 Amongst the Laws of Nature learnt by way of inductive reasoning are the laws of geometry and arithmetic. It is worth emphasizing that in no case does Mill think that the ultimately inductive nature of the sciences—whether physical, mathematical, or social—precludes the deductive organization and practice of the science (Ryan 1987: 3–20). Manifestly, we do work through many inferences in deductive terms—and this is nowhere clearer than in the case of mathematics. Mill’s claim is simply that any premise or non-verbal inference can only be as strong as the inductive justification that supports it.