 The replacement of senses by intensions paves the way to an alternative approach to iterated intensionality: generalizing Kripke’s (1963) semantics of modality, Montague (1970b, 73) accounted for clausal embedding in terms of propositional operators whose extension, like that of their argument, depends on a given point in logical space. As it turns out, this so-called ‘neighborhood semantics’ of clausal embedding does without reference to a sense hierarchy even in iterated indirect environments (ibid., 76), which is why Montague used it as the basis for his general compositional analysis of natural language. Montague (ibid., 75f.) still presented his approach as being in line with Frege’s, thereby emphasizing the commonalities in the overall architecture of semantic theory, which he identified as ‘Frege’s functionality principle’: