IX. The Problem of Problems

A criticism does not merely oppose an explanation. It could expose a hidden assumption, transform the explanation, or create an entirely new problem.

That raises a more fundamental question: what is a problem?

That's a definition.

What is the problem of problems?

That sounds like word play, but let's take it seriously.

The epistemology carries the basic schema:

$$P_1 \rightarrow TS \rightarrow EE \rightarrow P_2$$

But the notation can make the first term look passive, as if a problem were a hole waiting to be filled and the difficult work of knowledge creation begins only after the problem had already been given.

That is deeply misleading. A problem is itself an epistemic achievement.

A scientist can spend years trying to find a question worth pursuing. An entrepreneur can become celebrated for noticing a friction everyone else had normalized. A composer can make a musical problem audible before anyone possesses the language to explain what has changed. The solution may come later, sometimes much later, sometimes never. The problem can already exist as objective knowledge.

That makes problem formation one of the deepest objects in the epistemology, and it exposes one of its deepest gaps. We can describe what happens after a problem becomes active: conjecture, criticism, error elimination. We do not yet have a good explanation of how a problem becomes a problem within an epistemic mind. Why does one person notice a tension another walks past? How do new evaluative criteria arise? How can another solitary mind later apprehend them, even when the criteria are inexplicit? Why do some problems organize lives while others never become visible?

Those questions bear on creativity, intelligence, artificial systems, and individuality. They connect the abstract epistemology developed so far with the intimate lives of actual people.

The problem of problems is about that connection: not how problems are solved, but how they come to exist and evolve.

1. A problem is an epistemic object

Ordinary language often treats a problem negatively. Something is broken, missing, difficult, or standing between us and completion.

Epistemically, that is much too thin.

A problem is not simply an unanswered question. A question is linguistic; a problem can exist before anyone can state it. You can sense that something does not fit before you know how to describe it. A field can carry a contradiction before someone formulates it clearly. A work of art can create a tension before anyone knows which concept is needed to explain the tension.

A problem is better understood as a structured incompatibility, incompleteness, or unresolved relation within an epistemic landscape. It does not depend on a known solution. Nor does it depend on the truth of every premise from which it arose. Two people can disagree intensely inside an entirely false cosmology. Their concepts, disagreement, criteria, and arguments can still be real pieces of objective knowledge.

Compare it:

$$\text{reality of the problem} \neq \text{truth of the problem's premises}.$$

Problems belong to epistemic worlds, and those worlds can contain truth, error, fiction, abstraction, convention, speculation, and fantasy. A false theory can generate a real intellectual tradition. A fictional world can support a real aesthetic problem. You can spend years solving a problem that later turns out to have rested on a false premise. The problem was still epistemically real because it could be articulated, criticized, inherited, and transformed.

Once a problem is understood as positive epistemic structure rather than mere absence, another distinction becomes visible: some problems are better than others.

Problem quality cannot be reduced to difficulty. A difficult problem may be trivial, while a good problem may be simple to state. Nor can quality be reduced to the value of an eventual solution, because the problem may be profound before anyone solves it. A good problem can expose hidden assumptions, reorganize surrounding knowledge, and generate new problem spaces. Finding it can therefore be the major achievement. The problem may give direction to criticism before a solution exists.

That also changes the emotional meaning of a problem. A mathematician can delight in a question that refuses to resolve. A programmer can become absorbed by a bug that has turned interesting. A child can return to the same question because the problem has become alive. The pleasure is not merely anticipation of an answer. The epistemic mind has expanded: there is now something there to understand.

A problem can enlarge a life before it is ever solved.

2. Problems carry evaluative criteria

A problem carries some sense, however provisional, of what would count as progress.

Some distinctions matter to the problem and others do not. Some transformations would count as solutions; others would miss the point. Those criteria may be vague, inexplicit, or discovered only through failed attempts, but they are already part of what makes this problem the problem it is.

Problem formation therefore does more than select an object of attention. It partly constructs the space within which later answers will be judged.

But that space is not fixed.

A competent solution may satisfy inherited criteria. A more radical solution can reveal that the criteria themselves were inadequate. A composition can change what later listeners hear as musically possible. A scientific theory can change what counts as an adequate explanation. A philosophical distinction create new modes of explanation that make an earlier debate look confused.

In such cases, the solution does not merely fit the problem. It transforms the problem and its evaluative landscape together.

Abstract that concept.

The epistemic cycle may look less like

$$P \rightarrow TS$$

and more like

$$P_t \rightarrow TS_t \rightarrow \text{revision of criteria} \rightarrow \text{reformulation of } P_t \rightarrow P_{t+1}.$$

The problem itself evolves.

This gives one way to understand what is often called genius. Genius need not mean superior performance on an inherited task. It may consist in changing the task by creating a new problem space. The musician teaches later minds how to hear; the scientist alters what later inquiry must explain; the philosopher changes the philosophy of problems. Often times, their genius may lie dormant for decades while the latent evaluative criteria catches up.

The creative act is therefore not only solution production. It can be criterion production. And once criteria can be created rather than merely supplied, epistemology acquires a gap it has so far left mostly implicit.

3. Where does the first problem come from?

We can write:

$$P_1 \rightarrow TS \rightarrow EE \rightarrow P_2.$$

But where does $P_1$ come from?

Not in the trivial sense that some event happened. The difficulty is explaining how a mind creates, recognizes, sharpens, or inherits a problem together with the evaluative structure that makes it meaningful.

There is no buffet of fully formed problems waiting for selection. The creative work is already underway before explicit selection. A difference becomes salient. A vague dissatisfaction acquires shape. An inherited question becomes sharper. A distinction appears that makes what had looked normal difficult to accept.

Only then is there a problem to pursue. Call this the hard problem of problems.

Oh, please.

There is an empirical resemblance here to the hard problem of consciousness, not in content but in the shape of the missing explanation. People form problems continuously while speaking, working, reading, arguing, creating, worrying, playing, and daydreaming. Yet first-person familiarity with that process does not tell us how an undifferentiated situation becomes structured by salience, relevance, and evaluative criteria.

The gap matters because creativity is usually measured downstream. A system produces a novel answer, generates possibilities, combines concepts, or makes an unusual association. Those abilities may be impressive while leaving the earlier creative act untouched.

The earlier act is problem formation itself: something becomes worth explaining, and the standards by which an explanation will later be judged begin to take shape. If that is right, part of what looks like a creativity gap is really a problem-formation gap.

The question then changes. It is no longer merely whether a system can generate a novel answer. It is whether the system can originate a new problem situation, discover why it matters, and reorganize its evaluative criteria around it.

That question also exposes a limitation in fixed-goal models of intelligence. A goal-seeking system begins with an objective and searches for actions that improve performance relative to it. Reward-based systems have the same basic shape: the criterion is supplied, then the system optimizes.

But you can discover that the goal was wrong. The metric may be misleading. The task may have been badly formulated. What everyone had been optimizing may turn out not to be worth optimizing.

Compare it:

$$\text{intelligence} \neq \text{optimization under fixed criteria}$$

if explanatory creativity is part of intelligence.

Current artificial systems can be extraordinarily capable after a problem has been framed. They can search, compare, synthesize, criticize, optimize, and generate candidates. Those abilities do not by themselves explain autonomous problem formation and selection.

The unresolved boundary is therefore sharper than a contrast between weak and powerful performance. Can an artificial system originate a problem situation, determine why it matters, revise its own evaluative criteria, and thereby alter the future problem space from which later problems arise? We do not yet possess an explanation of that process in humans. We therefore do not yet possess an explanation of how to reproduce it artificially.

4. Problems can travel between solitary minds

A problem need not remain inside the mind in which it first becomes active. It can be written down, spoken, drawn, encoded, taught, published, or embodied in a work. Once externalized, another person can reconstruct enough of its structure for the tension to become active in their own mind.

Abstract it:

$$M_i \rightarrow P \rightarrow O_P \rightarrow M_j.$$

The problem travels. There is no need for a collective mind.

Evaluative criteria can travel too, and that is stranger. A composer can establish a new aesthetic possibility. A scientist can produce an explanation that changes what later scientists count as adequate. A philosopher can introduce a distinction that later readers find indispensable. Other minds can apprehend the novelty before anyone can fully explain the new criterion itself.

The criterion becomes available before the meta-explanation of the criterion. That reality can fly by unnoticed. Grab it, and delight in how extraordinary and mysterious it is.

A novel problem-solution-criterion structure can therefore become objective knowledge and reorganize different solitary minds in compatible ways:

$$M_1 \rightarrow O \rightarrow M_1'$$ $$M_2 \rightarrow O \rightarrow M_2'$$ $$M_3 \rightarrow O \rightarrow M_3'.$$

No group mind performs the recognition. The convergence occurs through independent reconstruction. This is synchronous consilience across minds.

Shared biology, language, and culture may each contribute to that possibility. But they do not yet explain how a genuinely novel evaluative criterion becomes intelligible to a path-dependent mind that did not previously possess it.

The mystery becomes more concrete when the unit of analysis stops being minds in general and becomes one particular person. You.

5. From problems to people to you

You do not live among problems in general.

Each mind encounters some problems as alive and others as inert. One person can spend a decade on a question another finds meaningless. One becomes absorbed by harmony, another by machinery, another by fairness. The world does not present a uniform landscape of problems. Problems become differently problematic inside different minds.

If problem formation is part of the epistemic cycle, and if you are capable of continuing that cycle without a fixed domain, then individuality cannot be described only by what you know. It also depends on what becomes problematic to you, which tensions remain alive, which criteria you acquire, and which problems your history makes capable of seeing next.

That gives a deeper meaning to interest.

An interest is usually described as a preference: someone likes music, engineering, or politics. But preference alone does not explain why an interest reorganizes attention and learning. A more useful description is a relatively persistent readiness for certain classes of problems to become alive.

Compare it.

$$\text{interest} \neq \text{mere preference}$$

and is closer to:

$$\text{interest} \Rightarrow \text{recurring problem salience}.$$

This illuminates why interests can organize attention, memory, learning, and identity without being reducible to any one of them. An interest keeps generating problems, and because the knowledge needed to see those problems changes through use, interests are path-dependent. A child who learns enough music begins to hear tensions they could not previously hear. A programmer who learns one language begins to notice architectural problems that had been invisible. A person who learns a history begins to see present events differently.

Abstract it:

$$P_t \rightarrow K_{t+1} \rightarrow I_{t+1} \rightarrow P_{t+1}.$$

The problem changes knowledge. Knowledge changes interest. Interest changes what future problems become visible.

This makes individuality recursive. People do not merely know different things; they become capable of finding different things problematic.

The developing child makes the process easier to observe. A child asks why something moves, why a rule is fair, why a joke is funny. Many questions vanish immediately. Others become fascinations. The child does not wait for a curriculum to assign a problem; the problem world is already active. As the child learns more about dinosaurs, for example, distinctions multiply; those distinctions create new questions; the new questions deepen the interest. Knowledge does not simply close the deficit. It creates more things that can be unexplained.

It produces an increasingly unconventional picture of people, and those explanations create more problems than they solve. You might accept the epistemology in the abstract while still failing to recognize actual people as they manifest it. You might recognize your own interior complexity while continuing to see other people as thin. Once that problem became visible, an abstract treatment was no longer sufficient. The existing explanation created a criterion it could no longer satisfy.

The lonely young man shows what such reformulation can do at the scale of a life. The social category says only "lonely young man." It does not tell us his rich problem situation. Perhaps he is asking why nobody chooses him, what kind of relationship he actually wants, or why belonging seems easier for everyone else.

Then another possibility appears: perhaps he has been trying to solve the wrong problem.

That change matters before any relationship changes. If the problem changes, success can change with it. Success may cease to mean becoming attractive to more people and become finding relationships that fit what he actually values. The reformulated problem changes the solution space because it changes the criteria.

A problem can therefore become existential without being permanent. It has reach: it reorganizes self-understanding, changes which experiences matter, alters expectations, and helps determine which problems become visible next. A life is not merely a sequence of solved tasks. It can become organized around a few deep problems that continually generate successors.

Biography, on this view, is partly the unique history of your problems, in the dynamic sense we've been exploring.

6. Problem environments make minds visible or invisible

Consider someone whose work reveals very little of them. At work they follow the process, say little, and repeat the same tasks. A manager may not describe them as imaginative. A coworker may conclude that there is not much happening there.

Then the shift ends. The same person argues about history, repairs an appliance, or becomes absorbed in a game. The person seems to reappear.

But the person never disappeared. The problem environment changed.

Some jobs leave little room for self-directed problem formation. The problem, goal, criteria, and process are largely assigned. Under those conditions your active problem can shrink to how to get through the shift, how to avoid trouble, or how to satisfy the procedure. Interests that would otherwise open richer problem spaces have little opportunity to act. You can remain surrounded by people while being cut off from many of the problems that animate you.

That helps explain a familiar asymmetry. We are often willing to describe coworkers, strangers, or political opponents as dull or unintelligent. Close friends and family are harder to reduce that way because intimacy gives access to more of the person's rich problem situation: what bothers them, what they notice, what they keep returning to. Their mind remains solitary, but the observable surface becomes richer.

The inference from narrow behavior to a narrow person therefore becomes harder to sustain.

The people we call smart are often situated in the opposite environment. Their interests intersect with problems that institutions value. A scientist's curiosity is rewarded; an inventor's fascination becomes useful; a musician's problem world becomes culturally legible.

Abstract it:

$$\text{interest} + \text{problem opportunity} + \text{social valuation} \rightarrow \text{visible epistemic performance}.$$

That performance is real. But the environment does more than provide opportunities. It also distributes rankings of problems. Some are treated as serious, others frivolous; some as respectable, others embarrassing. Those valuations become objective knowledge too, and individuals inherit them. You can abandon a problem not because it ceased to matter to you, but because you learned that caring about it made you feel unserious.

This can distort how intelligence becomes visible. When interests and socially valued problems align, the person often looks intelligent. When they do not, the person may look unmotivated. Observers can then mistake successful alignment with valued problem classes for general epistemic rank. The underlying difference may be smaller than the visible difference suggests.

We do this most conspicuously with machines. A car and its driver is faster than the driver. A weapon and its soldier is more powerful than the soldier. My AI and I is more clever than I.

The analogies are illuminating observations; they are not explanations. You can measure speed; you can weigh power. You cannot rank cleverness or intelligence in this crude way. You cannot even clearly attribute its capabilities. Did you create the problem, or did the machine recall it? Did you surface the decisive insight? Was the objective knowledge latent? If so, where did the constituents reside? In the machine or the mind?

Remove the machine and those mysteries remain. You are already generally intelligent. Adding the machine does nothing to advance the explanation of your unexplained parts. Observations of phenomena cannot confirm your conjecture, even when they make you feel epistemically mediocre. Declaring it is manifestly true doesn't accomplish it either, even when the authorities of experts and the masses agree.

That does not erase real variation in capability. It shows that environment mediates what capability becomes observable, and how our evaluative criteria profoundly shape what we can even observe.

The same structure also explains why vocation can feel different from employment. When your interests and available problems align, effort can expand your problem situation rather than merely exhaust it. Knowledge creates more questions. Failure reveals structure. Criticism becomes useful because it changes what can be tried next.

But this explanation creates a harder problem. If environments can make a rich problem world visible or invisible, what would distinguish suppressed or narrow activity from a genuinely limited kind of mind?

7. What would epistemic inferiority require?

Some people are routinely treated as epistemically inferior: slow, incurious, unable to understand. More recently, AI is writing these characteristics on humanity writ large.

If those descriptions identify a genuinely lesser epistemic kind, then the claim that persons are universal explainers is wrong. The framework cannot avoid that possibility by restating every thin surface as hidden depth.

The relevant question is narrower:

what evidence would establish a principled limit on explanatory universality?

Measured differences in memory, speed, knowledge, education, fluency, and skill are real. But a difference in measured performance is not the same thing as a difference in explanatory kind.

Compare it:

$$\text{difference in performance} \neq \text{difference in explanatory kind}.$$

That distinction does not prove universality. It identifies the burden of explanation. A narrow sample of behavior does not by itself establish a principled ceiling on the kinds of explanations a person could create, criticize, or understand under changed problem conditions.

Apparent epistemic stasis is the harder case. A person may seem to do the same thing every day, pursue no visible intellectual project, repeat inherited opinions, and appear uninterested in novelty. If explanatory universality is a capacity rather than continuous exercise, stasis does not immediately refute it. But that only restates the problem. We still need causal accounts of how the same surface could arise.

One possibility is local equilibrium. Few tensions become salient; existing explanations appear sufficient; the current problem situation creates little pressure for reconstruction.

Abstract it:

$$K_t \rightarrow \text{few active problems} \rightarrow K_{t+1} \approx K_t.$$

Nothing in that state implies a permanent ceiling. It describes a period in which little is changing.

Another possibility looks similar from outside but is almost the opposite internally. A person may be highly active while making little epistemic progress. In rumination, the same tension produces successive tentative solutions and criticisms without substantially expanding the problem space.

Abstract it:

$$P \rightarrow TS_1 \rightarrow EE \rightarrow TS_2 \rightarrow EE \rightarrow TS_3.$$

This is not inactivity. It is constrained recursion: the mind is busy while remaining epistemically trapped, or more opportunistically, wedded to the same problem.

A narrowed environment can produce another version. Solitary confinement removes many sources of novelty, conversation, criticism, and redirection, but the person does not simply turn off. Problems, memory, and internal tension remain active inside a reduced external field. This is not a psychology of solitary confinement. It establishes only the narrower point: a simple environment does not imply a simple mind.

And sometimes low-demand behavior is produced by too much epistemic activity rather than too little. Work follows you home, a conflict keeps reopening, grief will not resolve. Your mind keeps producing counterfactuals until you want the cycle to slow. Familiar entertainment, repetitive work, or quiet can then be forms of rest rather than evidence of epistemic poverty.

The same visible surface can therefore arise from local equilibrium, constrained recursion, externally imposed problems, exhaustion, engagement elsewhere, or genuine lack of interest in the problems an observer values.

That returns us to the opacity of other persons. A shift at work, a social-media feed, a classroom, a short conversation, or a standardized test gives only a thin behavioral surface. From it we may learn something real about what a person is doing under those conditions. We do not thereby obtain the person's whole problem situation.

Epistemology does not require that everyone secretly be profound. That would be another unsupported inference. It requires a distinction between evidence of narrow current activity and evidence of principled epistemic inferiority.

The distinction matters because individuals differ not merely in what they know but in what becomes problematic to them. Two people can share language, education, workplace, and neighborhood while one notices injustice, another inefficiency, and another beauty. Those differences compound. Problems change knowledge; changed knowledge alters salience; salience generates new problems. Some are reinforced by social recognition, others suppressed.

The epistemic mind is therefore not simply a bundle of beliefs. A person is an evolving landscape of problems. The universal explainer, on this account, is not a person displaying continuous brilliance. The child asking why, the worker narrowed by an assigned task, and the person trapped in an unresolved tension are different visible states of an epistemic life.

That gives biography another dimension. Alongside institutions, relationships, achievements, traits, and events runs a history of which tensions became alive, which questions survived, which criteria changed, and which problems reorganized what came next. That history is not fully visible from outside, but neither is it sealed inside subjectivity. Problems can be externalized, reconstructed, criticized, and shared. Your mind remains solitary; your problem situation is not therefore private in principle.

Visible behavior therefore gives evidence about what a person is doing under particular problem situations. It does not automatically reveal the principled limits of the problems that person could ever understand or create. What you can explain tomorrow depends partly on problems you have not yet encountered, distinctions you have not yet learned, criticisms you have not yet received, and criteria that may not yet exist.

A present surface cannot contain that future.

That is enough to return to the objective problem of problems with a sharper question: what exactly can an externalized problem carry between minds, and what remains unexplained when it arrives?

8. When a problem becomes yours

A problem can become objective knowledge. It can be stated, preserved, criticized, taught, and inherited. Its criteria can become objective knowledge too. Later minds can reconstruct enough of the structure to continue the inquiry.

That may explain how a problem can travel. It does not explain why the problem becomes alive in you.

The written problem does not contain the whole knowledge history through which you encounter it. It does not contain which distinctions are already salient or which experiences make the tension matter. It does not contain the competing problems already active in you, or the inexplicit criteria through which something can feel wrong before you can say why.

Objective knowledge can therefore carry the structure of a problem without carrying a complete explanation of its uptake.

The personal cases make that limit visible. The lonely young man's problem can be stated objectively, but the statement alone does not explain why one reformulation reorganizes his life and another does not. A deadening job can assign an objective task without revealing the richer problem world that becomes visible after work. A standardized test can record performance on a defined problem without containing the person's complete problem history or establishing the limits of the problems they could later learn to form.

The same limit appears with novel criteria. A composition can embody a new musical possibility. A proof can embody a new standard of elegance. A philosophical distinction can become available to later readers. But the artifact does not yet explain how a solitary, path-dependent mind comes to recognize the new criterion as a criterion. As something that matters.

Objective knowledge is therefore not a rival explanation of you. It is part of your environment. It supplies problems, criticisms, distinctions, examples, and criteria that can be reconstructed. You bring an evolving problem situation through which those objects become differently salient. Their interaction changes both what you can see and what objective knowledge you can create next.

That explains why a shared culture need not produce identical minds. It does not explain salience itself.

The gap has therefore moved backward. Before a problem can be criticized, it must in some sense appear. Before a criterion can be revised, something must make the existing criterion inadequate. Before an interest can recur, some distinctions must become available to attention rather than others.

You may encounter the same gap here. Some aspects become salient, others do not. Some produce resistance; others reorganize a prior explanation. The process begins before its causes are fully available to introspection.

The problem of problems therefore creates a successor problem: How does anything become salient enough to become a problem at all?