
―――――――――――――
Public-domain text, read in full here on John Shaqi.
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