Which of the following codes correctly represents the figure and mood of the…

2023

Which of the following codes correctly represents the figure and mood of the argument?

'No nuclear powered submarines are commercial vessels, so no warships are commercial vessels, since all nuclear powered submarines are warships.'

Answer: C. EAE-IIICONCEPTThe mood of a categorical syllogism records the proposition types of the major premise, minor premise, and conclusion in that order: A is universal…

  1. A.

    EAE-IV

  2. B.

    AEE-III

  3. C.

    EAE-III

  4. D.

    EEA-II

Show answer & explanation

Correct answer: C

CONCEPT

The mood of a categorical syllogism records the proposition types of the major premise, minor premise, and conclusion in that order: A is universal affirmative and E is universal negative.

The figure records the position of the middle term in the two premises; in figure III, the middle term is the subject of both premises.

APPLICATION

Let W denote warships, C commercial vessels, and N nuclear-powered submarines.

  1. The conclusion is ‘No W are C’, so W is the minor term, C is the major term, and N—absent from the conclusion—is the middle term.

  2. The major premise is ‘No N are C’: it has form E and layout M–P.

  3. The minor premise is ‘All N are W’: it has form A and layout M–S.

  4. The conclusion ‘No W are C’ has form E. The mood is therefore EAE, while M–P / M–S makes the figure III.

CROSS-CHECK / CONTRAST

Reading the original order around ‘so’ gives the same two premises and conclusion. The argument’s validity is separate from its figure-and-mood classification.

  • EAE-IV has the same proposition-type sequence but figure IV requires P–M / M–S.

  • AEE-III changes the major premise from universal negative to universal affirmative.

  • EAE-III preserves E–A–E and places the middle term as subject in both premises.

  • EEA-II changes the proposition-type sequence and uses P–M / S–M.

Result: the figure-and-mood code is EAE-III.

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