 This pair of sentences is demonstrably consistent in Hilbert’s sense. But on the interpretation of Frege suggested here, this consistency (in Hilbert’s sense) does not ensure that the thoughts expressed by these sentences under their ordinary interpretation form a consistent collection. If, for example, Frege understands the relation ’between’ as susceptible to conceptual analysis, in accordance with which the first thought can be seen to logically entail the negation of the second, then the pair of thoughts are inconsistent with one another in the straightforward sense of logically entailing a contradiction. 