  A very different response would be to adopt a Platonist account of concepts, according to which they are not mental representations at all, but rather abstract objects akin to the objects of mathematical inquiry. The concept of law, then, would be the abstract object one must grasp in order to think about law. Accordingly, it is this abstract object—the concept of law—that philosophers care about and aim to investigate using the method of conceptual analysis (cf. Bealer 1998). Nonetheless, this view of concepts faces familiar objections. For one, an account is needed of how we can have access to the concept of law, conceived of as an independently existing abstract object. Moreover, even if we can access it, a puzzle arises about how different people who all determinately grasp the concept of law could possibly end up disagreeing about its nature (Sarch 2010, 468–73). Finally, while it might be plausible that a priori disciplines like mathematics and logic  aim to investigate abstract objects (see the entry on  platonism in the philosophy of mathematics),  it is not clear that the investigation of a social phenomenon like the law, which is heavily dependent on human beliefs, attitudes and behavior, can be understood analogously. While mathematicians might be investigating the nature of abstract objects like numbers or sets, it seems more doubtful that legal philosophers are investigating the abstract object law.