Quantifiers Questions - - Question 24

Only a minority of those who engage in political action do so out of a sense of social justice. Therefore, some peopl...

Lucas August 2, 2019

I had to guess between A &D and got lucky

Where I got Lost was with the "minority" meaning "most? When I think of minority, I think of some? Can someone please explain

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Irina August 2, 2019

@Lucas,

Great question. I think your initial interpretation is correct, minority is less than half, thus it is less than most and is best expressed as some. We can diagram the first sentence as:

PA some-> SJ

but notice that the natural language of this sentence suggests that if only a minority engage out of a sense of social justice, the majority must engage for other reasons, thus we can also diagram the first sentence as:

PA most -> ~ SJ

The invalid conclusion that follows can be diagrammed as:

SJ some -> ~PA

The argument in the answer choice (A) follows the exact same structure:

S most -> ~PP
PP some -> ~S

Does this help?
Let me know if have any further questions.


NicoleBL December 8, 2023

Great Explanation!
A video would be helpful too.