Question:
Convert the following statement into First Order Logic:
"For every \(s\), if \(s\) is a student, then \(s\) is a player"
Convert the following statement into First Order Logic:
"For every \(s\), if \(s\) is a student, then \(s\) is a player"
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In First Order Logic, the universal quantifier \(\forall\) is used to state that the following applies to all elements in a given set.
Updated On: Sep 25, 2025
- \(s \, \text{is player}(s) \, \text{student}(s)\)
- \(\forall s \, \text{player}(s) \, \text{student}(s)\)
- \(s \, \text{is student}(s) \, \text{player}(s)\)
- \(\forall s \, \text{student}(s) \, \text{player}(s)\)
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Verified By Collegedunia
The Correct Option is D
Solution and Explanation
In first-order logic, the statement can be written as:
\[
\forall s (\text{student}(s) \rightarrow \text{player}(s))
\]
This means "For every \(s\), if \(s\) is a student, then \(s\) is a player."
Final Answer:
\[
\boxed{D \, \forall s \, \text{student}(s) \, \text{player}(s)}
\]
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