 There are two mainstream arguments for platonism. The first, which goes back to Plato, is an argument for the existence of properties and relations only; this is the One Over Many argument. The second is also present in some sense in the works of Plato (at least on some readings of those works), but its first modern formulation, and certainly the first clear formulation, was given by Frege (1884, 1892, 1893–1903, 1919); I will call this the singular term argument, and unlike the One Over Many, it can be used in connection with all the different kinds of abstract objects, i.e., numbers, properties, propositions, and so on. In the present section, we will discuss the One Over Many argument, and in the next section, we will discuss the singular term argument.