Frege's puzzle is a fundamental challenge for accounts of mental and linguistic representation. This piece surveys a family of recent approaches to the puzzle that posit representational relations. I identify the central commitments of relational approaches and present several arguments for them. I also distinguish two kinds of relationism—semantic relationism and formal relationism—corresponding to two conceptions of representational relations. I briefly discuss the consequences of relational approaches for foundational questions about propositional attitudes, intentional explanation, and compositionality.

De jure coreference in a discourse is typically understood as explicit coreference that speakers are required to recognize in order to count as having correctly understood the discourse. For example, in an utterance of the sentence ‘Tom went to the market because he needed soy milk’, the two underlined terms are typically coreferential in a way that appreciating their coreference is required to fully understand the utterance. Often, de jure coreference is understood as an equivalence relation, so in particular it (...) is thought of as a transitive relation. However, Pinillos (Philos Stud 154(2):301–324, 2011) provides examples that apparently challenge the transitivity of de jure coreference. In this paper, I argue for two claims. First, while it is inconclusive whether the relevant terms in Pinillos’s examples satisfy his third condition, it is much clearer that they fail to satisfy his first two conditions. Given that Pinillos’s conditions capture important characteristics of de jure coreference, his examples do not successfully show the non-transitivity of de jure coreference. Second, I present an alternative account of his examples, one that shows which representation the anaphoric pronoun in an example of the sort that he presents is de jure coreferential with. (shrink)