Syllogisms Valid immediate inferences

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Valid immediate inferences:

Converse

  • Given a type E statement, from the traditional square of opposition, “No S are P.”, one can make the immediate inference that “No P are S” which is the converse of the given statement.
  • Given a type I statement, “Some S are P.”, one can make the immediate inference that “Some P are S” which is the converse of the given statement.

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Basics and Rules of Syllogism
Immediate and Mediate Inferences
Steps of Solve Syllogism with MCQs

 

Obverse

  • Given a type A statement, “All S are P.“, one can make the immediate inference that No S are non-P” which is the obverse of the given statement.
  • Given a type E statement, “No S are P.”, one can make the immediate inference that “All S are non-P” which is the obverse of the given statement.
  • Given a type I statement, “Some S are P.”, one can make the immediate inference that “Some S are not non-P” which is the obverse of the given statement.
  • Given a type O statement, “Some S are not P.”, one can make the immediate inference that “Some S are non-P” which is the obverse of the given statement.

Contra positive

  • Given a type A statement, “All S are P.”, one can make the immediate inference that “All non-P are non-S” which is the contra positive of the given statement.
  • Given a type O statement, “Some S are not P.”, one can make the immediate inference that “Some nonP are not non-S” which is the contrapositive of the given statement.

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