 For Frege, things are radically different. Frege takes it that the sentences we use in mathematics are important only because of the nonlinguistic propositions (or, as he puts it, the “thoughts”) they express. Mathematicians working in French and in German are working on the same subject because, as Frege sees it, their sentences express the same thoughts. Each thought is about a determinate subject-matter, and says something true or false about that  subject-matter.[7]  Thoughts are also on this view the things that logically imply or contradict one another, the things that are true or false, and the things that together constitute mathematical theories. Hence, in Frege’s view, thoughts, rather than sentences, are the items about which the questions of consistency and independence arise. 