Quantifiers Questions - - Question 7

Roses always provide a stunning display of color, but only those flowers that smell sweet are worth growing in a gard...

cglee July 26, 2020

R---some--- ~S

I am confused as to how they got "smell sweet" and "no scent" to be like terms. The some statement in the last statement said "R---some--- ~S" Is that an assumption that ~SS can be interpreted as ~S?

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Skylar July 27, 2020

@cglee, happy to help!

In order to keep terms consistent, we can write "no scent" as the variable "not smell sweet." Think about this. If something has no scent, does it have a sweet scent? No. Based on this logic, we know that something with no scent cannot smell sweet. Therefore, we can categorize no scent as not smelling sweet.

However, be careful not to assume that this goes the other way around. We cannot conclude something that does not smell sweet has no scent. For example, this something may have a bad scent.

Does that make sense? Please let us know if you have any other questions!

cglee July 29, 2020

Wow, that makes perfect sense Skylar. I don't know what I was thinking. How can it smell sweet if it has no scent.