In celestial mechanics, the three-body problem is notorious. Give Newton two bodies – a planet and a sun – and the equations sing. Add a third, and the song collapses into noise. No general solution exists. Even the smallest nudge in one orbit cascades unpredictably through the system.
Now swap out planets for people. Not three, but millions. Each voter tugging with their own gravity – preferences, fears, biases, identities, the entire mess of human subjectivity. Democracy insists that by tallying these forces, we’ll arrive at something stable: the will of the people. But what we actually get is the millions-body problem: unstable coalitions, contradictory mandates, endlessly shifting orbits.
almost any outcome can be engineered by manipulating the order of votes
Condorcet’s Dilemma
The French mathematician Marquis de Condorcet spotted this flaw in the 18th century. His paradox showed that even if every individual voter ranks choices rationally, the group as a whole may not. Collective preferences can loop in circles: A beats B, B beats C, C beats A. It’s not dysfunction; it’s baked into the math.
Later, political scientists proved the paradox was only the beginning. McKelvey’s “chaos theorem” demonstrated that in a system with three or more options, almost any outcome can be engineered by manipulating the order of votes. In other words, democratic choice is not stable; it’s sensitive to framing, sequence, and agenda control.
Condorcet was brilliant enough to see the cracks, but like his Enlightenment peers, he decided that the fiction of order was preferable to the reality of chaos. Better to promise tidy majorities than to admit that majority rule is structurally incoherent.
majority rule a ritual of laundered coercion
The Tidy Lie
Why did majority rule catch on? Because it looked fair, even if speciously so. It gave the appearance of impartiality: count, declare, move on. It was simple enough to administer, and more palatable than monarchy or deadlock.
But neatness is not truth. If 51% of people vote for one candidate, 49% are compelled to live under a government they explicitly rejected. If a third of the population abstains altogether, the “winner” might rule with the backing of barely one-third of the country – yet claim a mandate.
This is what makes majority rule a ritual of laundered coercion. The losers are told, “next time you might win,” even though whole minorities may never win. Abstainers are scapegoated for outcomes they opposed. And everyone is asked to keep pretending that arithmetic equals legitimacy.
Like the three-body problem, democracy has no general solution.
The Millions-Body Orbit
Elections give us final numbers – 34% here, 33% there – and we mistake them for laws of motion, as if the cosmos has spoken. But what we’re really seeing is a freeze-frame of chaos. The actual trajectories – coalitions, grievances, shifting identities – continue to wobble beneath the surface.
Like the three-body problem, democracy has no general solution. It isn’t clockwork; it’s turbulence. The miracle is not that it works, but that we pretend it does. Every “mandate” is a temporary illusion, a centre of gravity that exists only until the next disturbance knocks it off course.
And yet, the illusion persists. Because without it, the truth is unbearable: that there is no singular “will of the people,” only the millions-body problem, endlessly unstable, masked by the ritual of counting hands.
Philosophics 