petersironwood

Essays on America: The Game

You Bet Your Life!

Tools of Thought: Symmetry

07 Wednesday Jan 2026

Posted by petersironwood in management, psychology, Uncategorized

≈ Leave a comment

Tags

beauty, Business, Design, HCI, human factors, Human-Computer Interaction, poetry, politics, problem_solving, symmetry, truth, UX, Web design, writing

Symmetry

(Original, free-hand drawing by Zoe Colier).

There are many varieties of symmetry. Symmetry exists rampantly in nature and symmetry is also incorporated into many human designs. In this short essay, I want to remind people of several varieties of symmetry and then show how symmetry may also be used as a tool of thought to help solve problems by simplifying the space of possibilities that must be considered.

Symmetry is a concept with far broader application than cutting out paper snowflakes or choosing a nice looking Christmas Tree, Menorah or other Holiday decoration. It is fundamental in logic, mathematics, physics, chemistry, biology, and even in social science.

Symmetry exists at many different scales as well. Planets are generally roughly spherical and their orbits are roughly circular.

The human body, along with most other animals, exhibits rough bilateral symmetry in external appearance. If you examine your own fingerprints or the pattern of your moles, for instance, you will see that one side of your body looks slightly different from a mirror image. If, like me, you are a righty who play tennis, you will find the forearm muscles on your right arm are slightly larger than those on the left. What is remarkable to me is not that there are slight variations between left and right but just how slight those variations are. And, we are not alone. Fish, insects, flatworms, roundworms, snakes, turtles, lizards, horses, dogs, cats, apes, and humans are all roughly bilaterally symmetrical in appearance. I say “in appearance” because our internal arrangement of organs is not at all symmetrical.

External Appearance and Internal Organs

In general, it seems to me that most animals possess more complete or “perfect” bilateral symmetry than do most plants. I suspect that this is because animals generally move through a physical environment. Since we can move around, the environmental forces are generally symmetrical and so our ability to react to those environmental forces is also symmetrical. A tree, on the other hand, may have a genetic “blueprint” to be bilaterally or (more likely) radially symmetrical, but it may be subject to strong asymmetrical forces such as wind, a water source, or sunlight versus shade.

Our designed objects are also most often (at least) bilaterally symmetrical, and particularly for those objects which must interact and move through the physical world. Cars, boats, motorcycles, busses, trains, trucks, bikes, skis, surfboards, roller skates, ice skates, snowshoes and tennis shoes all tend to be bilaterally symmetrical. On the inside, however, again just like us, there are often some irregularities. The arrangement of controls of the car, for instance, are asymmetrical. (Each control in itself often does show symmetry. In some cases, this makes it easier to use, especially without looking. I suspect that the symmetry may often be for aesthetic reasons, for ease of manufacturing, for ease of maintenance or replacement or some combination.) The asymmetry of arrangement “works” because the arrangement of displays and controls does not interact with the natural world the way that the car body and wheels do. The controls are designed to interact with a human being. There are also rough conventions for where controls are laid out, how they operate, and what each type looks like. Asymmetry of arrangement is also evident under the hood. However, some of the components such as the engine, the battery, the radiator have symmetry within them. The radiator, which arguably has the most interaction with the outside world, is symmetrically placed though its plumbing is not.

Photo by Pixabay on Pexels.com

In the design of User Interaction and Experience, an argument can be made for certain kinds of symmetry. For example, in the Mac editor Pages, which I am using to write this, if the B for bold button background turns blue when bolding is turned on, I expect the background will turn back the way it was (white) when bolding is turned back off. I also expect that italics and underlining will behave the same way, especially because all three are in the same toolbar.

Where possible, it also generally makes sense, I believe, to design so that the functionality of a system is symmetrical. This isn’t always possible. Some actions are necessarily irreversible. If you don’t believe me, ask anyone who has toddlers or who has pets. In the real world, if you shoot someone dead, you cannot “unshoot” them. Unlike a computer system who asks, “Do you really want to delete all your files?” before doing so, guns do not ask that. If you are designing what can be done with a toy robot however, if you can make it go forward, you want to make it so it can go back as well. If it can turn right 90 degrees, you would like to enable it to turn left 90 degrees. Saying, “Oh, yes, but don’t you see, you can, in effect, make it turn left 90 degrees by making it turn right 90 degrees three times?!” does not cut it, IMHO.

Typically, you not only want the functionality to be symmetrical, you also want the control functions and appearances to mirror the symmetry of the functionality. For example, if you can issue the command: “MOVE ROBOT FORWARD THREE PACES” you want the symmetrical function to be evoked this way: “MOVE ROBOT BACKWARD THREE PACES” and not, “THREE PACES BACKWARD FOR ROBOT MOVE.” If you decide to give auditory feedback for the first command that says, “ROBOT MOVING FORWARD THREE PACES” you do not want the reverse command to provide feedback that says, “ROBOT THREE PACES BACKWARD MOVING.” (Oh, by the way, if you cannot provide symmetrical functionality, please do not pretend to do so with a facade of symmetrical looking commands that actually behave asymmetrically!)

Photo by Matan Segev on Pexels.com

A lack of symmetry (or consistency) in the functionality, command structure, or visual appearance often arises because of a lack of communication within the development team. If different functions of the robot are to be implemented by different people, then it’s important that those various people use an agreed upon style guide or Pattern Language or that they communicate frequently. Of course, this is not the only cause of asymmetry. Even if your team communicates really well, they can’t design an effective gun with an “unkill” function.

There are, of course, various types of symmetry. Bilateral (mirror) symmetry is what the external appearance of our bodies has. There is also translational symmetry, where the same shape is repeated along a line. The string ABCCBA shows bilateral symmetry while ABCABC exhibits translational symmetry. Most human factors people now agree that hot water faucets (usually on the left) and cold water faucets (usually on the right) should both be turned off by turning to the right and turned on by turning to the left (translational symmetry) as opposed to having the faucet on the right turn off to the right and the left faucet turn off to the left. But you will definitely experience both types.

In both music and poetry, at least in the culture I am most familiar with, translational symmetry is more common than mirror symmetry. It does sometimes happen that musical composers experiment with playing a tune backwards or even with the staff turned upside down. But this is far less common than repeating a theme or melody. Similarly, a rhyme scheme like ABCABC is much more common than is ABCCBA. {In this notation, ABCABC means that the first line rhymes with the fourth line, the second line rhymes with the fifth line and the third line rhymes with the sixth line.}

black and brown millipede on a green and brown branch

Photo by Pixabay on Pexels.com

In biology, we also find translational symmetry or something close to it. The segments of a tape worm, the segments of the body of a millipede or centipede, the small legs of a lobster, and even our own vertebrae and ribs show translational symmetry. In social structures as well, we find both mirror symmetry and translational symmetry. For instance, the Golden Rule says to do unto others as you would have them do unto you. In addition, as it happens, if we are nicer to other people, then, generally speaking, they are also nicer to us. This is not always true, however. Some people simply take advantage and view all of life as a zero sum game. Whatever you gain, they lose and vice versa. This is a very limited, inaccurate, and self-defeating attitude in most social situations. Most social situations, are, of course, much more complicated. Generally speaking, there are a great many situations that both you and your “opponent” or even your “enemy” would agree are good and a great many others that both of you would agree are bad. If you are playing tennis or golf outdoors, for instance, you may be fiercely competitive but both of you would probably find a game that brings out the best play is better for both of you. Both of you would probably also agree that being rained out is a bad outcome.

men in black and red cade hats and military uniform

Photo by Pixabay on Pexels.com

In the military and in many industrial settings, there is a great deal of translational symmetry. The “ideal” set-up is to have many groups at each of many levels and each group is meant to be as similar as possible to all the other groups at that level. The marching that military groups learn is both symbolic of this translational symmetry and practice in behaving as a unit composed of identical parts. Whether or not this is the best way to run a military is debatable. To me, it’s undeniable that this management style has been imported into a huge number of organizations where it is definitely not the best way to organize.

The last thing to note is that symmetry also pops up in design. There is often a whole series of information exchanges from people who have quite different areas of expertise. These exchanges can result in mutual learning, solutions that work, and often patents, and occasionally, some really cool, transcendent, game-changing designs. In my experience, it is much better to have a design process based on symmetrical relationships founded in mutual respect than to have a design process based on having someone in a hierarchical power relationship make decisions that are to be implemented by an identical set of “underlings.”

Photo by Egor Kamelev on Pexels.com

The Takeaway

Symmetry is everywhere. There are many forms. If you start looking for symmetry, you will find examples in nature, in mathematics, poetry, art, music, machine design, the military and even in design problems and design processes. Thinking quite consciously about the types of symmetry that exist in a problem space and what could or should exist in that problem space, can lead to novel solutions.

——————————————-

Author Page on Amazon.

The Walkabout Diaries

Local Symmetries

Alternating Repetition

The First Ring of Empathy

Donnie Takes a Blue Ribbon for Spelling

Travels with Sadie

It was in his Nature

A Cat’s a cat

A Suddenly Springing Something

Hai-Cat-Ku

Hai-Ku-Dog-Ku

The Dance of Billions

What About the Butter Dish?

Non-Linearity

04 Sunday Jan 2026

Posted by petersironwood in America, management, psychology, Uncategorized

≈ Leave a comment

Tags

AI, environment, equilibrium, feedback loops, life, ping pong, politics, research, science, sports, story, systems thinking, table tennis, testing, truth, writing

Non-linearity

A Chessboard Full of Rice

According to myth, the Emperor’s wise adviser once did him a great favor. So grateful was the Emperor that he begged his wise advisor to take any gift she might like from the vast treasures of gold or jewels, any lands or gardens, any of the Emperor’s many male children to be her companion. However, the advisor answered as follows: “Thank you for your generosity, oh mighty Emperor. I have no need of great material wealth. My needs and wants are simple. I do get hungry and thirsty, of course, as do we all, and sometimes my household runs short of rice. You see this fine chessboard?”

Photo by Pixabay on Pexels.com

“Oh, yes, my wise counselor, it is indeed finely made of gold and silver and I would gladly give you twenty such!”

“Thank you again for your generosity, but I only wish for a some grains of rice. Give me one grain on this space and tomorrow, two grains on this space and the next day, four grains on this space. Each day for 64 days, double the number of grains of rice you gave me the day before. At the end of the 64 days, I will ask for no more.”

The Emperor looked puzzled. “Surely, you must have something more valuable than rice! Name it!”

“No, Sire, that is all I desire. Just the doubled rice will do quite nicely.”

“Well, it shall be so!” And thus the Emperor told his staff that they were to provide a grain of rice for the first day, two grains of rice for the next day and to double the amount each day until all 64 days had passed. At first, it seemed such a pathetic gift for such a great favor.

Even after 8 days, the wise counselor only received 128 grains of rice – not even a bowlful.

Readers familiar with exponential growth realize that on the 64th day, the Emperor has promised to deliver 2**63 grains of rice. This is not only more rice than the Emperor had at his disposal. It is more grains of rice than exist in all the kingdoms of earth. To be exact, the last payment is meant to be 9,223,372,036,854,775,808 grains of rice while the total is one less than 2**64. To put the matter scientifically — it’s a lot of rice! Much more than exists in the world.

How would you like the story to end? A wise Emperor, to my mind, would thank the counselor after a couple weeks and say, “I see, oh wise Counselor, that you used my gift to give me another gift to enhance my wisdom. For I now understand that what seemed at first an easy thing to do is actually quite hard. Doubling soon undoes even the richest king. I will keep this in mind when I think about interest rates and population growth.”

A crummy Emperor, on the other hand, might say, “I offer you a gift and you see fit to embarrass me by making me agree to an impossible task? Boil her in oil!”

The Lily Pad Pond Puzzle.

Beside my house is a pond. In this pond, a lily pad began to grow. Every day, it doubled in size. On day 20, it completely covered the surface of the pond. The surface of the pond is 400 square feet. How many days did it take to cover half of the pond?

red and green lily pads focus photography

Photo by Skitterphoto on Pexels.com

At first glance, you might think this problem is insoluble because you don’t know how big the lily pad was initially. In fact, you don’t even need to know how large the pond is. It will cover half the pond on day 19.

The Ping Pong Table Ping Pong Player Population

When I began at IBM Research in 1973, I soon discovered that a fair number of researchers were avid table tennis players. At lunch time, somewhere between six and twenty researchers would show up to play. There were two tables and some small amount of room for spectators to stand on the edges of the two ping-pong rooms and watch. Our rule was that if a person won, they would stay at the table and a new challenger would play. However, if you won three times in a row, you had to sit down regardless. I didn’t go over every lunch time, but I went over quite a few times over the course of my first ten years there and there was invariably someone to play with. Sometimes, I had a longer wait time than others, but it was never too long a wait.

Then, because management wanted to use one of the two ping-pong rooms for other purposes, they repurposed one of the rooms. Now, there was only one ping pong table. In the two ping-pong table case, remember, I never had to wait too long nor did I ever go there and have no-one to play. As I said, the number of players varied between somewhere around six to twenty. What is your prediction about how many players showed up when there was only one ping pong table?

Here’s what happened. The first day after this change happened, I went over and about fifteen people showed up. I, like everyone else, waited a long time for a game. Our “official” lunch hour was actually 42 minutes and the building was a five minute walk away. So, if you had to wait a half hour for your chance to play, it really wasn’t that much fun. In addition, there were some more subtle effects. All the players were good, but there some substantial differences in skill level. People tried to arrange it so that they played someone at about the same level. WIth only one table, this was trickier. In addition, when a relatively large number of people showed up, it was too crowded for everyone to see the match without interfering with play. It happened that I was too busy to go for a few days. The next time I showed up, no-one was there. Some of us talked about trying to “organize” the ping pong to insure that enough people showed up but everyone was busy and no-one wanted to take this on. Scheduling researchers is harder than you might think. It was hard for people to make a commitment to show up at noon because a meeting might run over, their manager might give them extra work, etc. The number of people showing up swung wildly for about two weeks and then stabilized.

At zero.

What had been a vibrant community with two ping pong tables did not stay the same size, or shrink to half when we were limited to one table. It went to zero.

Warring Positive Feedback Loops.

We’ve already talked about “positive feedback loops” which are also known as “vicious circles.” Sometimes, there are actually (at least) two positive feedback loops hiding beneath what appears to be a stable system. In the Case of the Missing Ping Pong Table described above, one positive feedback loop was simply that when you went there and had a good time through some combination of watching good matches or playing yourself, you were more likely to go there again. There was also a positive feedback loop that was more of a social nature. The more people who were there, the more likely it was you would find a good or interesting match. It was also more likely to be able to find someone you wanted to have a conversation with although the venue prevented this from being a big part of the adventure. Another way that having more people there increased the chances that more people would be there the next day was that it was kind of exciting to have a larger audience watching, cheering, throwing the ball back when the ball crept under the radiator after pin-balling around for awhile after a decent slam.

At the same time, there were other feedback loops, sometimes of the same factors but in a different range. For instance, beyond the point of having the periphery of the playing field covered one or two deep, additional spectators added only a little excitement and they were more likely to infringe on the needed space around the table. In addition, while the first ring of spectators felt very much a part of the action, the experience for the second ring of spectators was far less engaging. While I mentioned above that more players meant a better change of finding a good match, it also meant that one had to wait longer between matches. The worst case scenario, of course, is that you are the only one who shows up.

Behind Every Abstraction are a Host of Personal Stories.

Yes, you can practice against the wall, and I did this a few times, but it is significantly less fun than a real match. I love to serve, for instance. I have a raft of difficult serves. Just to give you one example, with most set-ups, I can hit the right side of the ball so thinly that I put enough side-spin for the ball to appear as though it isn’t even going to hit the table on the second side, but it does; it curves radically back around to the left. Sometimes people are so surprised that they miss it entirely. Even if they get there, the sidespin often makes them hit it off the table or the curve causes them to mis-hit the ball on their thumb or finger. I can also add a fair amount of top-spin or under-spin as well. Anyway, I didn’t get to do any of that just hitting the ball against the wall. The wall was not perfectly smooth either. So I might hit three of four shots and then the ball would hit a little imperfection in the plaster and careen off to scribble scrabble along the floor and then crawl under the radiator. It’s the kind of annoyance that everyone has experienced. And if someone else is there, you can kind of glance at your friend who nods nearly imperceptibly as you get down on your hands and knees and stretch your fingers into the territory of God-knows what spiders or broken glass and feel around through the grit and dust until you retrieved the ball. And that little glance and that little nod actually make quite a difference. If you’re on your own, it’s not any fun at all. It’s just an annoyance. The only reason I even bother to hit against the wall is to learn to keep focus for extended periods of time. For this, it is good practice and a good challenge. But, if I’m interrupting this to go fish my hand into a pile of dust every couple minutes, it isn’t so likely I’ll come back.

Photo by Pixabay on Pexels.com

These various factors were all in a dynamic balance so long as there were two tables. When the tables went from two to one, however, what had been a stable equilibrium became a very unstable one. Eventually, of course, it did find a new equilibrium point and that was zero. To crawl out of that, one person might show up. But most of the time, they were the only one. So, they would be less likely to come again. Even if two showed up, since no-one could play every day, you might still find yourself wondering whether someone would be there the next time.

Photo by panumas nikhomkhai on Pexels.com

You might have read this whole story and wondered why the hell this building full of Ph.D.’s couldn’t get their act together and arrange some matches. It’s an interesting question and here is my personal opinion. When it came to these brilliant scientists and engineers, they came from every part of the globe and they came in all shapes and sizes. Some were vastly overweight and others were ultra marathoners. But the ones who liked to play table tennis were, by and large, athletic and “hyper” – an impatient lot. What all of us really loved was working to find out the truth. And, these truths that we sought were ones the company that we worked for wanted us to seek. True enough, but by the same token, that meant the truth found and utilized would make people’s lives better in some way in the not too distant future. But working in a corporation also meant doing a bunch of administrivia. So, the ping pong set of people, in particular, wanted to get up from their intense sedentary mental and administrative work and play hard at something completely physical and different. The last thing any of us wanted to do was add more administriva to our lives.

The Takeaway

It’s easy and common to assume implicitly that the systems you deal with are linear.

They often aren’t.

Things can go out of control extremely quickly (into a dominant positive feedback loop) once the dynamic equilibrium is disturbed.

Would the invention of the iPhone have kept the ping pong community going?

Another takeaway: there are two quite distinct ways of analyzing that are going on in the essay above: a fairly abstract one (even if it uses concrete examples like rice and lily pads) and a very concrete and experiential one. In my experience, both of these modes are useful and valid and if taken together give a fuller picture of what’s going on. My experience in this was mainly in human computer interaction but I think it is equally true for many in law, medicine, management and many other fields. What’s your experience?

———————————

Author’s Page on Amazon.

The Update Problem

A Little is Not a Lot

The Jewels of November

The Stopping Rule

Wednesday

We Won the War! We Won the War!

Destroying Government Efficiency

E-Fishiness Comes to Mass General Hospital

Small Things

Tools of Thought: Problem Finding

03 Saturday Jan 2026

Posted by petersironwood in America, management, psychology, Uncategorized

≈ Leave a comment

Tags

AI, Business, creativity, Design, life, marketing, media, mental-health, problem finding, problem solving, research, thinking, thought, truth, writing

Problem Finding

Today (18 December, 2018), I googled “problem solving” and it returned 287,000,000 results. In most of our school life as well as most people’s work life, we are given problems and asked to solve them. “Problem finding” only returned about 2.5 million or fewer than 1/100th as many hits. Solving problems can make processes more efficient and more effective. Solving problems can even save lives. We generally reward people both at school and at work for being good problem solvers. We seldom train people in problem finding. In fact, the reaction of many teachers and many managers when someone finds a problem is to dismiss it as being a non-problem. (FYI, Google now leads with an AI summary rather than links nor does it provide the number of “hits.”)

I can understand this sentiment; the emphasis on solving problems rather than finding them. As a teenager driving my dad’s car home from a date with my girlfriend, somebody beside me tried to make a right turn from the left lane and ran right into my dad’s blue Dodge. I heard what sounded like the voice of God say “NO!!” loud and clear. It was actually louder than the sound of crumpling metal. For a split second, I was in complete denial. Even some moments later, when we pulled over to assess the damage, to me, it looked minor enough to ignore and to just drive off. A more experienced guy from the corner gas station near where this happened said that while it may look minor, it would cost hundreds of dollars to fix and we therefore needed to trade information. I was stunned.

grayscale photo of wrecked car parked outside

Photo by Александр Неплохов on Pexels.com

In many cases, it is a human tendency to want to deny that a problem really exists. If you can get past that tendency however, and embrace problems and indeed, even learn to seek them out, you may be able to create tremendous value for yourself and for those around you. Problem solving can make your bookstore more profitable. Problem finding lets you invent Amazon. Problem solving lets you build a better internal combustion engine. Problem finding leads you to an electric vehicle.

What might you do to discover problems? First, you might take your own negative emotions as a jumping off place. If you find yourself angry, or anxious, or depressed, to the extent that you can trace back what is going on to the initiating event, you may be able to be consider whether that event is unique to you — or, more likely, that event is likely to trigger a negative reaction in many people.

person holding white polaroid land camera

Photo by fotografierende on Pexels.com

If you found that waiting even 48 hours to have your photographs developed and printed — and you thought others might also be impatient to see the results–you might invent Polaroid instant photos. If you found cooking a casserole too time-consuming and messy for your taste, you might invent frozen dinners. If you drove a lot in hot, humid climates, you might be motivated to put air conditioning in cars.

Of course, you do not have to limit yourself to your own misfortune. If you read about someone having a miserable time, you could dig a little deeper and ask yourself how a tragedy might have been prevented or how an accident could have been avoided. You can also look at a change that seems minor and ask yourself what will happen if this change becomes widespread.

For example, if you read in the newspaper that a robot has been invented that harvests tomatoes, you might extrapolate to a more universal situation. What if all crops were harvested by machine? This might make groceries cheaper. But what else would it mean? Tomatoes are rather delicate, after all. You might wonder whether growers using a machine to harvest tomatoes would harvest them early to avoid them being mashed by the machine. You might wonder whether they would even genetically alter the tomatoes so that they were easier to harvest by machine (even if they were no longer as tasty). You might wonder what will happen to the tomato pickers. Politicians may tell you that they will all be retrained for higher paying jobs as machine inventors, machine programmers, and machine maintenance folks. But this makes no sense. If there were an equal number of IT jobs as there used to be tomato pickers but each of the new jobs came with a higher salary, why would the growers use robots? There will be fewer jobs after automation and in some cases, far fewer.

close up of hands holding cherry tomatoes

Photo by rawpixel.com on Pexels.com

You might look at the global temperature trends and ask yourself what will happen if they continue. What will happen if global temperatures continue to rise? What can be done about it? Of course, once people start seriously mapping out the consequences, some people will react by saying, “Oh, it isn’t really happening!.” Why do they think that? Because it’s too scary to contemplate the truth; or too inconvenient to take the necessary actions. There are vested interests in old energy sources who will be happy to help you along in your fantasy of denial. In the short run, it’s often easier to imagine that problems do not exist, or are not that bad, or won’t get worse, or that there is just nothing to be done.

Even most of the people who rail against what most of us think of as sensible gun regulation (requiring a license, showing ID, getting at least some training and testing the would-be gun owner’s knowledge, competency, and eyesight as we do with cars) don’t think that mass shootings of innocent children is a fine thing. They see it as a problem — just one that cannot be solved or one that can only be solved by adding cost and inconvenience to the potential victims. After such a tragedy, they may even send “thoughts and prayers.”

Photo by Specna Arms on Pexels.com

There is a possible “down side” to problem finding. The greedy may decide that they can make a lot of money by generating a solution to a problem that isn’t really a problem and making you believe it is a problem. My favorite, and so far made up, example is “Elbow Cream” for those unsightly skin wrinkles that appear on the back of your elbow when you straighten your arm. But that made up example is not too far off. You eat spicy food and it upsets your stomach? We can fix that! Of course, you could too by simply not eating overly spicy food! But nobody makes money that way. So they will sell you something that supposedly fixes the “problem.” While it might be fantasy to imagine “Elbow Cream” that will “fix” your “unsightly elbow wrinkles” it is not fantasy to imagine that people have been hoodwinked into spending money on “fixing” their faces and bodies.

fullsizeoutput_11b5

Americans spent 16 billion dollars on cosmetic plastic surgery in 2017. There are 50 countries who each have a lower GDP than that. The beauty industry in the USA overall was supposedly around $445 billion in 2017. That’s more than the GDP of each of 151 countries! Both figures are also less than the federal government spends on reducing climate change. Or cancer research.

Do you see that as a problem? I do.

——————————————————

Author Page on Amazon.

A Day at the HR Department

Essays on America: The Game

One of the most enjoyable aspects of Science Fiction as a genre is that it often shows us problems that might occur in the future. In some cases, it suggests ways to prevent those problems and in some cases, it suggests how these future problems might be dealt with.

Turing’s Nightmares, for instance, comprises 23 short stories that explore the ethics and implications of AI. http://tinyurl.com/hz6dg2d

Dream Planet examines, among other things, the extrapolation of global warming and a radical attempt to stem it. https://www.barnesandnoble.com/w/dream-planet-david-thomas/1148566558

FaceGook

The Ides of February

Putin’s Favorite DOG-E

Silent Screams of Dead Men’s Dreams

Namble Mamble Jamble

May You Live in Interesting Times

Plastics!

The Last Gleam of Twilight

The “Not-See” Party

An Open Sore from Hell

Fraught Framing: The Virulent “Versus” Virus

29 Monday Dec 2025

Posted by petersironwood in America, apocalypse, creativity, driverless cars, management, psychology

≈ Leave a comment

Tags

Climate change, creativity, Democracy, Design, environment, framing, history, innovation, IQ, life, peace, politics, problem formulation, problem solving, school, technology, testing, thinking, TRIZ, truth, USA, war

Fraught Framing: The Virulent “Versus” Virus

Like most of us, I spent a lot of time in grades K through 12 solving problems that others set for me. These problems were to be solved by applying prescribed methods. In math class, for example, we were given long division problems and we solved them by doing — you guessed it — long division. We were given history questions and asked who discovered [sic] America and we had to answer “Christopher Columbus” because that’s what the book said and that’s what the teacher had said.

Even today, as of this writing, when I google “problem solving” I get 332,000,000 results. When I google “problem formulation” I only get 1,430,000 results — less than 1%. (“Problem Framing,” which is a synonym, only returned 127,000). [2025 Update: Google no longer provides this information. Indeed, the only non-commercial link I see is one to Wikipedia. The first entry to any search is typically their AI answer.]

And yet, in real life, at least in my experience, far greater leverage, understanding, and practical benefit comes from attention to problem formulation or problem framing. You still need to do competent problem solving, but unless you have properly framed the problem, you will most often find yourself doing much extra work; finding a sub-optimal solution; being stymied and finding no solution; or solving completely the wrong problem. In the worst case scenario, which happens surprisingly often, you not only solve the “wrong problem.” You don’t even know that you’ve solved the wrong problem.

There are many ways to go wrong when you frame the problem. Here, I want to focus on one particularly common error in problem framing which is to cast a problem as a dichotomy, a contest, or a tradeoff between two seemingly incompatible values. We’ve all heard examples such as “Military Defense Spending versus Foreign Aid” or “Dollars for Police versus After School Programs” or “Privacy versus Convenience” or “A Woman’s Right to Choose versus the Rights of the Unborn Fetus” or “Heredity versus Environment” or “Addressing Climate Change versus Growing the Economy.”

One disadvantage of framing things as a dichotomy is that it tends to cause people to polarize in opinion. This, in turn, tends to close the minds on both sides of an issue. A person who defines themselves as a “staunch defender” of the Second Amendment “Gun Rights”, for instance, will tend not to process information or arguments of any kind. If they hear someone say something about training or safety requirements, rather than consider whether this is a good idea, they will instead immediately look for counter-arguments, or rare scenarios, or exceptional statistics. The divisive nature of framing things as dichotomies is not what I want to focus on here. Rather, I would like to show that these kinds of “versus” framings often lead even a single problem solver astray.

Let’s examine the hidden flaws in a few of these dichotomies. At a given point in time, we may indeed only have a fixed pool of dollars to spend. So, at first blush, it seems to make sense that if we spend more money on Foreign Aid, we may have fewer dollars to spend on Military Defense and vice versa. Over a slightly longer time frame, however, relations are more complex.

woman standing on sand dune throwing hat

Photo by The Lazy Artist Gallery on Pexels.com

It might be that a reasonable-sounding foreign aid program that spends dollars on food for those folks facing starvation due to drought is a good thing. However, it might turn on in a specific case, that the food never arrives at the destination but instead is intercepted by local War Lords who steal the food and use it get money to buy more weapons to enhance their power; in turn, this actually makes the starvation worse. Spending money right now on military operations to destroy the power of the warlords might be a necessary prerequisite to having an effective drought relief programs.

Conversely, spending money today on foreign aid, particularly if it goes toward women’s education, will be very likely to result in the need for less military intervention in the future. That there is a “fixed pie” to be divided is one underlying metaphor that leads to a false framing of issues. In the case of spending on military “versus” foreign aid, the metaphor ignores the very real interconnections that can exist among the various actions.

There are other problems with this particular framing as well. Another obvious problem is that how money is spent is often much more important than the category of spending. To take it to an absurd extreme, if you spend money on the “military” and the “military” money is actually to arm a bunch of thugs who subvert democracy in the region, it might not make us even slightly safer in the short run. Even worse, in the long run, we may find precisely these same weapons being used against us in the medium turn. Similarly, a “foreign aid” package that mostly goes to deforesting the Amazon rain forest and replacing it with land used to graze cows, will be ruinous in the long run for the very people it is supposedly aimed to help. In the slightly longer term, it speeds destructive (and anti-economic) climate change for everyone on the planet.

Photo by Pok Rie on Pexels.com

False dichotomies are not limited to the economic and political arena. Say for example that you are designing a car or truck for delivering groceries. If you design an axle that is too thin, it may be too weak and subject to breakage. But if you make it too thick, it will be heavy and the car will not accelerate or corner as well and will also have worse gas mileage. On the surface, it seems like a real “versus” situation: thick versus thin, right? Maybe. Let’s see what Altshuller has to say.

Genrich Altshuller was a civil engineer and inventor in the Stalin era of Soviet Russia. He wrote a letter to Stalin explaining how Russian science and engineering could become more creative. A self-centered dictator, Stalin took such suggestions for improvement as personal insults so Altshuller was sent to the Gulags. Here, he met many other scientists and engineers who had, one way or another, gotten on the wrong side of Stalin. He discussed technical issues and solutions in many fields and developed a system called TRIZ (a Russian acronym) for technical invention. He uses the axle as one example to show the power of TRIZ. It turns out that the “obvious” trade-off between a thick, strong but heavy axle and a thin, weak, but light axle is only a strict trade-off under the assumption of a solid axle. A hollow axle can weigh much less than a solid axle but have almost all the strength of the solid version.

One may question the design assumptions even further. For instance, why is there an axle at all? If you use electric motors, for example, you could have four smaller, independent electric motors and not have any axle. Every wheel could be independent in suspension, direction, and speed. No-one would have designed such a car because no human being is likely capable of operating such a complex vehicle. Now that people are developing self-driving vehicles, such a design might be feasible.

The axle example illustrates another common limitation of the “versus” mentality. It typically presumes a whole set of assumptions, many of which may not even be stated. To take this example even further, why are you even designing a truck for delivering groceries? How else might groceries go from the farm to the store? What if farms were co-located with grocery stores? What if groceries themselves were unnecessary and people largely grew food on their own roofs, or back yards, or greenhouses?

Photo by Lisa Fotios on Pexels.com

For many years, people debated the relative impact of environment versus heredity on various human characteristics such as intelligence. Let us put aside for a moment the considerable problems with the concept of intelligence itself and how it is tested, and focus on the question as to which is more important in determining intelligence: heredity or environment. In this case, the question can be likened to asking whether the length or height of a rectangle is a more important determiner of its area. A rectangle whose length is one mile and whose height is zero will have zero area. Similarly, a rectangle that is a mile high but has zero length will have zero area. Similarly, a child born of two extremely intelligent parents but who is abandoned in the jungle and brought up by wolves or apes will not learn the concepts of society that are necessary to score well on a typical IQ test. At the other extreme, no matter how much you love and cherish and try to educate your dog or cat, they will never score well on a typical IQ test. Length and breadth are both necessary for a rectangle to have area. The right heredity and environment are both necessary for a person to score well on an IQ test.

This is so obvious that one has to question why people would even raise the issue. Sadly, the historical answer often points toward racism. Some people wanted to argue that it was pointless to spend significant resources on educating people of color because they were limited in how intelligent they might become because of their heredity.

Similarly, it seems that in the case of framing dealing with climate change as something that is versus economic growth, the people who frame the issue this way are not simply falling into a poor thinking habit of dichotomous thinking. They are framing as a dichotomy intentionally in order to win political support from people who feel economically vulnerable. If you have lost your job in the steel mill or rubber factory, you may find it easy to be sympathetic to the view that working to stop climate change might be all well and good but it can’t be done because it kills jobs.

Photo by Zun Zun on Pexels.com

If the planet becomes uninhabitable, how many jobs will be left? Even short of the complete destruction of the ecosphere, the best estimates are that there will be huge economic costs of not dealing with global climate change. These will soon be far larger than costs associated with reducing carbon emissions and reforesting the planet. Much of the human population of the planet lives close to the oceans. As ice melts and sea levels rise, many people will be displaced and large swaths of heavily populated areas will be made uninhabitable. Climate change is also increasing the frequency and severity of weather disasters such as tornados and hurricanes. These cause tremendous and wide-spread damage. They kill people and cause significant economic damage. In addition, there will be more floods and more droughts, both of which negatively impact the economy. Rather than dealing with climate change being something we must do despite the negative impact on the economy, the opposite is closer to the truth. Dealing with climate change is necessary to save the world economy from catastrophic collapse. Oligarchs whose power and wealth depend on non-renewable energy sources are well aware of this. They simply don’t care. They shrug it off. They won’t be alive in another twenty years so they are willing to try to obfuscate the truth by setting up a debate based on a false versus.

They don’t care.

Do you?

—————————-

We Won the War! We Won the War!

The Dance of Billions

Fish have no word for Water

You Must Remember This

Essays on America: The Game

Cancer Always Loses in the End

FREEDOM!

Where Does your Loyalty Lie?

The Crows and Me

Somewhere a Bird Cries

Choose one of these four books for everyone on your gift list! (Better late than never!)

Imagine All the People

Collide-o-scope

Tools of Thought: Imagination

27 Saturday Dec 2025

Posted by petersironwood in America, creativity, management, psychology, Uncategorized

≈ Leave a comment

Tags

AI, art, chatgpt, creativity, Design, fun, HCI, human factors, imagination, innovation, life, neurosis, sports, testing, truth, UX, writing

Imagination.

It seems odd to bother to remind people that imagination is a tool of thought. I have four kids, thirteen grandkids, five great-grandkids and they all use their imaginations. I also worked as a camp counselor, Y leader, child care worker in a psychiatric hospital, and a sixth grade science teacher. Kids use their imaginations! In many cases, they do this for “fun” but they also are constantly using their imagination to do creative problem solving.

When I did therapy with adults however, I found that many had convinced themselves that they had no imagination. This is rather sad as well as being completely inaccurate. Furthermore, in the very ways that such adults exhibited neurotic symptoms, they were using their imaginations. But instead of using their imagination to further their enjoyment or to solve problems creatively, they mainly seemed to use their imaginations for one main purpose: to make themselves miserable.

For example, few of us enjoy being stuck in stop and go traffic. As it turns out, you can actually impact the traffic flow around you by driving differently. You can read about how in this link, but you can come to much the same conclusion by using your imagination to empathize with the drivers around you. Instead, the neurotic train of thought goes something like this: “WHY oh WHY are all these people out on the road?! MOVE! Oh, crap, I am going to be late. My boss is going to scream at me. Probably fire me. CRAP! MOVE! I’m going to be late. I’m getting fired. Damn! It’s not my fault. My boss doesn’t care. He hates people who are late. I should have left earlier. Where will I get another job at my age? I’m sunk. Once I lose my job, my spouse will leave me too. Crap. He won’t write a good letter of recommendation. Should I get off the highway and take surface roads? That might make me later. Damn! I’m sunk. Life sucks!”

Photo by Dom J on Pexels.com

That train of thought certainly uses imagination.

But in all the wrong ways. That person is not using imagination to enjoy the moment, but using imagination to quite literally make themselves miserable. And it isn’t just the commuter. Plenty of people use their imagination to “awfulize” about situations. They think of the worst possible outcome and then imagine that that worst possible outcome is bound to happen. Often, they continue the negative line of thought beyond the immediate consequences much like the teenager who is grounded for a day and screams to her parents, “Thanks! You guys just ruined my life!”

Instead, if you are in a situation that you can’t change, you could use your imagination to have some fun. So you’re stuck in traffic. There are literally a million things you could do instead of writing a tragic screenplay in your mind’s eye. I won’t list all million, but here are a few. You could design a better transportation system. You could construct a joke to put your boss in a better mood. You could turn on the radio or listen to a podcast or a book on tape. You could look at the scenery. You could make up a rather salacious spy thriller about the people around you who are also stuck in traffic. And so on.

So too, in solving problems….hold on… someone’s at the door. I’ll be right back.

——————————

Well, that was weird! Two of the characters from my last blog series came to the door! They wanted me to hurry up and finish this series on tools of thought so they can come back to life. I had to explain to them that my translator is on vacation and that there’s nothing else to write until more of the myths can be decoded. Right now, there is growing interest in recent, though mythological, archeological digs that will give us further clues about the Veritas. My own command of the mythical Veritas language is extremely rudimentary and I’m not even absolutely sure I understood correctly what they were asking. But I am sure it was She-of-Many-Paths and Shadow-Walker. It was definitely them, more or less as I pictured them, but taller, and more ripped than I had imagined. It’s also clear that the two of them are more than friends. Anyway, they seem to be of the opinion that I need to write their myths so that we real humans can avoid making the same errors that people made in their mythical universe. I don’t quite see how that’s possible, but I will use my imagination to try to understand how it might be done. I hope they don’t bother my neighbors.

—————————————

Meanwhile, back to the catalog of thinking tools in general and to the use of imagination in particular. Under some circumstances, of course, it is a useful skill to use imagination to think of what can go wrong. I use imagination in this vein for example, when asked to evaluate something from a user perspective. I try to imagine how various icons, words, transitions and so on can be problematic for users. Even though I am pretty good at that, when users are actually observed in real life, they still manage to demonstrate problems that neither I nor anyone else on the design team had thought of!

Even in UX work, it is also important to use your imagination to think of additional opportunities. “You know, we’ve been thinking about this calendar application as a passive recipient of the user’s information. But some users might also like seeing a weekly summary of their activity in different categories.” Or, you might think, “Suppose we tie the calendar in with the message system. The system knows where the user is; we could send a reminder when it’s time for them to leave for an appointment.” Or, you might think, “In some places the time to drive somewhere depends on traffic and weather. We could tie this calendar and reminder in with the map and weather apps to give better estimates of when to send a reminder.” Such musings could result in a better product. Of course, timing is important as well. Your colleagues will tend to appreciate these thoughts a lot more if you are not currently in beta test but instead at the conceptual design phase!

Even knowing that, your imagination might be more likely to kick in later in the project because the application seems more real. You can imagine the reactions of your colleagues and frame your response this way, “Trying this app makes me realize that we can make a number of enhancements in version 2.0, 3.0 etc. I’m going to start this shared file of potential additions, changes, and enhancements that we can all contribute to. We should take a look at this when we are doing 2.0 brainstorming.”

More generally, there are many possible triggers for using your imagination and you may find that some kinds of triggers are more fun for you. For example, you might read fiction and you enjoy following along with the story being presented. This requires a lot of imagination work.

You can also start with a goal or even desire and work outward from this internal state to imagine ways you might accomplish your goal or fulfill your desire. But you can also work inward. You look at what is before you; e.g., a computer screen like the one I am looking at now and ask yourself how it might be different in the future.

Such musings can follow a thread based on the characteristics. The screen is flat, for instance. What if it were curved, or dynamically reconfigurable, or foldable or moldable? What if I could shrink the actual screen depending on circumstances? You can inject your screen (and possibly yourself) into a different and unusual situation. What if I had the screen available on the tennis court? Well, I could project things on my glasses; e.g., as I walk over to retrieve a ball, I could be reminded of how to hit a kick serve. What if I had special lenses that I could pass over any word or icon on the screen? One might give me the history of any given word. Another might give me the definition. Another might give me alternatives that are more esoteric or are easier to understand; more general or more specific; more positive or negative in tone. Another tool might enable you to select a sentence, a paragraph or an entire article and ask, “Who has written similar things before?” Even without AI, a purely statistical approach might lead you find out about people with similar interests.

Another way to practice using your imagination is to pose a question or see how two things are or could be related. On the table beside me are a number of objects: a set of keys, an iPhone, a coffee cup, a checkbook, two of the books I wrote, copies of some papers that I reviewed for a recent conference, a quarter, some business cards. How could these be combined? It doesn’t necessarily matter at this point that the combination is feasible. Let’s just try it.

Putting together a set of keys and an iPhone suggests to me having an app wherein I could photograph all my keys and then, if I lost any (or all!) of the keys, I could have one 3-D printed at a local store or my home 3-D printer. I can also imagine that for another layer of security (at a cost of inconvenience) my iPhone would not turn on unless I took a picture of a particular physical key. A coffee cup and a checkbook seem to belong to different worlds indeed, but that only makes it more of a fun challenge! I like coffee. I don’t particularly like writing bills. On the day before the bills are due, perhaps the coffee machine might not deliver coffee till I wrote the bills. This strikes me as too controlling. For me, it might work better to have an ironic message delivered on the coffee cup such as, “Have a nice day! And save the insane interest rates for paying $25 a day late by paying your bill on time! Or, make some rich banker even richer. The choice is yours!” This approach would not be everyone’s “cup of tea” but that doesn’t matter. The point is to reawaken your imagination.

Photo by George Becker on Pexels.com

What about a quarter and two books I wrote? I could offer a 25 cent rebate. I could write about about the history of the quarter. I could mail people books with a quarter inside. I could make an advertisement about The Winning Weekend Warrior that is aimed at tennis players and suggest that every time they lose a set, they put a quarter in a piggy bank. When they get to 40 quarters they can buy my book. I can design strategy and tactics sheets for different sports that are sold separately. The reader/user places quarters on the sheet to reinforce strategy. In tennis, for instance, such a sheet might be static and the user could use four quarters for the positions of the four players on the court. They could be asked to select smart shots, given the positions. Similarly, I might have 4 or even 18 sheets for golf and on these sheets I would show the slope and terrain and ask people to put the quarter on for their target. Eventually, I imagine, there is a way to capture the data of how the player actually hits the golf ball on real courses and that could be incorporated into what the best shot is for that particular player. This data could also be used as input to computer golf games so that a player might use the game to help select better clubs and targets. We are no longer necessarily talking about my book or about quarters. That doesn’t matter! All that really matters is that I have used these arbitrary objects to trigger my imagination. And you can do the same!

I’m done. Hold on. Doorbell. II see that it’s the Veritas power couple again. I’m inviting them in for coffee. I wonder if they’ve ever had coffee before….

—————————————-

Roar, Ocean, Roar

The Dance of Billions

After All

All that We Have Lost

Halloween: A Horror Story

As Gold as it Gets

The Walkabout Diaries

The Ailing King of Agitate

Fifteen Properties

Cancer Always Loses in the End

It was in his Nature

Representation

22 Monday Dec 2025

Posted by petersironwood in America, management, psychology

≈ Leave a comment

Tags

AI, Business, Design, Dictatorship, Feedback, leadership, life, measurement, politics, problem solving, programming, Representation, science, symbol, testing, thinking, truth, writing

Representation

“Choose your words carefully.” We have all heard that advice. It’s good advice and choosing a good representation is key to solving problems, but the general point extends beyond choosing words. Take a few moments now to divide DCXXXV by IX without translating to Arabic numerals. Go ahead. I’ll wait.

A photo I took of a plant in our garden known as “black roses.”

Choosing the “best” representation for a problem depends on the nature of the problem but it also depends on your own skills and experience with a representation. If you have memorized the multiplication tables up to 99 x 99 (rather than only up to 9 x 9), you can use different techniques for multiplication than if you haven’t. If you already know how to program in FORTRAN and LISP, some algorithms will be easier to program in FORTRAN and some will be easier in LISP. But if the only language you know is R, then under most circumstances, it will be far faster and less error prone to use R than to learn another language and then use that one.

Every representation of a real-world situation will necessarily make some features of the situation obvious and other features will be hidden or less obvious. An elevator, for instance, might say, “Capacity: 12 people.” If all of the people are wildly obese, then 12 may not fit into the elevator. The capacity sign is assuming that the people will be somewhat average. If there are 12 adults in the elevator, and one of them is holding a newborn, it won’t make much difference. If there are only 10 people in the elevator and each one has a large suitcase full of gold bullion, there may be room for all 10 to stand, but the total weight of the cargo may exceed the capacity of the elevators, snap the cable, and plummet you to your death. Remember that the next time you get on an elevator filled with folks who have suitcases of gold bullion.

bullion gold gold bars golden — Photo by Pixabay on Pexels.com

Every representation has its limitations. If you’re familiar with a field, you will hopefully learn to recognize what those limitations are. In a famous book, The Mythical Man-Month, (still worth reading, though it should be called “Person-Month”), Fred Brooks shows that such a metric as “man-month” or “person-month” has serious limitations in planning and executing software projects. Some have paraphrased his message this way: “You can’t use nine women to make one baby in one month.” According to Brooks, who had plenty of experience as a high level manager of large software projects, when management finds that a software project is behind schedule (which is quite often), there are two major reactions of management: 1) require more measurements, reports, and presentations to management and 2) hire more people.

batch books document education — Photo by Pixabay on Pexels.com

The issue with reaction 1 is partly that it takes time away from the managers and workers in order to make those measurements, prepare those reports and presentations, and to attend the meetings. Beyond that, it puts the focus of attention on those measurements (representations) which will only be at best, modestly correlated with what the real problems are. If, for instance, requirements keep changing, or there are incompatibilities in the requirements, measuring lines of code produced is not only useless in itself; it keeps people from tackling the hard problem. A solution to a hard problem might be telling the client that there can be no more changes in requirements. A solution to a hard problem might be resolving the incompatibility in requirements. One can count lines of code pretty easily. One can count other things like “function points” with a little more work but it doesn’t require getting into the “hard” and people-oriented problems that really need to be solved.

Reaction 2 – adding more people – will put more “resources” on the project. You can easily count the people. You can easily count the hours they work. The problem is that a person-hour is, like the elevator capacity, an over-simplified metric. In fact, it is a much worse representation of the resources on the project than the elevator metric. First of all, studies show that even among programmers with equal training, there are often ten-fold differences in productivity. The second, and even bigger issue is that even really productive programmers who are added late to a project will have to learn about the project: the people, the requirements, and the code base. If these new people are stolen from an existing project, that will also put that project in jeopardy as well. If they are instead new hires, then in addition to all the technical knowledge that they need to come up to speed on, they will also have to learn all sorts of administrivia that will take time and brain space away from the project: how to commute to work, where the cafeteria is, how to fill out time cards. Most likely, they’ll have to attend ethics training, and diversity training, and safety training. Even worse, a lot of the knowledge that they will need to become a productive member of the team mainly exists in the heads of the very people who are doing the programming now! This means that the busiest, most productive people on the project will have to take time away from programming to spend it instead on answering questions that the new people will have.

Even this understated the real impact however. Let’s look at that phrase I just used, “…will have to take time away from programming to spend it instead…” What hidden assumption about representation is buried in this phrase? It gets the reader to think along the lines that time is additive. If I am deeply involved in programming and I get an IM or phone call from a newbie asking me a question about the project, it might take an hour to answer. Does that mean I have subtracted an hour from my own productive programming? No. It’s probably much worse than that. Why? Because I am not a machine, but a human being. It will cost me much more than the hour to get back to the same state of flow that I was in when I was interrupted.

I was involved for a time in looking at programmer productivity for high performance computing using various tools and the X programming language. One of the people I interviewed put it this way: “My manager calls for an hour meeting for 10 am when I am in the middle of a complex [parallel programming] problem. He thinks he’s taken an hour of my time. For him it’s an hour long meeting. But for me, he’s really destroyed the whole morning.”

These representational issues apply far beyond software development. For example, in the USA and in many other countries, we look at GDP as a measure of the economic productivity of the country. But how does this metric shape — or distort — our view of productivity? If a parent stays home with small children and they both love the time together, and the parent uses that time to help grow a loving, educated, productive citizen, it adds to the well-being of the country as well as that child and that parent and that family. But GDP? Nada. If instead, the parent paid money to put the child in mediocre day care, that would add to the GDP.

man and woman holding wine glasses — Photo by rawpixel.com on Pexels.com

Similarly, if I go to the grocery and buy a hard, tasteless tomato for myself, I will pay for the growing of that tomato, advertising it, shipping it, warehousing it, displaying it, and for the genetic alterations so that the tomato, while tasteless, is easy to transport without spoiling. Yay me! I have added to the GDP. But if I go to a friend’s house and taste a wonderful tomato, ask for some seeds or a cutting and grow my own heirloom tomato, watering it lovingly with rainwater, weeding around it, and fertilizing it with compost, I have added zero to the GDP. Yet, the tomato will give me more pleasure, not less, than the croquet balls they have in the store.

Representation is a good thing! Humans use symbolic thinking to do many things that would be difficult or impossible without these kinds of representations. But we must remember the limitations and not confuse reality with our representations of reality.

This is not a new phenomenon. In the American Revolutionary War, high ranking British military officers could not understand why the British navy “refused” to navigate their warships up the Bronx River to attack revolutionary positions upriver. If you’ve ever seen the Bronx River, you’ll realize why immediately. But the maps that the British brass looked at showed a navigable river!

river inside forest near brown leaf trees — Photo by Nashwan guherzi on Pexels.com

Yes, we need to use representation in our thinking. But we also need to think about our representations. You cannot assume that the one that is customarily used is “right” in all circumstances. People of different backgrounds and cultures will often use somewhat different representations of a problem or situation. (This is one of the advantages of diversity). However you do it, it’s worth questioning whether the way you are representing a situation or problem is optimal, or even adequate, for the problem at hand.

Suppose you are measuring “the number of user errors” that users make while using a prototype text editor. You move from prototype A which averaged 10 user errors per half hour test to prototype B which only averages 5 user errors per half hour. Yay! You’ve cut user errors in half! But what if the errors you eliminated were all fairly trivial; e.g., people with version A couldn’t figure out how to number their footnotes with Roman numerals instead of Arabic. In version B, that error, along with other trivial errors, was eliminated. But one of the new errors causes the system to crash and all the user’s work to be lost. Have you really made progress?

All errors are not alike. All dollars are not alike. All people are not alike. Not even all tomatoes are equivalent. We constantly over-simplify and yet in some cases it’s necessary in order to deal with complexity. I don’t see how all such errors can be avoided. But it’s crucial for everyone, but especially for managers and executives, to be open to the cases where the representation that is being used has become counter-productive rather than “doubling down” on such errors. Finding and fixing errors of representation are generally harder to diagnose and fix than errors made with a representation. That is all the more reason why everyone, but especially leaders, must be open to changing the way issues are represented.

It is no accident that dictatorships generally result in nations wherein people have both less material wealth and less enjoyment and freedom. A dictator typically refuses to admit mistakes and fix them even if it means murdering someone to make the problem appear to go away. Ultimately, this process ruins any organization. Such a person need not be a national leader. They can be a company manager, a coach, a corporate executive, or a parent. Everyone makes errors, including errors of representation. But a reasonable person is open to fixing it when new information becomes available. You can be like that too.

sunset beach people sunrise — Photo by Pixabay on Pexels.com

———————————-

Essays on America: Labelism

Reality Check

Wednesday

Fish have no Word for Water

After All

All We Stand to Lose

A Lot is not a Little

At Least he’s Our Monster

Plans for US; some GRUesome

Siren Song

We Won the War! We Won the War!

————————————

Regression to the Mean

21 Sunday Dec 2025

Posted by petersironwood in America, management, psychology, sports

≈ Leave a comment

Tags

AI, Business, Democracy, experiment, family, Feedback, HCI, learning, life, mental-health, personal-growth, politics, science, sports, testing, truth, USA, usability, UX, writing

Regression to the Mean

selective focus photography of yellow leaves

Photo by Haugenzhays Zhang on Pexels.com

While working full-time at IBM Research, I was also a Fellow at the Institute for Rational-Emotive Therapy in Manhattan. I wrote an article in 1978 for their Journal, Rational Living. The title was: “Why Do I Self-Down? Because I’m an Idiot?” Indeed, many people put themselves down and it is not helpful. I hypothesized several different causes for this kind of self-slamming behavior. Most of these causes you could probably figure out on your own. But one in particular is subtle and non-intuitive. It is based on a statistical phenomenon which few people know about despite the fact that it is extremely pervasive. This phenomenon is called “Regression to the Mean.”

I want to define this term by explaining some examples. Imagine that you have a new soft drink which contains a combination of herbs that will purportedly make you smarter; e.g., gingko and bacopa. (There is some evidence these may actually work but let’s assume that they don’t or that your tea has too little to be effective). Here’s what you do to “prove” that it works anyway. You give an IQ test to 10,000 people and choose the 50 who score the lowest on the test and have them drink your tea for the next six months. At the end of that time, you give those 50 people an IQ test again and — Voila! The average (or mean) of the IQ scores has almost certainly gone up. Yay! It works!

Or does it? One of your competitors is not too happy about your study. In fact, they aren’t even happy you put your tea on the market. They decide to prove that your tea is not only ineffective but that it makes people less smart. So what do they do? They give an IQ test to 10,000 people and they pick the 50 who score the highest. They have them drink your tea for six months and at the end of that time, they have them take another IQ test. In this case, the mean (average) score is lower than the first time! Ouch! They say your tea causes brain damage!

Photo by meo on Pexels.com

How can the same tea make people smarter and make them dumber? In this case, it does neither. What is going on? Here’s what is going on. When you measure something, there is always some error. Whether you are measuring your weight, your height, your blood pressure, or your IQ, the measurement is never exactly perfect. Your weight may vary slightly because of atmospheric pressure and more so because of water retention. If you take an IQ test, your score will partly reflect how well you do on such tests in general, but it will partly depend on luck. You may have felt particularly good that day, or a few of the questions might have been on topics you just heard about on TV the day before, or you may have made some lucky guesses. Or, you may have been unlucky on a particular day. You might have had a cold or misread one of the questions or forgotten your morning coffee. On any given day, some people will be a little lucky and some people will be a little unlucky. These things tend to balance out in a large group and if you tested all 10,000 people after six months, then assuming the tea has no real effect, no effect will be shown in the data.

Photo by Pixabay on Pexels.com

However, if you select the very best scores, you are partly picking smart people, of course, but you are also picking the people who were lucky that day. When you test just those people six months later, they will generally be just as smart but there is no reason to suppose they will be lucky again. Some will be lucky both times, most will not be particularly lucky or unlucky and a few will be unlucky. The average score will be lower. Conversely, if you choose the lowest scoring people, you will partly be choosing people who don’t do well on such tests in general. But you will also be choosing people who were tired, sick, guessed wrong or were otherwise unlucky that day. When you retest, those people will still tend to be people who do poorly on such tests, but they won’t necessarily all be unlucky again. Some will. Some won’t. On average, the scores will be higher than they were the first time.

The phenomenon of “Regression to the Mean” was first noted by Francis Galton in the 1880’s. Tversky and Kahneman, so far as I know, were the first to note that this phenomenon could easily cause managers, coaches, and parents to end up being unnecessarily negative. Here’s how it works. Let’s say you are learning to hit tennis serve. Although you will likely improve in general, over time, there will also be a lot of variation in your performance. Sometimes, everything will work well together and you’ll hit an excellent serve, one that is above your average level. At first, the coach’s natural inclination will be to praise this by saying, “Wow! Great serve!” or something like that. Unfortunately, your next serve, due to regression to the mean is very likely not to be quite as good as that one was. Your coach’s praising behavior was thereby punished. On the other hand, if you hit a particularly poor serve for your level, your coach might say, “Oh, come on. You can do better than that!” If they choose to say such things only on your very worst performances, then, due to regression to the mean, your next serve is likely to be somewhat better. In other words, their slamming you will be rewarded by your doing better the next time. The same general tendencies will apply to managers and parents as well.

Photo by Pixabay on Pexels.com

The same applies to you! Whatever you are doing, your performance will vary somewhat over time. If you begin by praising yourself internally whenever you hit a particularly great shot, your next shot will most likely be not so great. On the other hand, if you put yourself down when you find your performance particularly bad, “You idiot! How could you miss that!?” Your next shot will tend to be somewhat better. Over time, your positive self-talk will tend to be punished and your negative self-talk will tend to be rewarded.

It’s no wonder then that many managers, coaches, and parents end up saying very negative things about their charges. It’s also no wonder that many people say (or more likely think) many more negative things about themselves than they say positive things.

Is there anything to be done? First, simply be aware of this phenomenon. That is step one. If you are running a study, you need to be careful in selecting. The study about your tea could be fixed by re-testing the entire population; by selecting a random group of 50 rather than the best or worst; or by using a control group who did not drink tea but was retested anyway. When praising or punishing someone’s performance, do not bother with trying to reward or punish outcomes based on one trial. That’s actually a pretty poor way to coach yourself or others in any case. See The Winning Weekend Warrior for more on this. Also watch out for this when you read about various conclusions of other studies. Did the investigators select either the “best” or the “worst” for their study? If they did such a selection, did they talk about the bias this introduces? Did they have a control group?

Meanwhile, treat your mistakes as opportunities to learn, not as opportunities to put yourself down. There’s really no point in self-downing. But if you do find yourself self-downing, remember that it’s common; relax; smile at this human foible; then quit doing it. At least give yourself a break for the holidays.

Photo by freestocks.org on Pexels.com

————————————-

Tversky, A., & Kahneman, D. Judgment under uncertainty: Heuristics and biases. Science, 1974, 185, 1124-1131.

What about the Butter Dish?

The Self-Made Man

Labelism

Wednesday

Where does your loyalty lie?

After All

Plans for US; some GRUesome

The Walkabout Diaries: Sunset

The First Ring of Empathy

Stoned Soup

The Tale of the Three Blind Mice

Fifteen Properties

A Pattern Language for Cooperation

Travels with Sadie: Cooperation

Tools of Thought: Theory of Mind

19 Friday Dec 2025

Posted by petersironwood in America, management, psychology, Uncategorized

≈ Leave a comment

Tags

"Theory of Mind", AI, cooperation, Design, education, empathy, life, mental-health, poetry, politics, psychology, religion, sports, teamwork, truth, writing

Theory of Mind.

“Theory of Mind” refers to the ability of most humans to imagine, at least to a degree, what another person is likely to do based on their knowledge of what the other person knows. Here is a simple test used to determine whether someone has this ability.

You are the “subject” being tested and you are in a room with me (the “experimenter”). Your friend Vlad is in the room too. In full view of you and Vlad, I hide a giant luscious chocolate chip cookie (such as you might purchase from Panera, but won’t because you realize that if you buy it there is no way you aren’t going to eat it!). I “hide” this cookie in the top drawer of my desk. Now, Vlad walks out of the room. He’s well out of sight. Now, I take the cookie out of my drawer, and using great self-control, do not eat the cookie myself but instead put it in my pocket.

Photo by rawpixel.com on Pexels.com

Now, I turn to you and ask, “When Vlad comes back, where will he look for the cookie?” If you are 2, 3, or 4 years old, you would say, “In your pocket!” I rephrase this a few times to make sure you understand that I am not asking you where the cookie actually is but where Vlad will search. You again insist that Vlad will look in my pocket. At such a young age, kids do not distinguish their state of knowledge from someone else’s. Most adults will have no problem with this task. They have a “theory of mind” that allows them to know that their state of knowledge is not the same as Vlad’s. Some adults diagnosed with autism will have trouble with this task however.

An interesting question arises as to whether other animals have a “theory of mind.” It is not a settled question. My purpose here however, is to explain what the term means and show how it’s useful for humans. Despite the fact that most adult humans have the capacity to do “theory of mind” tasks and that it is useful, they nonetheless often fail to evoke their capacity.

Photo by Pixabay on Pexels.com

A closely related concept is “empathy.” Empathy generally refers to being able to feel what another person feels emotionally. I see the distinction as one of perspective or emphasis rather than two different entities. These two concepts (empathy and Theory of Mind) are explored in much greater detail in the “Myths of the Veritas” series in this blog. For now, suffice it to say that you might empathize with another person by relating to their facial expressions, posture, or regarding what they say and how they say it. You might see a picture of a small, terrified four-year old alone in a cage and know that they are terrified without having any verified knowledge or detailed knowledge of what they “know” or “don’t know.” They might or might not know any English. And you might or might not know their language or even what their language is. But you can tell that they are in great distress just by looking at them. If you actually feel what it is like to be a small child separated from your parents and being trapped in a cage in a strange place, that is generally called “empathy.”

If I were to ask you what kind of pleading this four year old is likely to make in court, if you have the capacity for a “Theory of Mind,” you might well ask, “Well…I don’t know. What do they know about courts or proceedings? What could they know? They are only four years old.” You’d be correct, of course, to question whether it was meaningful to have a four year old acting for themselves in court. This would be particularly true if they had to plead in a court where they were unfamiliar with the culture, the venue, and the language. But even a really smart four year old who had been brought up in America and spoke excellent English would not be capable of really understanding the consequences. This kind of understanding demonstrates a deeper theory of mind than simply knowing that because a specific piece of information is in your own head doesn’t mean it’s in someone else’s head.

In The Myths of the Veritas, people are given a range of tasks that involve what is called empathy. To me, although one can draw a conceptual distinction between understanding another person’s knowledge and feeling an echo of another person’s feelings, when it comes to many practical situations, it’s more important to put oneself in another person’s shoes, than to correctly label the process.

Writers must often deal with multi-level theories of mind. There is what the writer knows about the events that are being written about in a story. There are the spheres of knowledge that various characters have. Most often, different characters have critically different states of knowledge. What the reader knows is yet again different. And all of these spheres of knowledge change throughout the course of the narrative.

In The Myths of the Veritas, for example, the author knows throughout that ALT-R is making POND MUD put his face in the mud purely to humiliate him and keep power over him. ALT-R knows it as well. Over time, most readers will come to the same conclusion but not necessarily at exactly the same place in the narrative. Most of the Veritas tribe initially know nothing about this incident, but She-Of-Many-Paths intuits it and eventually many of the Veritas come to understand it. At first POND MUD is fairly certain ALT-R saved his life by making him do it. But as he observes and interacts with ALT-R and others, he begins to doubt that and then goes about actively seeking information from others that would help clarify ALT-R’s true motives.

mudface

In Othello, the writer knows from the beginning that Iago is an evil sociopath. The audience knows quite early that Iago is an evil sociopath and learns more about his schemes through speeches that Iago delivers directly to the audience. Othello himself, on the other hand, has his state of “knowledge” manipulated by Iago. The audience knows that Othello is being duped by Iago but Othello himself does not know of it or of Desdemona’s innocence when he murders her though at that point, the writer, the audience, Desdemona, Iago, Cassio and other characters all know that Desdemona is innocent. We have some sympathy for Othello because we realize that he is operating on false information.

Let’s turn to a happier piece of fiction, The Gift of the Magi by O’Henry (William Sydney Porter). In this story, a couple with financial struggles each gives up their most prized possession to buy a gift for the other. The functional value of the gifts is destroyed by what they gave up. Della knows that Jim’s most prized possession is his gold watch so she sells her beautiful hair to get money to buy him a watch chain. Jim knows that Della’s most prized possession is her beautiful hair so he sells his watch in order to buy her some jeweled combs for her hair. Of course, the real gifts they give are not diminished by their being no longer functional. The real gift is the gift of love. The author obviously knows all this from the beginning. Readers “catch on” to what is happening at various points in the narrative, but Jim and Della are the last to learn of the full irony.

Photo by Element5 Digital on Pexels.com

Sadly, many people seem not to bother trying to understand the situation and capabilities of others. In one of the simplest cases, people are apparently unable to understand how very basic physical properties of the universe result in various people having various states of knowledge. On the tennis court, in a “friendly game,” the players themselves make the calls and keep track of the score. The server is supposed to announce the score before every serve. Some people actually “announce” the score by saying it so softly that only they can hear it!

In other cases, novice drivers will follow a semi truck so closely that the truck drive cannot see the car behind them. Another trick of drivers is to turn their blinkers on – but only as they begin making the turn. In another post, I explain how one person’s driving behavior in “stop and go traffic” can influence many other people’s. In particular, if you leave a large space between your car and the one in front of you, it makes it easier for many people around you to drive more smoothly because they have a much more complete view of what is happening in front of them.

buildings cars city cross harbour tunnel

Photo by Pixabay on Pexels.com

A more subtle failure in “Theory of Mind” occurs when a person assumes that everyone is motivated in the same way that they are. For example, a person may be so partisan that they will always defend and promote people in their own political party no matter how heinous the crimes of that person. This is an error, but a concomitant error is that such people assume everyone who doesn’t defend the criminal, and certainly anyone who actively resists such a crooked politician is doing so from a purely partisan perspective because that’s what they would do. Sociopaths who cheat may assume that everyone would cheat and the only reason they don’t cheat is because those non-cheaters are not smart enough to get away with it.

When teamwork is operating at a high level, whether it’s hockey, soccer, tennis doubles, basketball, families, or design teams, people exhibit excellent “Theory of Mind” skills. How are yours? Have you experienced such high functioning teams? How can you improve your skills at “Theory of Mind”?

One way to improve your “Theory of Mind” skills is to become aware of the kinds of perceptual, memory, and problem solving errors that people are generally prone to. Many of the posts linked to below explore some aspect of human psychology.

group of woman playing on green field during daytime

Photo by Pixabay on Pexels.com

Where does your Loyalty Lie?

How the Nightingale Learned to Sing

The Iroquois Rule of Six

Cancer Always Loses in the End

Who Won the War?

After All

The Last Gleam of Twilight

E-Fishiness Mass General Hospital

Me Too

Meta-Cognition

18 Thursday Dec 2025

Posted by petersironwood in management, psychology

≈ Leave a comment

Tags

AI, bias, cognition, Feedback, Halo Effect, life, mental-health, politics, Primacy Effect, psychology, science, sports, truth, writing

Meta-Cognition

“Cognition” refers to thinking activities such as problem solving, learning, decision making, and imagining. “Meta-Cognition” refers to thinking about thinking. The science of psychology, over the last 150 years, has learned a great deal about human thinking. If you are reading this blog post, the chances are pretty good that you are a human being. Although there are important individual differences in how people solve problems, learn, make decisions, and use their imaginations, there are also many similarities. To the extent that you understand your own thinking, you can use that knowledge to do a better job of problem solving, learning, decision making and using your imagination.

Photo by Alexander Dummer on Pexels.com

Here are a few examples that you may already be aware of. I really like chocolate. And I really like almonds. Chocolate-covered almonds are one of my very favorite foods. I know this about myself. I also know that I am easily distracted. I’m not the sort of person who begins to write a blog post, thinks about chocolate almonds and then stops writing to rush out to the store and buy a package. In fact, there is almost no activity that I can be engaged in which I would interrupt in order to go buy chocolate almonds no matter how much I crave them. On the other hand, if there were a bowl of chocolate almonds right beside me, in easy reach, I would definitely reach over and grab some whenever I paused in my writing. So, how do I use the knowledge about my own behavior to control my own behavior?

person holding chocolates and white ceramic mug

Photo by rawpixel.com on Pexels.com

I don’t very often buy chocolate almonds. It’s relatively easy to simply not go to the part of the grocery store where these little devils hang out. If I walk by, I know that they will start singing to me like the Lorelei of legend: “Come get me! I am so tasty. Get me now. Please. I want to go home with you.” But I can’t really hear them that well beyond about five feet. Probably this is because chocolate almonds have a very rudimentary vocal apparatus.

I do buy them perhaps once a month and when I do buy them I put them in a closed drawer so they are mainly out of earshot. Then, I will have a few and get back to work. I may not have them for days at a time. If, however, I put them in a bowl right beside my computer, I am fairly certain that I would eat the whole box the first day; indeed, quite possibly in the first hour.

This is an example of using what I know about how I think about things in order to think about arranging the environment to my own long-term benefit.

Another example, which I may describe in more detail later, is the so-called “Primacy Effect.” This is known in popular terms as the power of “First Impressions.” If your first experience with something — whether it’s dogs, cats, Chinese food, or computer programming — is negative, it will be difficult to overcome that later. This is not only true of emotional reactions. It’s also true about what you recall about something.

Suppose that you meet someone named Joseph Josephson at a party and Joseph has a beard and long black hair. Perhaps you talk to Joseph for ten minutes. You meet Joseph a few months later at a tennis match and now he is clean shaven and has short hair. You play tennis with him for an hour. A few months later, someone happens to ask you if you know Joseph Josephson. Chances are, an image will pop into your head of Joseph with long black hair and a beard. Of course, sales people, politicians and wise people applying for jobs make use of this and want to make a “good first impression.” Since you now know that first impressions are particularly important, you can use this knowledge about how people think to make sure that first impression is a good one.

Photo by rawpixel.com on Pexels.com

You can also use that knowledge to help modify your own thinking and decision making. Suppose someone comes to you for a job interview and the first thing they do when they walk in your office is trip over a chair and spill their papers on the floor. That’s unfortunate! It is quite natural to immediately conclude that they are unsuited for the job. At this point, you could remind yourself instead that this is only a first impression and that you should not let it color your judgement about whether they are the best candidate for the job. You probably won’t be entirely successful in not letting it cloud your judgement, but you will be somewhat successful.

As I explain in The Winning Weekend Warrior, you can also use the “Primacy Effect” in sports. For example, if you are serving in tennis doubles, if you mainly want to hit a flat serve and stay back after serving, you might serve a kick-serve and follow it to the net a few times at the beginning. Even if you never do this again, your opponents will continue to be “looking for” that kick serve and may prepare their return on that basis.

girl in white and orange stripe tank top holding black tennis racket

Photo by Public Domain Pictures on Pexels.com

When it comes to evaluating candidates for jobs, you must also be wary of the “Halo Effect.” If you find out something good about a candidate, it will tend to cloud your judgement about other aspects of their qualifications, even if that “good thing” is irrelevant to the job. A physically attractive candidate will tend to be judged as more qualified overall even if the job has nothing to do with physical attractiveness. But now that you know this about human judgements (and therefore also your judgements), you can take steps to minimize the “Halo Effect.” It may help, for instance, if you specifically judge candidates on several dimensions of background or experience. The more “objective” you can make the criteria, the less susceptible the judgments are to the “Halo Effect.” So, if the candidate is very attractive, for example, if you simply give an overall judgement that they are suitable for the job, there will be a relatively large impact of their attractiveness. On the other hand, if you are asked to separately rate the candidate on Work Experience, Educational Background, Appearance, and Relevant Skills, the Halo Effect from their physical appearance will tend to be mainly (but not wholly) focused on the “Appearance” factor. If you answer even more specific and objective questions such as: “Does the candidate have an advanced degree?” or “Does the candidate have more than two years programming in C?” the “Halo Effect” is further minimized.

two men holding pen and calendar sitting beside table

Photo by rawpixel.com on Pexels.com

One of the most common ways that people use meta-cognition is simply to write things down. You and I both know that we have a tendency to forget. Most of us, therefore have paper or electronic calendars. We don’t typically rely on our own memory to keep track of a complex schedule of appointments. Why? Presumably, we do this because we know that we are likely to forget an appointment if we rely on our brains. Most of us do not bother to put our own birthday on the calendar because we realize that we are quite aware of it and not likely to forget. People who celebrate Christmas often do not bother to put that date on the calendar either. We know that it would be rather hard to forget! Similarly, many people who go grocery shopping and buy milk, eggs, and bread every week do not bother to put it on the list. If your aunt Mary is coming to visit and she requires soy milk, you probably will put that on your shopping list. You realize (through meta-cognition) that this is an item you are likely to forget.

Photo by Stokpic on Pexels.com

These are just a few examples. Findings about human cognition abound. You can use these findings to do a better job in your own thinking; you can use those same findings to help you in competitive situations in predicting what others will do. If you are interested in more such findings about psychology, you might find these fascinating and well-written books of interest.

Thinking Fast & Slow, by Daniel Kahneman

Predictably Irrational by Dan Ariely

Here are some other blog posts that touch on various aspects of human cognition. Being aware of these helps you use the knowledge to your advantage.

Essays on America: Wednesday

Essays on America: Labelism

What about the Butter Dish?

Fish have no Word for Water

The Update Problem

The Stopping Rule

Finding the Mustard