Daily Drills 5 - Section 5 - Question 3

Identify what you can properly conclude from the given premises:P: not H → not MP: M–some–BC: ?

dormon12 May 16, 2017

Contrapositive

I understand the correct answer is B -some-H. However, is not the contrapositive Not H-some-Not B. If so, would that make that answer choice correct as well. Im trying to determine how to know when the question is testing for the contrapositive as opposed to something else.

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Mehran May 21, 2017

@dormon12 Quantifier statements do not have contrapositives.

They are reversible but the variables remain the same.

The only thing that changes is "most" becomes "some."

Hope that helps! For a more in-depth discussion of these concepts, please watch our video lessons on Sufficient & Necessary Conditions and Quantifiers.

cslatter October 3, 2017

Hello, I have the same question as the person above. I just watched sufficient and necessary yesterday evening and don't recall this being covered. I thought the only one that didn't have a contrapositive is "if and only if". Can you tell me is there is a rule that was explained that would include "some"?

Zane November 25, 2023

It's in the quantifiers lesson, below the S and N.