Daily Drills 1 - Section 1 - Question 2

Select the answer choice that correctly diagrams the following Sufficient & Necessary statement: All Labrador ret...

jadesaevitz May 23, 2016

Logic

I am not understanding this question and why it says not before the BGD. Can you further explain?

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Mehran May 24, 2016

@jadesaevitz of course! Every general principle has a statement that is logically identical to it.

This is referred to as the contrapositive.

In this case, our keyword indicator is "all," which introduces a sufficient condition so this statement can be diagrammed as follows:

L ➡️ BGD

As stated above, however, there is a contrapositive that is identical in meaning.

The contrapositive is creating by (1) reversing and (2) negating the variables.

So the contrapositive here is:

not BGD ➡️ not L

The necessary condition is required for the existence of the sufficient condition so if the necessary condition does not exist, we can conclude with 100% certainty that the sufficient condition does not exist either.

The contrapositive is far more likely to be tested on the LSAT since it is one additional step.

For a more in-depth discussion of these concepts, please watch our video lesson on Sufficient & Necessary conditions.

Hope this helps! Please let us know if you have any other questions.