Abstract

Wittgenstein’s ‘ethnological approach’ to the philosophy of mathematics, in particular his discussion of calculation as an experiment and the limits of empiricism in mathematics, is presented against three interrelated backdrops: (1) James’ critique of Spencer’s evolutionary empiricism, specifically regarding necessary truths; (2) the Cambridge Anthropological Expedition to Torres Straits, led by Haddon and Rivers, whose Reports implicitly confuted Spencer; and (3) the subsequent work of Malinowski, especially his supplement to Ogden and Richards’ The Meaning of Meaning, a book sent to Wittgenstein upon its publication in 1923. String figures as mathematics is a main illustrative example.