 Frege does not claim to be able to give specific geometric analyses which contradict particular consistency-claims of Hilbert’s, and there is no evidence that he takes any of those claims to be false. That he might well have had some such analyses in mind is hinted at in a letter to Hilbert in which he claims that in his own unfinished investigations into the foundations of geometry, he was able to “make do with fewer primitive terms”, which presumably means that he takes some of the terms treated as primitive by Hilbert to be susceptible of analysis via others (see the letter to Hilbert of December 27, 1899 in Frege 1980: 34). Any such analysis would reveal relations of logical dependence (from Frege’s point of view) where Hilbert would find independence. 