In Scepticism and Naturalism Strawson characterized his position as a form of naturalism. Not even in that work, however, did he subscribe to any standardly recognized types of naturalism (ontological, epistemological, meta-philosophical). Strawson’s naturalism, as far as it goes, is anthropological instead of scientific, and descriptive rather than revisionary. It insists that central features of our common-sense conceptual scheme are part of our human nature and therefore immune to naturalization by either reduction or elimination. My contribution explores both strengths and weaknesses of this position. It discusses the ‘relativizing move’ that insists on the legitimacy of both the ‘participant’ or ‘involved’ perspective of everyday life vs. the ‘objective’ or ‘detached’ of science as well as Strawson’s ‘relaxed realism’. It ends with a defence of the general idea of anthropological naturalism. In spite of problems concerning details of execution, this approach is more sober, realistic and illuminating than mainstream naturalisms.