Introduction. When dealing with ideas, patterns, intuition, and brainstorming, we need operations or rules not unlike those of arithmetic. The goal is not proof, a finished device, or a fait accompli , but rather a foundation for further investigation and study. In some cases, these operations may yield a proposition, that is, something capable of being proved. In this sense, they form a practical logic of intuition. The article concludes with a few select examples from a variety of venues. Setting. We are working with a given idea, problem, or project, or simply just thinking. Our aim is to discover pathways, patterns, or conceptual connections that may be useful. The following operations describe ways in which ideas and patterns can be generated, transformed, or refined. These also work toward understanding the imagination. Yet, this framework is distinguished from formal logic and proof. We are tempted to call them as “soft logic” because while nothing is proved, reasons...
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