Most successful entrepreneurs work at least 18 hours a day, and no one who works at least 18 hours a day has time for...

varcity64 January 29, 2017

Answer choice A?

Before you read what I just wrote, I typed this whole thing out only to realize I may have answered the question myself. But my main question is regarding the wording of "Anyone who has no time" in answer A. Is the way it is written meant to mean all? Not entirely sure why this answer could be true. When we see the term "anyone", how are we supposed to interpret that? Meaning some, most or all? The way I took it was meaning all. Meaning "all people who have no time for leisure activities work at least 18 hours a day" and drew it out like this: TLA - > not W18H/D It was at this point I realized this was the contrapositive of what I drew in my diagram from the stimulus ("no one who works 18 hours a day has time for leisure activities"): W18H/D - > not TLA Does that allows us to assume A could be true? What if a person sleeps 10 hours/day and works for the other 14? Thanks

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Mehran February 1, 2017

@varcity64 "Anyone" is treated just like "every" or "people who," so it introduces a sufficient condition.

So (A) would be diagrammed as follows:

not TLA ==> W at least 18H/D
W < 18H/D ==> TLA

The stimulus, on the other hand, would be diagrammed as follows:

"No one who works at least 18 hours a day has time for leisure activities."

This is no As are Bs.

W at least 18H/D ==> not TLA
TLA ==> W < 18H/D

So this is NOT the contrapositive of (A). It is negating sufficient and negating necessary (i.e. don't just negate!).

While this is incorrect in a Must Be True question, this is a Cannot Be True question.

To clarify this point, let's use our example from the Sufficient & Necessary lesson:

"All carrots are vegetables."

C ==> V
not V ==> not C

The equivalent of (A) here would be:

not C ==> not V

"If not a carrot, then not a vegetable."

This could be true. What if the item at issue was your phone?

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

HYY May 8, 2020

This is what I wanted to hear about answer(A). Wow! Thanks.