For a given predicate P(x), you might believe that the statements VxP(x) or 3xP(x) are either true or false. How would you decide if you were correct in each case? You have four choices: you an example of an element n in the domain for which P(n) is true or for which P(n) if false, or you could argue that no matter what n is, P(n) is true or is false. could give (a) What would you need to do to prove VxP(x) is true? (b) What would you need to do to prove VxP(x) is false? (c) What would you need to do to prove 3xP(x) is true? (d) What would you need to do to prove 3xP(x) is false?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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For a given predicate P(x), you might believe that the statements
VxP(x) or 3xP(x) are either true or false. How would you decide if
you were correct in each case? You have four choices: you could give
an example of an element n in the domain for which P(n) is true or
for which P(n) if false, or you could argue that no matter what n is,
P(n) is true or is false.
(a) What would you need to do to prove VxP(x) is true?
(b) What would you need to do to prove VxP(x) is false?
(c) What would you need to do to prove 3xP(x) is true?
(d) What would
you
need to do to prove 3xP(x) is false?
Transcribed Image Text:For a given predicate P(x), you might believe that the statements VxP(x) or 3xP(x) are either true or false. How would you decide if you were correct in each case? You have four choices: you could give an example of an element n in the domain for which P(n) is true or for which P(n) if false, or you could argue that no matter what n is, P(n) is true or is false. (a) What would you need to do to prove VxP(x) is true? (b) What would you need to do to prove VxP(x) is false? (c) What would you need to do to prove 3xP(x) is true? (d) What would you need to do to prove 3xP(x) is false?
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