Problem Solving
The solution of the age
What the problem is
You can't look a big problem too directly in the eye
Everything works both ways
The kind of problem a city is
The problem of the house has not yet been stated
Clinging to ideas
A good question is better than a brilliant answer
A normal wooden pencil
Each fascinating crisis
You are agreeing to make a Thing
How to be a genius
Old solutions
As something we have never seen before
The technology shelf
Details first
Each pattern is a rule
When all you have is a hammer
Notes on the Synthesis of Form
Framing vs. Shaping
Learning to walk through walls
An Article by David R. MacIverI have a running joke that one of the most useful things I do when coaching or consulting is to say to people “Yes, that does sound like a problem. Have you tried solving it?”
Part of why this is a joke is that actually most of the useful work happens prior to the point - the hard part is actually articulating what is going wrong well enough that it seems like a soluble problem - but there is genuinely something useful about this, because often it feels people are looking for permission.
Without the external prompt, solving their problem is not something they noticed that they were allowed to do.
Delight in the imperfect
An Article by David R. MacIverI think part of the difficulty in allowing ourselves to properly delight in the imperfect, comes from conflating delighting in something with wanting it to happen. This isn’t the case. You can appreciate something as it exists while acknowledging its problems. You can see that a fire is beautiful without becoming a pyromaniac, and you can appreciate the absurdity of your political situation without thinking it’s good.
Even if a delight in the imperfect causes you to want more imperfection in your life (and it should), there is no shortage of imperfection to seek out. The imperfect is not scarce, it’s abundant. If you find imperfection delightful, you will never be short of things that delight you, even if you fix any given problem. Solving problems and smoothing out imperfections doesn’t remove the source of delight, it merely opens up new vistas for it. You could give yourself over totally to delight in the imperfect and never run out of things to explore, even without creating your own.
The Nature of Product
An Article by Marty CaganToo many product managers and product designers want to spend all their time in problem discovery, and not get their hands dirty in solution discovery – the whole nonsense of “product managers are responsible for the what and not the how.”
The Feynman Algorithm
A Definition- Write down the problem.
- Think real hard.
- Write down the solution.
The fastest way to learn something is to do something
An Article by David R. MacIverSuppose you have a problem to solve. What do you do?
Well, you sit down and think real hard, and after extensive and careful planning you try the well thought out and rigorous solution that you have thought up. Right?
No, wrong! Bad.
The correct thing to do when you have a problem is:
- Think for a short amount of time.
- Make sure it is safe to try things.
- Try something you think will work.
- Observe the result. If you succeeded, yay you solved the problem! If it didn't work, think about what that means for the nature of the problem and try again.
Scott and Scurvy
An Essay by Maciej Cegłowski…one of the simplest of diseases managed to utterly confound us for so long, at the cost of millions of lives, even after we had stumbled across an unequivocal cure. It makes you wonder how many incurable ailments of the modern world—depression, autism, hypertension, obesity—will turn out to have equally simple solutions, once we are able to see them in the correct light. What will we be slapping our foreheads about sixty years from now, wondering how we missed something so obvious?
Class 1 / Class 2 Problems
An Article by Kevin KellyThere are two classes of problems caused by new technology. Class 1 problems are due to it not working perfectly. Class 2 problems are due to it working perfectly.
...Class 1 problems arise early and they are easy to imagine. Usually market forces will solve them. You could say, most Class 1 problems are solved along the way as they rush to become Class 2 problems. Class 2 problems are much harder to solve because they require more than just the invisible hand of the market to overcome them.
...Class 1 problems are caused by technology that is not perfect, and are solved by the marketplace. Class 2 problems are caused by technology that is perfect, and must be solved by extra-market forces such as cultural norms, regulation, and social imagination.
Adding is favoured over subtracting in problem solving
A Research PaperHow would you change this structure so that you could put a masonry brick on top of it without crushing the figurine, bearing in mind that each block added costs 10 cents? If you are like most participants in a study reported by Adams et al. in Nature, you would add pillars to better support the roof. But a simpler (and cheaper) solution would be to remove the existing pillar, and let the roof simply rest on the base.
A series of problem-solving experiments reveal that people are more likely to consider solutions that add features than solutions that remove them, even when removing features is more efficient.
Do not propose solutions
A Quote“Do not propose solutions until the problem has been discussed as thoroughly as possible without suggesting any.
I have often used this edict with groups I have led—particularly when they face a very tough problem, which is when group members are most apt to propose solutions immediately.”
— Norman R.F. Maier
What we have known since long
A Quote by Ludwig WittgensteinThe problems are solved, not by giving new information, but by arranging what we have known since long.
A City Is Not a Tree
- Strands of life
- Impending destruction
- The right overlap
- The difficulty of designing complexity
- Political chains of influence
Strands of life
For the human mind, the tree is the easiest vehicle for complex thoughts. But the city is not, cannot, and must not be a tree. The city is a receptacle for life. If the receptacle severs the overlap of the strands of life within it, because it is a tree, it will be like a bowl full of razor blades on edge, ready to cut up whatever is entrusted to it. In such a receptacle life will be cut to pieces. If we make cities which are trees, they will cut our life within to pieces.
Impending destruction
In any organized object, extreme compartmentalization and the dissociation of internal elements are the first signs of coming destruction.
The right overlap
Overlap alone does not give structure. It can also give chaos. A garbage can is full of overlap. To have structure, you must have the right overlap.
The difficulty of designing complexity
Designers, limited as they must be by the capacity of the mind to form intuitively accessible structures, cannot achieve the complexity of the semilattice in a single mental act. The mind has an overwhelming predisposition to see trees wherever it looks and cannot escape the tree conception.
Experiments suggest strongly that people have an underlying tendency, when faced by a complex organization, to reorganize it mentally in terms of non-overlapping units. The complexity of the semilattice is replaced by the simpler and more easily grasped tree form.
Political chains of influence
In Chicago, formal chains of influence and authority are entirely overshadowed by the ad hoc lines of control which arise naturally as each new city problem presents itself. These ad hoc lines depend on who is interested in the matter, who has what at stake, who has what favors to trade to whom.
This structure, which is informal, working within the framework of the first, is what really controls public action. It varies from week to week, even from hour to hour, as one problem replaces another. Nobody’s sphere of influence is entirely under the control of any one superior; each person is under different influences as the problems change. Although the organization chart in the Mayor’s office is a tree, the actual control and exercise of authority is semilattice-like.
Same name in the same basket
Does a concert hall ask to be next to an opera house? Can the two feed on one another? Will anybody ever visit them both, gluttonously, in a single evening, or even buy tickets from one after going to a performance in the other?
In Vienna, London, Paris, each of the performing arts has found its own place, because all are not mixed randomly. The only reason that these functions have all been brought together in Lincoln Center is that the concept of performing art links them to one another. The organization is born of the mania every simple-minded person has for putting things with the same name into the same basket.
Separation of concerns
Another favorite concept of the CIAM theorists and others is the separation of recreation from everything else. This has crystallized in our real cities in the form of playgrounds. The playground, asphalted and fenced in, is nothing but a pictorial acknowledgment of the fact that ‘play’ exists as an isolated concept in our minds. It has nothing to do with the life of play itself. Few self-respecting children will even play in a playground.
Play itself, the play that children practice, goes on somewhere different every day. In a natural city this is what happens.
Structural complexity
The idea of overlap, ambiguity, multiplicity of aspect, and the semilattice are not less orderly than the right tree, but more so. They represent a thicker, tougher, more subtle and more complex view of structure.
Neighborhoods
We cannot get an adequate picture of what Middlesborough is, or of what it ought to be, in terms of neighborhoods. When we describe the city in terms of neighborhoods, we implicitly assume that the smaller elements within any one of these neighborhoods belong together so tightly that they only interact with elements in other neighborhoods through the medium of the neighborhoods to which they themselves belong. Ruth Glass herself shows clearly that this is not the case.
Cities which are trees
Columbia, Maryland
Greenbelt, Maryland
Greater London Plan
Mesa City, Paolo Soleri
Tokyo Plan, Kenzo Tange
Chandigarh (Le Corbusier)
Brasilia, Lucia Costa
Communitas (Percival and Paul Goodman)
Roman town evolved from military campsIn the worst cases, the units of which these cities are composed fail to correspond to any living reality; and the real systems, whose existence actually makes the city live, have been provided with no physical receptacle.
In a tree structure, it means that within this structure no piece of any unit is ever connected to other units, except through the medium of that unit as a whole.
Sets and systems
When the elements of a set belong together because they cooperate or work together somehow, we call the set of elements a system.
From a designer’s point of view, the physically unchanging part of this system is of special interest. I define this fixed part as a unit of the city.
Whatever picture of the city someone has is defined precisely by the subsets he sees as units.
Natural and artificial cities
I want to call those cities which have arisen more or less spontaneously over many, many years natural cities. And I shall call those cities and parts of cities which have been spontaneously created by designers and planners artificial cities. Siena, Liverpool, Kyoto, and Manhattan are examples of natural cities. Levittown, Chandigarh, and the British New Towns are examples of artificial cities.
It is more and more widely recognized today that there is some essential ingredient missing from artificial cities.
Trees and semilattices
The tree of my title is not a green tree with leaves. It is the name of an abstract structure. I shall contrast it with another, more complex abstract structure called a semilattice.
Both the tree and semilattice are ways of thinking about how a large collection of many small systems goes to make up a large and complex system.
A collection of sets forms a semilattice if, and only if, when two overlapping sets belong to the collection, the set of elements common to both also belongs to the collection. That is, if [234] and [345] belong to the collection, then [34] belongs to the collection.
A collection of sets forms a tree if, and only if, for any two sets that belong to the collection either one is wholly contained in the other, or they are wholly disjoint. Every tree is trivially a simple semilattice.
We are concerned with the difference between structures in which no overlap occurs, and those structures in which overlap does occur.
The semilattice is potentially a much more complex and subtle structure than a tree. It is this lack of structural complexity, characteristic of trees, which is crippling our conceptions of the city.