Sufficient & Necessary Questions - - Question 22

Everyone who is a gourmet cook enjoys a wide variety of foods and spices. Since no one who enjoys a wide variety of f...

Ame15 May 4, 2019

Second Sentence Structure

Hi, I am a little confused on the word "since" and have hence structured the second sentence differently. I got the same result, but with the inverse and wanted to know if it was still correct! For the sentence "Since no one who enjoys a wide variety of foods and spices prefers bland foods to all other foods" I took since starting the necessary part of the section and made it Prefers bland foods > does not WFS With the contrapositve being: enjoys WFS > does not PBF The example shows this as well, but the two are reversed. Is this still correct or flawed reasoning? How do I structure "since" sentences? Thank you!

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Ravi May 4, 2019

@Ame15,

Happy to help. The word "since" doesn't introduce sufficient or
necessary premises; rather, the word "since" signals a premise of an
argument.

The sentence in question is "Since no one who enjoys a wide variety of
foods and spices prefers bland foods to all other foods..."

the words "no one" indicates a negation of the necessary condition.

Enjoys a wide variety of foods and spices - >Do not prefer bland foods
to all other foods

The contrapositive of this is

Prefer bland foods to all other foods - >Do not enjoy a wide variety of
foods and spices

Make sure you remember that "since" just introduces a premise. It does
not introduce the sufficient or necessary condition of a conditional
statement.

Does this answer your question? Let us know if you have any other questions!

Ame15 May 5, 2019

Yes, it does! Thank you.