  These developments supply the beginnings of a categorial framework for quantum ‘non- individuality’ which, it is claimed, helps to articulate this notion and, bluntly, make it philosophically respectable (extensive details are given in French and Krause 2006; see also Arenhart 2012; Domenach and Holik 2007; Domenach, Holik and Krause, 2008; Krause 2010). Crucially, within this formal framework, a sense of countability is retained in that collections of quantum entities possess a (kind of) cardinality but not an ordinality, so we can, in effect, say how many objects there are, even though we cannot place them in numerical order.  Critical discussions of both these formal details and of the basis for attributing ‘non-individuality’ to quantum objects can be found in Bueno et. al. 2011 and Sant’ Anna 2019. Much of this criticism has proceeded on the basis of insisting that we do not need to adopt such an apparently radical approach. Thus advocates of ‘weak discernibility’, discussed above, have argued that this notion yields an appropriately naturalist sense of individuality, suitable for quantum physics, whereas Dorato and Morganti (2013) insist, as already noted, that one can retain countability, and individuality, as primitive notions and that this is to be preferred over any shift to non-individuality (for a response to the latter and defence of the above formal framework, see Arenhart and Krause 2014). Jantzen on the other hand, has argued that identity and cardinality are tied together as a ‘matter of meaning’ rather than metaphysics and that, consequently, talk of entities without identity is either meaningless or, in fact, talk about something else altogether (Jantzen 2019). Likewise Bueno has insisted that identity is too fundamental to be given up so readily and suggests that we can infer the non-individuality of quantum particles directly from their indistinguishability with identity itself understood as a ‘useful idealization’ that simplifies our conceptual framework and allows us to predict the behaviour of the relevant objects – in this case quantal entities (Bueno 2014; for responses see Arenhart 2017a and Krause and Arenhart 2019). 