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Categorical Logical Operations Exercises

Practice using the Traditional Square of Opposition and the relationships of converse, obverse, and contrapositive.

AB
What is the converse of the contrary of No non-S are P?The contrary is All non-S are P and the converse of that is: All P are non-S.
What is the obverse of the contradictory of All A are non-B?The contradictory is Some A are not non-B and the obverse of that is: Some A are B.
What is the subalternate of the contrapositive of Some non-A are non-B?The contrapositive is Some B are A, and the subalternate of that is: All B are A.
What is the converse of the contrary of No A are non-B?The contrary is All A are non-B and the converse of that is: All non-B are A.
What is the obverse of No A are non-B?The obverse is: All A are B.
What is the subcontrary of Some A are not non-B (F)?The subcontary is Some A are non-B (T).
What is the contrapositive of Some non-A are non-B (T)?The contrapositive is Some B are A (U).
What is the subalternate of All A are B (F)?The subalternate is: Some A are B (U).
What is the obverse of the converse of Some non-A are B?The converse is Some B are non-A, and the obverse of that is: Some B are not A.
What is the contrary of the contrapositive of All S are non-P?The contrapositive is All P are non-S and the contrary of that is: No P are non-S.


Orange Coast College
Costa Mesa, CA

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