4.10 Trained and Derived Equivalence Relations

In this case, the person has been taught two relations. Given this training, most people will then derive the four relations shown here. These derived relations might seem obvious, but they’re somewhat unexpected because the person was not directly taught these relations. In the case of deriving B = C and C = B, for example, the person had never even seen B and C together before. 

A diagram of derived equivalence relations.
Trained RelationsDerived Relations
A = B (given A, select B) B = A (given B, select A) 
A = C (given A, select C) C = A (given C, select A) 
B = C (given B, select C)
C = B (given B, select C)
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