 Wittgenstein stresses that he is trying to ‘warn’ us against this ‘aspect’—the idea that the foregoing proposition about fractions “introduces us to the mysteries of the mathematical world”, which exists somewhere as a completed totality, awaiting our prodding and our discoveries. The fact that we regard mathematical propositions as being about mathematical objects and mathematical investigation “as the exploration of these objects” is “already mathematical alchemy”, claims Wittgenstein (RFM V, §16), since 