What is a logical “long arrow”?

In Logical Thinking Process (LTP) parlance a long arrow is a “leap of logic” or the omission of one or several cause-and-effect steps that connect a cause to an effect.

In the Logical Thinking Process, a cause is linked to its effect by an arrow. The arrow’s tail is connected to the cause and the tip points to the effect. Hence the reference to the arrow.

In the picture, the cause is at the bottom and the effect is on the top.

Ellipses are logical “AND” connectors. Arrows going through an ellipse read “if…. AND if… then…”

Some may refer to the AND connectors as “bananas” but I would not encourage this.

The “long arrow” skips several “if…then…” or cause-and-effect relationships, also considered as logical steps.

Leaps of logic are to be avoided for the sake of logical soundness. Long arrows are likely to confuse an audience as the listeners or readers cannot naturally link the things together.

True listeners may have difficulties to follow the speaker’s logic or readers might get confused, lost or perplexed while reading a text.

Many people speak or write long arrows because the sequence of causes-and-effects is clear in their mind. They don’t pay enough attention how their thinking can be received by someone not knowing about the subject, the unspoken assumptions or the implicit and skipped relationships.

The more logical steps or cause-and-effect links skipped between a specific cause and an certain effect and the longer the arrow.

In the scrutinization process of logic trees, long arrows are generally considered as “mistakes” or at least “logical improvement points”. Long arrows are not officially considered as Categories of Legitimate Reservations (CLR), but could in fact. Long arrows should be broken into more detailed steps in order to get the faulty tree more sound and robust from the Logical Thinking Process point of view.

About the author, Chris HOHMANN

About the author, Chris HOHMANN

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Industry 4.0 promoter’s flaw of logic and Categories of Legitimate Reservation

Promoters of any solution or change agents of are usually in love with the object of their promotion. Love is said to be blind and oblivious of any negative aspect of the loved thing. That is why so often promoters of change highlight all the benefits of the change, regardless of any Undesirable side Effects for the people they try to convince to change. They usually also complain about resistance to change when skeptic listeners do not show enthusiasm for the promoted brilliant solution.

But promoters may also forget to adapt their communication to the targeted audience. They may know well their subject and cut corners, leaving the audience with doubts and questions about a logic they can’t completely follow.

In this post I will address:

For that I pick two sentences from an Industry 4.0 promoter’s blog post which does not seem logically sound.

The statement

“Brave companies who adopt new approaches (e.i. Industry 4.0) and adapt how they manufacture and run their businesses will be rewarded with success. While those who drag their feet and avoid risk will get left behind.”

There is no further explanation in the blog to backup these two sentences.

The first sentence, rephrased in logical cause-and-relationship reads: “if companies adopt new approaches (e.i. Industry 4.0) AND if companies adapt how they manufacture and run their businesses THEN companies will be rewarded by success.”

The AND here suggest that the two conditions must be fulfilled simultaneously in order to cause the success.

Necessity-based logic versus sufficiency-based logic

The statement is made with sufficiency-based logic, because it suggest that the adoption of new approaches and adaptation are sufficient to cause the companies to be successful.

Sufficiency is base on “if…then” or cause-and-effect relationship.

If the article was about listing all the conditions necessary to make the companies successful, it would have been necessity-based logic. In this case the relationship would have been: “in order to… the companies must…”.

The logical structure that Logical Thinking Process aware people “see” in the statement is either a Communication Current Reality Tree or a Future Reality Tree.

To learn more about necessity-based logic versus sufficiency-based logic, check my post: Goal Tree Chronicles – Enablers vs.triggers

Reservations

1 – Clarity

The first reservation about this statement is a clarity reservation about the meaning of “success”. What is “success”? How can we measure it? How can we know whether the company is “successful” or not?

Unfortunately there is no way to ask the author for clarification. One could understand that deployment of industry 4.0 technologie(s) together with adaptation of the work procedures is a success. A project manager in charge of such a program would surely agree about this definition of success.

The CEO and the board are probably looking for more than having the latest technologies installed, even it probably helps the image of the company to have a nice techno-showcase. In their view, success is more likely increase of sales, profit and market share. Let’s assume this one is meant by “success”.

We could go on and challenge the meaning of “new approaches”, “industry 4.0” or even what is exactly meant by “how they manufacture”. In case someone really need clarification, the question could be raised, otherwise let’s not go for unnecessary wordsmithing.

2 – Entity existence

An entity in the Logical Thinking Process parlance is a statement that conveys an idea. An entity is also the logical box holding the statement in the various logic trees.

An entity must only convey a single idea, therefore when building a logic tree on this statement we must have 3 entities combining their effects to produce one outcome: the success of the companies (read figure from bottom to top).

3 – Causality existence

Causality existence is checking the existence of the causal connection between entities.

“if companies adopt Industry 4.0 AND if companies adapt how they manufacture AND if companies adapt how they run their businesses THEN companies will be rewarded by success.”

Does it exist? One example would be enough to demonstrate it exists, but, in absence of hard evidence, the likeliness of the causality existence must be evaluated. We assume it’s ok.

4 – Cause sufficiency

Are the 3 proposed causes sufficient alone to produce the effect “successful companies”? I would intuitively say no. There is a lot more necessary. We are here facing a typical “long arrow” which is a leap of logic from some causes directly to the outcome, ignoring intermediate steps and conditions in between.

This is typical when people discuss matters they know well because they don’t have to detail everything, they know what is missing and is implicit. But here it is about promoting something which is quite new (in 2017), relatively complicated and not very well-known by laymen. Effort should be paid to elaborate on the message in order to favor buy-in.

5 – Additional cause

This check is looking for other causes that can independently produce the same effect. There are indeed other ways for companies to be successful than going for industry 4.0, but the statement suggests there is only one, as it warns: “those who drag their feet and avoid risk will get left behind.”

Conclusion

With these two last reservations we uncover the major flaw in the statement:

  • The proposed “logic” is not likely to be enough to produce the expected effect
  • There are other ways to be successful

From the audience point of view, the argumentation is weak. This is more likely to raise suspicion about the promoter’s expertise and trustworthiness, thus distrust and reservation than frantic enthusiasm about the proposed idea.

Such a weak argumentation can have devastating effects, making decision makers to turn their backs, refusing a good plan or a clever strategy which was ill-prepared and badly presented.

The Categories of Legitimate Reservation are 8 formal “rules” or “tests” used to check the logical soundness of a reasoning or an argumentation. They are part of the Logical Thinking Process corpus.


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Why would I learn to think (logically)?

Most people are convinced of their ability to think logically and don’t see the point of getting a specific training like the Logical Thinking Process  training course.

Indeed, in some extend most of the people have an innate basic logical thinking way, otherwise our world would be pretty weird.

Yet it is also true that many people are unable to structure properly their thoughts and express their ideas with clarity and in a straightforward brilliant logical way. Even so it makes sense in their mind, what they try to share doesn’t always make sense to others.

How many times did you listen to someone and ask (yourself) “so what?” once the speech is over.

The importance of clarity

The first important thing to achieve is to express ideas with clarity. Clarity means that the idea, purpose, objective or goal is expressed in an unambiguous way, letting no room for misunderstanding or interpretation.

Clarity is always important. As an employee to be correctly understood by managers and colleagues and as a leader to be correctly understood by the team members or subordinates.

Imagine the consequences of an ill-stated objective. Stakeholders may misunderstand it and do something unexpected but aligned onto the objective they understood. Such kind of situation can be costly in terms of motivation – the stakeholders are feeling bad about their misunderstanding, resenting their leader for his/her poor objective statement and disappointed for all the energy they put into some action, for nothing – and in terms of resources and time wasted.

Ambiguous or ill-stated objectives are also welcome for some people to smartly escape some chores or refrain to commit to something they don’t agree, don’t want or don’t like. Room for interpretation is also room for later arguing. Something not desirable when some objectives are non negotiable.

Conversely, the inability to clearly explain what has been achieved, why and how it contributes to achieving some objective may make a team member look as a poor performer even so his/her contribution was significant.

It is frustrating to be a brilliant contributor to some project but unable to explain why and how. It is also frustrating to be unable to “sell” a brilliant idea to colleagues, the boss or customers.

Sound logic

The robustness of a cause-and-effect analysis or demonstration is also important in order to convince readers or listeners about the soundness of the ideas expressed.

According to the principles of adult learning, sense and purpose must be fully understood for adults to commit to something. If the rationale of some project or actions asked is not demonstrated in a clear and sound (robust) way, it will invite opponents to fight against it, making use of all “holes”.

Some undertaking presented in a fluffy way with many unanswered questions remaining open is scary. Opponents will have it easy to reinforce the doubts and fears of the audience by pointing out the inconsistencies and “holes” in the reasoning.

Lack of confidence is very likely to turn away customers, stakeholders or decision makers from the best of proposal. Instinctive risk aversion is probably more common than innate logical thinking.

Using “long arrows”

Many people with good logical thinking abilities will mentally cut corners and use “long arrows” in their demonstration. A long arrow is a metaphor for skipping several cause-and-effect steps linking an effect to a cause or the other way round.

While the link exists, it does not appear clearly. The audience cannot understand the rational link between an effect and a cause and may lose trust or interest about the presentation, get stuck because of this logical “hole”, doubt about the reality and validity of the ideas expressed, and so on.

Long arrow example

I have to make a presentation in building n°10, 15 minutes walking from here. It rains. I need an umbrella. I must borrow one.

“Could I borrow your umbrella because I must present my report?” I ask a colleague.

My colleague may ask herself what the link is between presenting a report and her umbrella. She will probably lend me the umbrella anyway, still not understanding what for. I did not feel necessary to explain the whole sequence of cause-and-effect, perfectly clear and logical in my head but strange when expressed that way.

Now imagine asking for commitment to something very important and serious that does not make sense because of long arrows.

Mastering logical thinking is also about avoiding long arrows and being able to detect them. I guess someone trapped with long arrows would be grateful for the help by someone seeing the shortcut and helping to reformulate the idea in a more robust and clearer way.

Mitigate the risk of “negative branches”

Negative branch is another metaphor used in the Logical Thinking Process, were logical relationships are depicting in logical trees. A negative branch is an undesirable effect or chain of cause-and-effect that “grows” from an action or decision taken.

Negative branches are often growing unexpectedly because the action was decided or decision taken without checking the possibility for things to go in an unexpected and undesirable direction.

Some fixes for a problem can result in other problems to arise, sometimes worse than the initial problem that was to be fixed.

Awareness and practice of the Logical Thinking Process hones the ability to “foresee” or at least to prevent negative branches and craft better solutions.

Conclusion

Basic logical thinking is a given and it may appear strange to promote “learning to think logically”. But it is as with many other things supposed to be “common” but aren’t. Common sense for instance is not so common.

Therefore there is a lot of room to improve one’s logical thinking skills.

Once introduced to the Logical Thinking Process, there are daily opportunities to hone one’s scrutinizing abilities. Newspaper, tv news, blog posts, speeches… are not always constructed with sound logic. Fallacious reasoning is easier to debunk, as well as surfacing false assumptions or “insufficient causes” on which some thinking are built upon. Negative outcome can be sensed and hopefully prevented.

Mastering Logical Thinking helps for better analyzing situations, understanding real causes of problem, crafting better solutions and expressing oneself much better.

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