Metaphysical Constraints, Primitivism, and Reduction

The argument from absence of analysis (AAA) infers primitivism about some x from the absence of a reductive analysis of x. But philosophers use the word ‘primitive’ to mean many distinct things. I argue that there is a robust sense of ‘primitive’ present in the metaphysics literature that cannot be inferred via the AAA. Successfully demonstrating robust primitivism about some x requires showing two things at once: that a reduction of x is not possible and that an explanatorily deep characterization of x is not available. In order to secure this second explanatory claim, the AAA must wrongly assume that reductive analysis is our only source of explanatory characterization. I argue that this is false by offering a distinct way of providing explanatory characterizations backed by suitably understood metaphysical constraints. While there remains a minimal sense of ‘primitive’ inferable via the AAA, this sense is exhausted by the denial of reduction. With minimal primitivism as its target, the AAA is uninteresting.