Against Quantitative Primitivism

The problem of quantity is the problem of identifying what about the physical world explains why it can be so well represented with mathematical entities. I introduce “quantitative primitivism,” the dominant position in the literature, which offers only a partial solution to the problem of quantity. I argue that a reductive account of quantitativeness provides a full solution to the problem and describe two reductive accounts in the literature. I discuss some of the unique metaphysical consequences of reductive accounts of quantity, including a novel dissolution to the long-standing absolutist–comparativist debate.