 Bolzano’s analysis of existential claims such as ‘There are prime numbers greater than 100’ is also noteworthy. What we mean in such cases, he says, is that the idea [prime number greater than 100] has objectuality (§137). This analysis shows its worth in the case of true negative existentials such as ‘Round squares do not exist’, allowing him to solve the associated riddle of non-being. For this sentence says the same as the more distinct ‘[Round square] has lack-of-objectuality’ according to Bolzano, and, in this case, we have an objectual subject-idea (its object is the idea [round square]) and ascribe to its object a property that it has (namely, objectlessness) (§138).