 Armstrong’s grand design is to sweep away the difficulties that attend the admission of negative facts by positing a special kind of general fact that also serves as the truth-maker for general truths. Russell admitted general facts too but he acknowledged that, “I do not profess to know what the right analysis of general facts is” (Russell 1918–9: 236–7). But Armstrong has gone further and assigned to general facts the following structure: a general, or totality fact consists in a binary relation T of totality that holds between an aggregate on the one hand and a property on the other when the aggregate comprises all the items that fall under the property in question (Armstrong 1989b: 93–4, 1997: 199–200, 2004: 72–5).