This confusion is why explicitly using logical quantifiers is preferable: `exists x. x` is (isomorphic to) the top type (if there is one), and `forall x. x` is

This confusion is why explicitly using logical quantifiers is preferable: `exists x. x` is (isomorphic to) the top type (if there is one), and `forall x. x` is (isomorphic to) the bottom type (if there is one). Avoid natural language like the plague.