Of the many ways of thinking about problem-solving methods, the linear/non-linear 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.
Non-linear 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. Non-linear thinkers are more likely to accept — and seek — explanations for how the system itself drives the system.
But widely accepted explanations of non-linear thinking take different views of non-linear thinking. In these explanations, non-linear 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 non-linear
thinking describe it as
essentially piecewise linearof non-linear thinking is that it is essentially piecewise linear. It models non-linear 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 non-linear 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 non-linear thinker's results. This is what I call linear thinking bias. After a number of such experiences with linear thinking bias, some non-linear 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, non-linear thinkers. Don't ask me how I figured that out. Top Next Issue
Are you fed up with tense, explosive meetings? Are you or a colleague the target of a bully? Destructive conflict can ruin organizations. But if we believe that all conflict is destructive, and that we can somehow eliminate conflict, or that conflict is an enemy of productivity, then we're in conflict with Conflict itself. Read 101 Tips for Managing Conflict to learn how to make peace with conflict and make it an organizational asset. Order Now!
Your comments are welcomeWould you like to see your comments posted here? rbrenlljrnkViZIqeSizMner@ChacWpouXPdYTIPnWzlAoCanyon.comSend me your comments by email, or by Web form.
About Point Lookout
Thank you for reading this article. I hope you enjoyed it and found it useful, and that you'll consider recommending it to a friend.
Support Point Lookout by joining the Friends of Point Lookout, as an individual or as an organization.
Do you face a complex interpersonal situation? Send it in, anonymously if you like, and I'll give you my two cents.
More articles on Problem Solving and Creativity:
- The Solving Lamp Is Lit
- We waste a lot of time finding solutions before we understand the problem. And sometimes, we start solving
before everyone is even aware of the problem. Here's how to prevent premature solution.
- Exploiting Failed Ideas
- When the approach you've been using fails, how do you go about devising Plan B? Or Plan C? Here are
some ways to find new approaches by examining failures.
- Is the Question "How?" or "Whether?"
- In group decision-making, tension sometimes develops between those who favor commitment to the opportunity
at hand, and those who repeatedly ask, "If we do that, how will we do it?" Why does this happen?
- Decisions: How Looping Back Helps
- Group decision-making often proceeds through a series of steps including forming a list of options,
researching them, ranking them, reducing them, and finally selecting one. Often, this linear approach
yields disappointing results. Why?
- Clearing Conflict Fog
- At times, groups can become so embroiled in destructive conflict that conventional conflict resolution
becomes ineffective. How does this happen? What can we do about it?
Forthcoming issues of Point Lookout
- Coming December 13: Reframing Revision Resentment: II
- When we're required to revise something previously produced — prose, designs, software, whatever, we sometimes experience frustration with those requiring the revisions. Here are some alternative perspectives that can be helpful. Available here and by RSS on December 13.
- And on December 20: Conceptual Mondegreens
- When we disagree about abstractions, such as a problem solution, or a competitor's strategy, the cause can often be misunderstanding the abstraction. That misunderstanding can be a conceptual mondegreen. Available here and by RSS on December 20.
I offer email and telephone coaching at both corporate and individual rates. Contact Rick for details at rbrennwQvoKvMYvAHhuVZner@ChacRvHXCUuNulyzqJSnoCanyon.com or (617) 491-6289, or toll-free in the continental US at (866) 378-5470.
Get the ebook!
Past issues of Point Lookout are available in six ebooks:
- Get 2001-2 in Geese Don't Land on Twigs (PDF, USD 11.95)
- Get 2003-4 in Why Dogs Wag (PDF, USD 11.95)
- Get 2005-6 in Loopy Things We Do (PDF, USD 11.95)
- Get 2007-8 in Things We Believe That Maybe Aren't So True (PDF, USD 11.95)
- Get 2009-10 in The Questions Not Asked (PDF, USD 11.95)
- Get all of the first twelve years (2001-2012) in The Collected Issues of Point Lookout (PDF, USD 28.99)
Are you a writer, editor or publisher on deadline? Are you looking for an article that will get people talking and get compliments flying your way? You can have 500 words in your inbox in one hour. License any article from this Web site. More info
- Person-to-Person Communications: Models and Applications
- When we talk, listen, send or read emails,
read or write memos, or when we leave or listen to voice mail messages, we're communicating person-to-person.
And whenever we communicate person-to-person, we risk being misunderstood, offending others, feeling
hurt, and being confused. There are so many ways for things to go wrong that we could never learn how
to fix all the problems. A more effective approach avoids problems altogether, or at least minimizes
their occurrence. In this very interactive program we'll explain — and show you how to use —
a model of inter-personal communications that can help you stay out of the ditch. We'll place particular
emphasis on a very tricky situation — expressing your personal power. In those moments of intense
involvement, when we're most likely to slip, you'll have a new tool to use to keep things constructive.
Read more about this program. Here's a date for this
- Embassy Suites by Hilton Jacksonville Baymeadows, 9300 Baymeadows
Road, Jacksonville, Florida, 32256, USA: January 15, 2018,
Monthly Meeting, Northeast Florida Chapter of the Project Management Institute. Register now.
- Embassy Suites by Hilton Jacksonville Baymeadows, 9300 Baymeadows Road, Jacksonville, Florida, 32256, USA: January 15, 2018, Monthly Meeting, Northeast Florida Chapter of the Project Management Institute. Register now.
- Ten Project Management Fallacies: The Power of Avoiding Hazards
- Most of what we know about managing projects is useful and effective, but some of what we know "just ain't so." Identifying the fallacies of project management reduces risk and enhances your ability to complete projects successfully. Even more important, avoiding these traps can demonstrate the value and power of the project management profession in general, and your personal capabilities in particular. In this program we describe ten of these beliefs. There are almost certainly many more, but these ten are a good start. We'll explore the situations where these fallacies are most likely to expose projects to risk, and suggest techniques for avoiding them. Read more about this program. Here's a date for this program:
- The Power Affect: How We Express Our Personal Power
- Many people who possess real organizational power have a characteristic demeanor. It's the way they project their presence. I call this the power affect. Some people — call them power pretenders — adopt the power affect well before they attain significant organizational power. Unfortunately for their colleagues, and for their organizations, power pretenders can attain organizational power out of proportion to their merit or abilities. Understanding the power affect is therefore important for anyone who aims to attain power, or anyone who works with power pretenders. Read more about this program.