Frege's account of opacity is based on two attractive ideas: every mea
ningful expression has a sense (Sinn) that determines the expression's
semantic value (Bedeutung); and the semantic value of a 'that'-clause
is the thought expressed by its embedded sentence. Considerations of
compositionality led Frege to a more problematic view: inside 'that'-c
lauses, an expression does not have its customary Bedeutung. But contr
ary to initial appearances, compositionality does not entail a familia
r substitutivity principle. And Fregeans can exploit this point in a w
ay that lets them reject Bedeutung-shifting.