# Math Help - FOL question

1. ## FOL question

Could somebody just tell me how to write :

James is wearing a grey scarf?

in first order logic?

1) if $P(x)$ means " $x$ is james" and $Q(x)$ means " $x$ wears a grey scarf", it would be:
$\forall x P(x) \Rightarrow Q(x)$
2) If $P(x)$ means " $x$ is james", $Q(x,y)$ means " $x$ wears $y$", $S(x)$ means " $x$ is a scarf" and $G(x)$ means " $x$ is grey", then it would be
$\forall x P(x) \Rightarrow \exists y ( S(y) \wedge G(y) \wedge Q(x,y) )$