Sharpening Your Skills

In A Guide for the Perplexed (1977,) British economist E. F. Schumacher drew a distinction that most analytically trained people have never encountered, and genuinely need to reckon with.

Some problems are convergent. They have a correct answer waiting to be found. Apply the right method, follow the logic, arrive at the solution. Engineers live here. So do surgeons and analysts—anyone whose professional value is finding the one right answer and executing it cleanly.

Other problems are divergent. The more carefully you examine them, the more they expand. They don’t resolve; they reveal competing values in genuine conflict. Public policy lives here. So do ethics and philosophy, and anyone whose job is to navigate competing goods rather than optimize a single variable. Force a clean answer onto a divergent problem and you haven’t solved it. You’ve hidden the tradeoff and called it a decision.

The uncomfortable part is this: the smarter and more analytically trained you are, the more dangerous this mistake becomes. Precision thinkers are better than most at building an airtight case for whichever side they land on. That skill, applied to a divergent problem, doesn’t produce insight. It produces sophisticated certainty about something that doesn’t deserve it.

Some Dilemmas Are Not Solved but Stewarded

Most of the problems that actually matter in a life—in work, in relationships, in how you move through the world—are divergent. And most of us keep trying to solve them like they’re convergent.

Take the tension around work. The case for discipline and sustained effort is real. Ambition requires sacrifice, and most things worth building took longer and cost more than anyone wanted. The case for rest and presence is equally real. Chronic overwork degrades judgment, damages health, and erodes the relationships that give the work meaning in the first place. These aren’t opposing camps. They’re opposing truths, and the person who’s fully resolved the tension has probably just stopped listening to whichever side makes them uncomfortable.

Flying is where this gets personal. You care about the environment sincerely, not as a performance. You also have people you love across the Atlantic, a career that benefits from being present in the world, and a real conviction that travel builds the kind of understanding that’s hard to come by any other way. You’ve made those trips to Europe every year for a decade. The carbon math is real. So is everything else. The person who flies without a second thought has made peace with something worth examining. The person who grounded themselves years ago and feels entirely settled about it has also, in all likelihood, flattened something that deserves to stay complicated. Most of us are making judgment calls under genuine moral uncertainty, and pretending otherwise doesn’t dissolve the tradeoff. It just makes us less honest about the choice we’re actually making.

Luxury consumption presents a quieter version of the same tension. There’s a serious case for buying well: quality goods last longer, reward skilled craft, and reflect a considered relationship with objects rather than a disposable one. There’s an equally serious case for restraint: past a certain point, the marginal difference between a good product and an expensive one is mostly story, and the resources spent on a luxury watch or a well-branded bag carry an opportunity cost that’s genuinely hard to justify. The line between value and excess isn’t fixed. It shifts with income, with priorities, with what you’re trying to express and to whom. Most people feel that ambiguity at the moment of purchase, then suppress it quickly. Sitting with it instead tends to produce more honest choices.

Free speech is where personal conviction and structural reality press hardest against each other. The case for broad expression is serious: the ideas that most needed protection historically were almost always the ones the majority found most objectionable, and the authority to suppress rarely stays contained to its original targets. The case for limits is equally serious: speech that organizes real-world violence or deliberately spreads false information at scale isn’t really an exchange of ideas. Dismissing either concern requires ignoring something real, and people who manage it cleanly have usually just decided which team they’re on.

To Demand a Single Answer Where Values Conflict Is to Mistake Thinking for Arithmetic

This is where philosophy earns its keep. Not as an academic exercise, but as a practical habit. Philosophical training doesn’t resolve these tensions; it teaches you to sit with them without flinching. It gives you the vocabulary to name what’s actually in conflict, the discipline to take seriously the position you instinctively resist, and the honesty to recognize that discomfort with an argument isn’t the same as a refutation of it. You don’t need a philosophy degree. You need the habit of asking what the other side is genuinely trying to protect before concluding they’re wrong.

Dialectical thinking isn’t fence-sitting or false equivalence. It’s the recognition that some tensions are structural—they don’t resolve, they require ongoing management. It has its own failure mode worth acknowledging: people who are good at holding both sides sometimes use that capacity to avoid committing to anything. The point isn’t permanent suspension. It’s more honest decisions, ones that account for what’s actually being traded rather than pretending the tradeoff isn’t there.

When a problem keeps expanding under scrutiny rather than narrowing, the move is to stop looking for the answer and start mapping the competing values instead. Write them down. Name what each side is actually trying to protect. Sit with that before reaching for a resolution. When synthesis isn’t possible, the honest move is to decide which value takes priority in this specific context, acknowledge what that costs, and stay willing to revisit it.

Schumacher’s point wasn’t that convergent thinking is bad. It’s that applying it to divergent problems produces false certainty. By embracing a dialectical approach, we move from the frantic impulse to ‘fix’ things toward the courageous labor of ‘understanding’ them. The mind finds ambiguity uncomfortable and certainty rewarding. That’s not a flaw; it’s just how cognition works. But it means the pull toward premature resolution is strong, and resisting it takes more than good intentions.

The person who’s fully settled on work and rest, on flying, on what’s worth spending money on, on where expression ends and harm begins—without any residual tension—hasn’t found clarity. They’ve found comfort. Those aren’t the same thing, and it’s worth knowing the difference.