But in what sense do mathematical objects depend on our linguistic practices and psychological processes? In the sense that the sheer postulation of certain principles is enough for mathematical practice: ‘A mathematical subject with its accompanying posits can be created ex nihilo by simply writing down a set of axioms’ (Azzouni 2004, p. 127). The only additional constraint that sheer postulation has to meet, in practice, is that mathematicians should find the resulting mathematics interesting. That is, the consequences that follow from the relevant mathematical principles shouldn't be obvious, and they should be computationally tractable. Thus, given that sheer postulation is (basically) enough in mathematics, mathematical objects have no epistemic burdens. Such objects, or ‘posits’, are called ultrathin (Azzouni 2004, p. 127).