And you are not fair.”
Making the exclusive logical and completing gives:
A (All) The M
fair deserve the G
brave,
E S
You are not M
fair,
E ∴ S
You do not deserve the G
brave.
The mood of this argument is
A
E
E used in the first figure. There is a negative premise, also a negative conclusion; no particulars. The middle term is distributed twice. The major term “brave” is distributed in the conclusion but not in the major premise; hence the argument is invalid, the fallacy being illicit major.
NOTE.—There may be some doubt in the student’s mind as to the proposition “None but the brave deserve the fair,” really meaning “All the fair deserve the brave.”This doubt may be better satisfied by treating the exclusive in the second way as indicated on [page 137], to wit: Negate the subject of the exclusive, then give it the form of the regular “E.” This results in “No not-brave persons deserve the fair,” which, after first converting and then obverting becomes, “All the fair deserve the brave.”
Arguments Containing Individual Propositions.