
Srinivasa Ramanujan (1887-1920) was an Indian mathematical genius, self-taught, who exploded onto the mathematical scene in 1913. He became a research scholar at Cambridge in 1914, where he was mentored by and collaborated with G.H. Hardy. He received a Bachelor of Science degree, later renamed PhD, in 1916. His genius was so extraordinary that he repeatedly encountered linear thinking bias.
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
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 welcome
Would you like to see your comments posted here? rbrenaXXxGCwVgbgLZDuRner@ChacDjdMAATPdDNJnrSwoCanyon.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.
This article in its entirety was written by a human being. No machine intelligence was involved in any way.
Point Lookout is a free weekly email newsletter. Browse the archive of past issues. Subscribe for free.
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.
Related articles
More articles on Problem Solving and Creativity:
Coping with Problems
- How we cope with problems is a choice. When we choose our coping style, we help determine our ability
to address the problems we face. Of eight styles we can identify, only one is universally constructive,
and we rarely use it.
Annoyance to Asset
- Unsolicited contributions to the work of one element of a large organization, by people from another,
are often annoying to the recipients. Sometimes the contributors then feel rebuffed, insulted, or frustrated.
Toxic conflict can follow. We probably can't halt the flow of contributions, but we can convert it from
a liability to a valuable asset.
New Ideas: Judging
- When groups work together to solve problems, they eventually evaluate the ideas they generate. They
sometimes reject perfectly good ideas, while accepting some really boneheaded ones. How can we judge
new ideas more effectively?
Rationalizing Creativity at Work: II
- Creative thinking at work can be nurtured or encouraged, but not forced or compelled. Leaders who try
to compel creativity because of very real financial and schedule pressures rarely get the results they
seek. Here are examples of tactics people use in mostly-futile attempts to compel creativity.
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?
See also Problem Solving and Creativity for more related articles.
Forthcoming issues of Point Lookout
Coming June 25: Meandering Monologues in Meetings: Engagement
- In a meeting, a meandering monologue has taken over when someone speaks at length with no sign of coming to a clear point, and little of evident value. This behavior reduces engagement on the part of other attendees, thereby limiting the meeting's value to the organization. Available here and by RSS on June 25.
And on July 2: The True Costs of Contractors
- Among the more commonly cited reasons for hiring contractors instead of direct employees is cost savings. But are these savings real? Direct compensation, including perks and benefits, might favor the contractor arrangement, but indirect costs tell another story. Available here and by RSS on July 2.
Coaching services
I offer email and telephone coaching at both corporate and individual rates. Contact Rick for details at rbrenaXXxGCwVgbgLZDuRner@ChacDjdMAATPdDNJnrSwoCanyon.com or (650) 787-6475, 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, )
- Get 2003-4 in Why Dogs Wag (PDF, )
- Get 2005-6 in Loopy Things We Do (PDF, )
- Get 2007-8 in Things We Believe That Maybe Aren't So True (PDF, )
- Get 2009-10 in The Questions Not Asked (PDF, )
- Get all of the first twelve years (2001-2012) in The Collected Issues of Point Lookout (PDF, )
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 500-1000 words in your inbox in one hour. License any article from this Web site. More info
Follow Rick
Recommend this issue to a friend
Send an email message to a friend
rbrenaXXxGCwVgbgLZDuRner@ChacDjdMAATPdDNJnrSwoCanyon.comSend a message to Rick
A Tip A Day feed
Point Lookout weekly feed
