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Let S(x) be the predicate "x is a student" F(x) be "x is a faculty member" And A(x,y) the predicate "x has asked y a question" where the domain consists of all people associated with your school. Use quantifier to express each of these statements.

e) There is a faculty member who has never been asked a question by a student.

I want to ask few questions:-

As "a" is denoted by "there exists" So why "for all" is used in kenneth rosen answer, when it is clearly said that never been asked a question by a student not any student.

What is wrong in my answer and how kenneth rosen answer is correct. Please tellhttps://csedoubts.gateoverflow.in/?qa=blob&qa_blobid=16705169279570597075

in Mathematical Logic by (13 points) | 24 views

3 Answers

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by (1.2k points)
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Sir my question is different. I am not getting this part.
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Let S(x) be the predicate “x is a student,” F(x) the predicate “x is a faculty member,” and A(x, y) the predicate “x has asked y a question,” where the domain consists of all people associated with your school. Use quantifiers to express each of these statements.

://gateoverflow.in/223337/kenneth-rosen-edition-6th-exercise-1-question-11f-page-no-59?merged=304774
+1
what is the approach of solving this question?

://gateoverflow.in/304645/kenneth-rosen-edition-6th-exercise-1-3-question-23-page-no-48
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by (1.2k points)
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I am now clear with this doubt. Actually english is ambiguous so correct interpretation will lead to correct answer.

For this statement the correct interpretation would be-

There is a faculty member to whom none of the student have ever asked a question. Due to this kenneth rosen answer is correct.
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