 It is fair to say that Dedekind enabled the trend of arithmetization to culminate in the doctrine of logicism. The recommendation (or statement of the methodological maxim) that one ought to avoid all matters geometric when providing a foundation for real analysis goes back at least to Dedekind, Stetigkeit und Irrationale Zahlen (1872). This work was published late. Its breakthrough idea had come fourteen years earlier, in  1858.[6]  At pages 3–4 Dedekind writes in an engaging and revelatory way of his earlier struggle in the autumn of 1858 to furnish “eine wirklich wissenschaftliche Begründung der Arithmetik” (a really scientific foundation for Arithmetic [i.e., real  analysis]).[7] 