A Large Dataset of Generalization Patterns in the Number Game

Abstract

We present a dataset with 272,700 two-alternative forced choice responses in a simple numerical task modeled after Tenenbaum’s “number game” experiment [6]. Subjects were shown a set (e.g. {16, 12}) and asked what other numbers were likely to belong to that set (e.g. 1, 5, 2, 98). Their generalization patterns reflect both rule-like (e.g. ‘even numbers,’ ‘powers of two’) and distance-based (e.g. ‘numbers near 50’) generalization. This dataset is available for further analysis of these simple and intuitive inferences, developing of hands-on modeling instruction, and attempts to understand how probability and rules interact in human cognition.