everybody loves somebody in symbolic logic

493 Views Asked by At

Can I rewrite the sentence "everybody loves somebody" as follows:

∀x(Person(x) -> ∃y(Person(y) ^ Loves(x,y)))

1

There are 1 best solutions below

6
On

Sure, let $Lxy$ be the predicate 'x loves y':

$(\forall x)(\exists y)(Lxy)$