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By Robert A. Vella

One of my irritating frustrations in life is constantly facing the great limitations of human cognition.  It is irritating because we humans have big egos and like to see ourselves as the most intelligent creatures who have ever existed.  This might be true, but it is probably false considering the sheer vastness of space and time.  Regardless, intelligence isn’t the issue here.  What I’m talking about is how we think and formulate conclusions.  And, in that sense, many of us might be embarrassed to learn just how limited we really are.

In the classic Star Trek film “The Wrath of Khan,” Spock suggests to Captain Kirk that their opponent – played by actor Ricardo Montalban – is highly intelligent, but constrained by two-dimensional thinking.

What was Spock referring to?

From Walter McIntyre:  Two Dimensional Thinking

A two-dimensional thinker sees the world as a polarized place. Who you are and what you believe becomes categorical. It is either one way or the other. These individuals can see facts, but truth eludes them because the facts are generally considered without context.

The problem with two dimensional thinkers is that they skew, or misinterpret, facts in order force them into a two dimensional framework. As a result, they frequently have “the facts”, but do not know, or are misrepresenting, the truth. This is how marketers sell their ideas, products or services. They build context around a set of facts so that the listener’s interpretation is guided to the desired conclusion.

From Seth Slater M.F.A.:  Launching Into Multi-Dimensional Thinking

As earth-bound creatures, human thinking reflects our essentially two-dimensional environment.  Most of us travel through life thinking like a car driver at an intersection whose only choices are left or right turns when it comes time to change course.  To open new vistas of possibility, a third dimension may need to be added to our psychic landscape.

That, it turns out, is a relatively tall order.

We humans can and do think multi-dimensionally whenever we navigate through three-dimensional space, but doing so typically requires a great deal of technological support.  Think airplane pilot or submarine captain.  Think elaborate panels of dials and switches.  Think support crew and years of training.

Furthermore, three-dimensional thinking can be achieved through the systematic application of logic.  The following examples might help illustrate the base levels of cognition:

One-dimensional:  I’m hungry.  There’s a banana.  I will eat it.

Two-dimensional:  I’m hungry.  There’s a banana and an apple.  I prefer the apple.

Three-dimensional:  I’m hungry.  There’s a banana and an apple.  I can make a fruit salad.

The one-dimensional example can be seen a primal impulse, the two-dimensional example as a restricted choice, and the three-dimensional example as a creative option.  The latter requires abstract thinking to consider possibilities which are not readily apparent.  The process is essentially mathematical like solving an algebraic problem having multiple possible solutions:

If A*B=C, and C=8 and both A and B are positive integers, then either A=1 and B=8, or A=2 and B=4, or A=4 and B=2, or A=8 and B=1.

In public discourses over topical issues, the two-dimensional limitation is often self-imposed.  We gravitate towards questions pitting diametrically opposed ideas against each other;  and, we are inclined towards simple, definitive, and broadly constructed answers.  In politics, the dichotomy is between conservatism and liberalism.  In economics, it is capitalism versus communism.  In religion, it is theism versus atheism.  In race, it is white versus black.  We align ourselves along these delineations, proclaim the righteousness of our choices, and demonize the contrasting side.  What we are doing by this, consciously or subconsciously, is attempting to control the narrative of the question by precluding any complexity and ambiguity in the answer.  The middle ground must be seized or sacrificed.  To the conservative, any deviation from right-wing ideological purity must be excised.  To the communist, any degree of private ownership is unacceptable.  To religious supporters and detractors alike, the minds of the uncommitted must be swayed.  To racial adversaries, tolerance of the other is an act of betrayal.

But, the clarity of such absolutism is typically delusion.  It is arbitrary and purposeful.  Little of our world can be so clearly distinguished unless empirically verifiable through science.  And, there’s another reason why we tend to limit ourselves to two-dimensional thinking.  It’s easy to be lazy.  Exhaustive, analytical thinking requires great time and effort – an expense we are predisposed to avoid unless we are deeply interested in the topic at hand.

Closed mindedness is analogous to wearing mental blinders, and being open minded is a trait to be admired, not chastised.  For two-dimensional thinkers, the strength of their subjective opinions are often directly proportional to their objective doubt.  The political liberal is usually caught off-guard by conservative opponents because she misperceives the negative aspects of human nature.  The capitalist rails against egalitarianism because he refuses to acknowledge the tragic costs of greed.  The Christian fundamentalist and atheist endlessly and pointlessly argue over the existence of God because neither can accept what they do not empirically know about the cosmos.  The white supremacist and black reactionary are locked in an ongoing death struggle because they both cannot see their shared humanity.

Be like Spock, and not like Khan.  Figure out how to make a fruit salad.

13 thoughts on “Two-dimensional thinking, and the limitations of human cognition

  1. Interesting topic, Robert. Right now, there are too many two-dimensional thinkers walking the aisles on Capitol Hill.

    Three-dimensional thinking demands tolerance, acceptance, inclusion, equality, and more.

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  2. Lately I’ve been wondering if the basis of the thought process isn’t two dimensional? A sort of zeros and ones where we break things down into survival vs. non survival.
    To complicate things even further is how reason is compromised by factors like sectarianism and the binary oppositional model.

    Liked by 1 person

    • Yes, that all fits. We do have the capacity for more abstract, multi-dimensional cognition, however. We just need to be aware of our mental laziness, and strive to think with more complexity. Although, motivating ourselves to do so in this disturbing era of cultural polarization and sectarianism is definitely another matter.

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      • Intellectual laziness is the key. We’ve been conditioned to 1) always have an opinion and 2) formulate an opinion quickly. We’re so often in a hurry, it has infected our thinking process. This leads to extremist views which are easily accessed because they aren’t inhibited by emotion, they’re actually fed by emotion. We’re also conditioned toward over-indulgence. It goes along with the Capitalist lifestyle on different levels. It limits creative thinking which allows a suicidal system to be continued despite numerous warnings of danger and feeds the economic-system-as-social-system mentality of “I want, I want more, I want now.” You know what I mean?

        I’ve had many conversations with people over the years and been surprised at their insistence that there are only two options to a particular issue when I often saw a multitude. I’ve also noticed that many people think in linear fashion. They start from point A and plod along to point B and don’t seem to be able to veer in a different direction. It seems like a weakness. From that point of view alone you’d think people would try something different. I guess it’s difficult for some people.

        How much is self-imposed through laziness and how much is hard-wired into the brain? It’s an interesting discussion that can be difficult to discuss with some people.

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  3. I would actually use the dimensionality concept differently.

    Categorical thinking is actually *zero*-dimensional thinking: it is conceiving everything as a set of isolated points – the categories, with nothing in between. A set of isolated points, mathematically, has dimension zero. Maybe between two or more well-defined, absolute options on each issue.

    One-dimensional thinking is the next step up. It sees two positions and then interpolates between them. For each issue, there is a continuum of positions between the opposing camps.

    Two-dimensional, and higher (n-)dimensional thinking add *orthogonal axes* to these continua. E.g. we talk of capitalism versus communism, referring to economic systems – what is *wholly neither*? That would be the next axis. And you would have a whole plane of possibilities formed by these two axes.

    Generally I think the leap from zero- to one-dimensional thinking is not so difficult. It is easy to find compromises of varying degrees between two camps. It is the leap from one- to two- and higher-dimensional that is the truly difficult part – in fact, very difficult indeed: finding that wholly alter to both camps and any compromise between them, an entirely new angle from which to approach the problem. And it’s also why I consider the destruction of deep cultural diversity a very regrettable thing … it’s the closest that *humankind* gets to having multiple dimensional thinking as a collective, to compensate for the very difficult surmounting process from one- to two-dimensional and higher for the individual.

    And the thing is, since it *does* require so much effort, that actually means we *cannot* have such thinking on everything, at least not unless our brains can be augmented or evolve somehow in future generations to make it much easier. We invariably will fall into the lower (one- and zero-)dimensional thinkings, because they need much less effort, and unless you bury yourself in books for literally your whole life, in which case you will not have any time to act upon any of your learning, you won’t be able to get to higher-dimensional thinking on every issue. Which means that in the end you have to choose battles – choose the ones where you can and do want to invest your effort, the ones that speak to you the most, to try to make that leap to the second dimension, to look for new perspectives, especially those “society” doesn’t like. And this also means it is wrongheaded to criticize someone for focusing on one problem but not this other, possibly “bigger” problem (but possibly also more dangerous and difficult to tract one). E.g. “Western feminists” criticized for not paying attention to “worse” problems in the Middle East … yet by doing so ignoring that the Middle East is a vastly different cultural environment, and unless you put a huge amount of devoted work to understanding that environment specifically, thus leaving time for nothing else, no other battle, you not only may be ineffective at doing anything, but even downright harmful. The better thing is to support instead those who are *part* of that culture, in their own attempts to change it, and *not* put so much demand on the outsider for tending to perhaps “lesser” issues that at least they *can do* something about.

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