  Using this insight, Frege took true statements like ‘There are eight planets’ and ‘There are two authors of Principia Mathematica’ to be “second level” claims about the concepts planet and author of Principia Mathematica, respectively. In the second case, the second level claim asserts that the first-level concept being an author of Principia Mathematica falls under the second-level concept being a concept under which two objects fall. This sounds circular, since it looks like we have analyzed