Identify the figure in the following

"All artists are egoists

Some artists are paupers

Therefore, some paupers are egoists". 

  1. Ist figure
  2. IInd figure
  3. IIIrd figure
  4. IVth figure

Answer (Detailed Solution Below)

Option 3 : IIIrd figure

Detailed Solution

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The correct answer is - IIIrd figure

Key Points

  • IIIrd figure
    • The syllogism provided follows the structure of the IIIrd figure.
    • In the IIIrd figure, the middle term is the subject in the first premise and the predicate in the second premise.
    • In the given argument:
      • All artists (middle term) are egoists (predicate).
      • Some artists (middle term) are paupers (predicate).
      • Therefore, some paupers are egoists.

Additional Information

  • Syllogism Figures
    • There are four figures in syllogistic logic which describe the possible positions of the middle term in the premises:
      • Ist figure: Middle term is the subject in the first premise and the predicate in the second premise.
      • IInd figure: Middle term is the predicate in both premises.
      • IIIrd figure: Middle term is the subject in both premises.
      • IVth figure: Middle term is the predicate in the first premise and the subject in the second premise.
    • Understanding the structure of these figures is crucial in determining the validity of syllogistic arguments.
  • Middle Term
    • The middle term in a syllogism is the term that appears in both premises but not in the conclusion.
    • Its correct placement is essential for the logical flow of the argument.

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