Abstract
An apparent tension persists in Peirce's philosophy between the purpose-driven nature of inquiry, destined to achieve truth in the long run, on the one hand, and, on the other hand, the fact that inquiry depends upon musement (or the free play of ideas), which is purposeless. If there is no purpose in musement then it would appear there is no rational self-control in musement, and thus, irrationality lies at the center of Peirce's theory of inquiry. I argue that in musement the individual sets off without a purpose, thereby opening herself to noticing novelty, and that noticing is itself a form of creative thought insofar as it allows the individual to discover new wonders and anomalies. Not all creativity in inquiry aims at solving problems or formulating new hypotheses. Some creative thinking is about noticing what is already there or possibly there. Such noticing in musement is purposeless, and yet the individual retains some rational self-control within this thought process. She controls the entry into the activity, and, prior to musing, she controls the adoption of the ideals which are inevitably employed in musement. This adoption of some ideals rather than others can explain why some people notice things while others do not.