 Even when we replace the inconsistent Basic Law V with the powerful Hume’s Principle, Frege’s work still leaves two questions unanswered: (1) How do we know that numbers exist?, and (2) How do we precisely specify which objects they are? The first question arises because Hume’s Principle doesn’t seem to be a purely analytic truth of logic; if neither Hume’s Principle nor the existential claim that numbers exist is analytically true, by what faculty do we come to know (the truth of) the existential claim? The second question arises because the Julius Caesar problem applies to Hume’s Principle; without a solution to that problem, Frege can’t claim to have precisely specified which objects the numbers are, so as to delineate them within the domain of all logical and non-logical objects? So questions about the very existence and identity of numbers still affect Frege’s work.