Statements involving metalinguistic selfreference ("This paper has six sections.")are prevalent in many domains.Can current large language models (LLMs) handle such language?In this paper, we present "I am a Strange Dataset", a new dataset for addressing this question.There are two subtasks: generation and verification.In generation, models continue statements like "The penultimate word in this sentence is" (where a correct continuation is "is").In verification, models judge the truth of statements like "The penultimate word in this sentence is sentence."(false).We also provide minimally different metalinguistic non-self-reference examples to complement the main dataset by probing for whether models can handle metalinguistic language at all.The dataset is hand-crafted by experts and validated by non-expert annotators.We test a variety of open-source LLMs (7B to 70B parameters) as well as closed-source LLMs through APIs.All models perform close to chance across both subtasks and even on the non-self-referential metalinguistic control data, though we find some steady improvement with model scale.GPT 4 is the only model to consistently do significantly better than chance, and it is still only in the 60% range, while our untrained human annotators score well in the 89-93% range.The dataset and evaluation toolkit are available at https://github.com/ TristanThrush/i-am-a-strange-dataset.