This essay offers paths for scholars influenced by the critical social sciences and theoretical humanities to contribute to the construction of concepts and digital practices of data that will allow data to better align with their approaches to scholarly inquiry. In particular, it explores how geographic information might be refashioned, rereading it from simplified theoretical positions drawn from interpretative inquiry, process-relational thought, and new materialisms. Geographic information has largely called forth self-sufficient entities that have intensive properties, are indexed by location in an absolute space, and are known objectively through a geographic gaze. By contrast, this article suggests ways geographic information may be reimagined to constitute spaces as relational, matter as vibrant, and/or knowledge as situated. If all claims are seen as interpretative, the boundaries between what were previously considered the roles for reader, researcher, data structures, observer, and observed may also need to be reordered, with implications for the ways that we interface with data. Although such paths can be difficult to travel, they hold promise for extending the reach of interpretative and (non-positivist) empirical practice as well as favorably altering the terms on which interpretative scholars can participate in debates around, and practices of, data today.