 Platonism is dangerously misleading, according to Wittgenstein, because it suggests a picture of pre-existence, predetermination and discovery that is completely at odds with what we find if we actually examine and describe mathematics and mathematical activity. “I should like to be able to describe”, says Wittgenstein (RFM IV, §13), “how it comes about that mathematics appears to us now as the natural history of the domain of numbers, now again as a collection of rules”.