Quantifiers Questions - - Question 2

Nearly all mail that is correctly addressed arrives at its destination within two business days of being sent. In fac...

Dalaal February 28, 2020

negating a most statement

We talked about reversibility of most/some/all statements, and the negation of some statements by 'not all'. However, what about negating most statements? For example, if we want to negate the first sentence in question 2, how would we diagram it?

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Skylar March 1, 2020

@Dalaal, happy to help.

The first sentence states:
"Nearly all mail that is correctly addressed arrives at its destination within two business days of being sent."
This can be diagrammed as:
MCA (mail correctly addressed) - most - AW2BD (arrives within 2 business days)

To negate this, I would personally simply change "arrives" to "does not arrive."

The new sentence would be:
"Nearly all mail that is correctly addressed does not arrive at its destination within two business days of being sent."
The new diagram would be:
MCA (mail correctly addressed) - most - NOT AW2BD (does not arrive within 2 business days)

Does that make sense? Please let us know if you have any other questions and best of luck with your studies!

Dalaal March 2, 2020

Thank you @Skylar. This makes total sense. However, the reason I asked this question was because I was trying to correlate the negation of the first sentence to the correct answer choice D and see if I had diagrammed it would it be the same as negating the first sentence. From your explanation, it seems that the negation of the first sentence doesn't directly lead to answer choice D, am I mistaken?