The differences between universal and existential quantifiers in logic are really interesting!

1. Universal Quantifier ($\forall$):

   • This means "for all" or "for every."
   • It tells us that a statement is true for every single member of a group.
   • For example, if we say $\forall x (P(x))$, it means "For all $x$, $P(x)$ is true."

2. Existential Quantifier ($\exists$):

   • This means "there exists" or "there is at least one."
   • It says that at least one member of the group makes the statement true.
   • For example, if we say $\exists x (P(x))$, it means "There exists at least one $x$ such that $P(x)$ is true."

So, to sum it up, the universal quantifier includes everyone in the group, while the existential quantifier only needs one example to show that something is true!