1. Introduction . In learning to solve problems, we practice in the schools, and then in life, the real problems present themselves. What is needed is not only considerable skill, but an entire framework for solving problems within our respective domains. For instance, the problems of saving a country or the entire world are not simple and require a comprehensive program. We learn how by example. The leadership of Abraham Lincoln and Winston Churchill represents two of the most significant case studies in crisis management, in fact, major wars, in modern history. More than any other factor, it was their problem-solving abilities that won their wars. While separated by nearly a century and vastly different cultural milieus, the mid-nineteenth-century American frontier and the mid-twentieth-century British Empire, or more plainly, the peasant and the aristocrat, both men faced existential threats to their respective nations. Their success was not merely a product of iron will,...
1. Introduction Two characters, working in widely differing areas with wildly diverse techniques, do have touch points of commonality. Let’s take a look at a study in contrast. Problem-solving is rarely a linear march from a question to an answer; rather, it is a complex negotiation between the mental models we construct and the chaotic reality they intend to govern. In the landscape of contemporary achievement, success is often the byproduct of how effectively an individual navigates the "Stopping Problem," the mathematical and psychological point at which one decides a solution is "good enough" and retreats into the certainty of the status quo. For most, this retreat manifests as "idleness," a cessation of rigorous iteration, or "idolatry," the sterile worship of one's past methods and successes. To understand the mechanics of world-altering success, one must analyze the divergent archetypes of the "Reductionist" and the ...