Figure

Understanding Figure  in Categorical Syllogism

In traditional logic, a syllogism has a structure determined by its mood and figure. There are four figures in syllogisms, each based on the position of the middle term in the premises. Figure  is the most complex and less frequently used of these.

Structure of Figure

In Figure , the middle term (M) appears as:

  • Major Premise: P – M
  • Minor Premise: M – S
  • Conclusion: S – P

Here, S is the subject of the conclusion, P is the predicate, and M is the middle term.

Example of Figure

Premise 1: All animals are living beings. (P – M)
Premise 2: All humans are animals. (M – S)
Conclusion: Therefore, all humans are living beings. (S – P)

Conclusion

Figure  is logically valid in certain moods like AEE, AAI, etc., and helps in constructing arguments where the middle term connects in an indirect order. Understanding syllogistic figures strengthens the ability to evaluate logical reasoning.

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