December 2006 LSAT - Section 1 - Question 17

Industrial adviser: If two new processes under consideration are not substantially different in cost, then the less ...

JordanS October 30 at 03:16AM

Second Principle Contrapositive

Can someone please explain the process of getting the contrapositive of the second principle's conditionals? I do not 100% understand why "Damaging and retooling expensive" stays the same (as explained in the answer anticipation).

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Nate-Stein 06:21PM

@JordanS, thank you for your question,

A contrapositive is logically identical to the original statement. So, in the rare case that we have nested conditional (as here, If A, then (if B, then C)), we can take the contrapositive of the nested one only and the statement will be still logically identical (If A, then (if NOT C, then NOT B))

Here, that turns into the answer explanation given, where the first part of the conditional you mentioned (Damaging AND Retooling expensive) can stay the same.

Hope that helps and happy studying,
Nate, LSATMax Instructor