Of the many ways of thinking about problem-solving methods, the linear/nonlinear model, as widely understood, is perhaps the most linear. Linear thinkers are said to use thought processes dominated by logic and evidence. They follow a step-by-step progression in which the problem solver uses evidence and reason to move logically from starting point to solution. For example, linear approaches to complex problems often use analysis and synthesis. They decompose the larger problem into pieces, find solutions to the pieces, and then recombine the solutions, claiming (or, at least, hoping) that the combination of solutions to the pieces is a solution to the combination of the pieces. Linear thinkers seek basic facts, assumptions, or drivers, and a small set of laws that then predict whole-system behavior.
Nonlinear thinkers are more likely to accept that complex problems aren't susceptible to analysis and synthesis. They're more likely to try to understand the whole, working from multiple starting points. They collect and sort through known patterns, connections, and insights. Then they apply them to find new patterns, connections, and insights. They recognize that the system might not be reducible to a few core elements governed by a few simple rules. Nonlinear thinkers are more likely to accept — and seek — explanations for how the system itself drives the system.
But widely accepted explanations of nonlinear thinking take different views of nonlinear thinking. In these explanations, nonlinear thinkers are said to search for solutions by striking out in various directions, sometimes selected at random or by whim, from multiple starting points. Then, so it is said, they apply logic and evidence to expand from wherever they are to wherever they can go.
A difficulty inherent in this model Some models of nonlinear
thinking describe it as
essentially piecewise linearof nonlinear thinking is that it is essentially piecewise linear. It models nonlinear thinking as a sequence of linear forays into the unknown, from randomly chosen starting points, without necessarily applying to the next part of the exploration any of the knowledge gained from parts previously explored.
When we ask nonlinear thinkers how they found the problem solution they just presented, they might not have a "logical" explanation, especially if they found their solution by other than logical means. Often, the absence of a logical, evidence-based discovery story causes some to doubt or even reject the nonlinear thinker's results. This is what I call linear thinking bias. After a number of such experiences with linear thinking bias, some nonlinear thinkers learn to retroactively invent linear discovery stories, sprinkled with appropriate amounts of evidence and logic, to explain to others how they discovered their results.
When this happens, the truth of their discovery method remains hidden. So, too, does a larger truth: we are all, to varying degrees, nonlinear thinkers. Don't ask me how I figured that out. Top Next Issue
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Related articles
More articles on Problem Solving and Creativity:
- The Shower Effect: Sudden Insights
- Ever have a brilliant insight, a forehead-slapping moment? You think, "Now I get it!" or "Why
didn't I think of this before?" What causes these moments? How can we make them happen sooner?
- Learning
- What have you learned today? What has enriched you, changed your understanding of the world, or given
you a new view of history or the future? Learning something new every day is a worthy goal.
- Group Problem-Solving Tangles
- When teams solve problems together, discussions of proposed solutions usually focus on combinations
of what the solution will do, how much it will cost, how long it will take, and much more. Disentangling
these threads can make discussions much more effective.
- Problem Displacement and Technical Debt
- The term problem displacement describes situations in which solving one problem creates another.
It sometimes leads to incurring technical debt. How? What can we do about it?
- Why Meetings Go Down Rabbit Holes
- When a meeting goes "down the rabbit hole," it has swerved from the planned topic to detail-purgatory,
problem-solving hell, irrelevance, or worse. All participants, not only the Chair, contribute to the
problem. Why does this happen?
See also Problem Solving and Creativity and Problem Solving and Creativity for more related articles.
Forthcoming issues of Point Lookout
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- And on December 18: Subgrouping and Conway's Law
- When task-oriented work groups address complex tasks, they might form subgroups to address subtasks. The structure of the subgroups and the order in which they form depend on the structure of the group's task and the sequencing of the subtasks. Available here and by RSS on December 18.
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