Intentionality is the concept of how mental states and their content relate to each other. Although intentionality was re-introduced to philosophy by the psychologist Franz Brentano, psychology has not empirically researched the concept. The present study reviews the history of intentionality, as it relates to psychology, and argues that people recognize their own and other people's intentionality through a logic-desire-belief structure. The logic-desire-belief structure was tested by having participants in an experiment read situations containing the structure and an intentional state. The results demonstrate that people are sensitive to the logic-desire-belief structure, and the structure may allow people to recognize intentionality.