Question

Convert the following statement into First Order Logic: "For every \(s\), if \(s\) is a student, then \(s\) is a player"

• A. \(s \, \text{is player}(s) \, \text{student}(s)\)
• B. \(\forall s \, \text{player}(s) \, \text{student}(s)\)
• C. \(s \, \text{is student}(s) \, \text{player}(s)\)
• D. \(\forall s \, \text{student}(s) \, \text{player}(s)\)

Hint:

In First Order Logic, the universal quantifier \(\forall\) is used to state that the following applies to all elements in a given set.

Answer 1

The Correct Option is D

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: \[ \boxed{D \, \forall s \, \text{student}(s) \, \text{player}(s)} \]