Nonviolence and Science: What Freud, Gandhi, and a Forgotten Physicist Reveal About the Logic of Peace

Can a single word — no — hold the key to ending cycles of violence? It sounds too small to matter. Yet a 1925 paper by Sigmund Freud, a banned pamphlet by Gandhi, and a dusty 1803 physics textbook by Lazare Carnot all point to the same startling idea. Welcome, dear friends of FreeAstroScience. Today we’re taking you on an unusual journey, one that connects psychoanalysis, mathematical logic, and the first principle of mechanics. Stay with us to the very end, since the payoff is worth it: a fresh way to think about conflict, truth, and the science we were all taught never to question.

Why Is Science So Hard to Criticize?

Criticizing an army is easy. Bombs, barracks, and drill sergeants wear their violence on their sleeves. Criticizing science is another matter entirely.

Antonino Drago — born in 1938, a physics graduate of the University of Pisa and retired professor of History of Physics at the Federico II University of Naples — opens his two-part study for the journal Controversie with exactly this problem. Nonviolence lives in the warmth of human relationships. Mathematized science, by contrast, is a vast formal structure with its own private language. That language, Drago writes, acts as a barrier that keeps ordinary people out.

So how do you get inside the castle? Drago’s answer surprised us. The gate, he says, was left open by Sigmund Freud.

What Did Freud Discover in a Single “No”?

In 1925 Freud published a short paper titled “On Negation.” It’s only a few pages long, and unlike his case studies, it explains the method of psychoanalysis itself.

Freud describes a patient recounting a dream. The man hadn’t seen his mother in a long time. When she finally appears, she’s aged, sour, and cruel — she even insults him. In the dream, there’s a knife on the kitchen table. He reaches for it. Then the patient adds, unprompted: “But I did not want to kill my mother.”

Catch that “not” in mid-air, Freud instructs the analyst — and add another one: “It is not true that he did not want to kill his mother.” That doubly negated sentence, Drago explains, opens the door to the patient’s buried trauma. The linguistic negation mirrors a psychic one: the repressed wish surfaces in sleep, and the waking mind slams the lid back down with a “no.”

Here’s the leap that matters for us. Drago extends Freud’s move to conflicts between people. Someone attacks you; your mind says “enemy,” a pure negativity. Freud’s method suggests answering that negativity with another negation: “It is not true that this person is my enemy.” That double negation doesn’t declare the attacker a friend. It pushes you to dig, to search for a point of contact, to propose dialogue. Responding with your own negativity — “I’ll destroy him” — forges one more link in a chain of reciprocal violence. Nonviolence, Drago writes, is precisely the breaking of that chain, and Freud’s negation shows where to make the first cut: in thought itself.

Do Two Negations Always Make an Affirmation?

“Two negatives make a positive.” We’ve all heard the rule. Is it always true? No — and the exceptions carry enormous weight.

Take a courtroom. A judge acquits a defendant for “insufficient evidence of guilt.” Two negations sit inside that phrase, yet the verdict does not affirm the defendant’s honesty. It says the court couldn’t gather enough proof to decide either way. During Italy’s Tangentopoli corruption scandals, politicians loved the line “nobody has proof of my guilt” — a sentence the public, applying the usual rule, misread as a declaration of innocence.

Mathematical logic caught up with this intuition in the second half of the twentieth century. Researchers established that logic itself is not unique. There is classical logic, where True and False stand in mirror opposition and a double negation returns you to the starting point. And there are non-classical logics, where True and False are not sharply opposed, and two negations do not add up to an affirmation.

Even better: logicians found a clean way to tell the two families apart. The dividing line is the law of double negation itself.

When two negations affirm, you’re reasoning in classical logic. When they don’t, you’ve entered a different intellectual world — one with its own rigorous rules.

Is “Nonviolence” Itself a Double Negation?

Now look closely at the word “nonviolence.” Gandhi disliked it and searched for a substitute — it felt too close to passivity. The Italian philosopher Aldo Capitini (1899–1968), often called the Italian Gandhi, was bothered by that initial “non,” which smelled of confrontation to him.

Both, Drago argues, missed something. Compare two phrases. “Don’t eat”: eating is positive, so this is a single negation, a plain prohibition. “Don’t do violence”: violence is already negative, so the phrase carries two negations. “Nonviolence” is a double negation in disguise.

And do those two negations affirm? They don’t. No affirmative word can replace “nonviolence” while preserving its meaning. Even Gandhi’s own coinage, Satyagraha (“firmness in truth”), says less than the double negation does. Precisely by affirming nothing, “nonviolence” pushes us to search.

Drago offers a beautiful test case. Mexican activists translated “nonviolence” as “It is possible!” — a courageous cry in front of a brutal dictatorship. Yet the affirmative form has a hidden weakness: it implies the way out already exists, that someone has found it, just not me. That thought can breed discouragement. The doubly negated version — “It is not impossible!” — hits differently. It involves you directly, even when nobody yet sees the exit. It expresses the creative spirit of nonviolence: the search for something not given in advance.

Capitini, for his part, left us a precious clue. In a desperate conflict, he said, the nonviolent person must bring an “addition” — a smile, a generous or simply unexpected act that reopens the situation. Drago found that very word, with that very role, inside science: in the analysis and mechanics of Lazare Carnot and in Galois’s group theory. The infinitesimal — the boldest invention in the history of mathematics — is itself defined by a double negation: “the number that has no smaller numbers.” Our translation, like the other quotations in this article rendered from Drago’s Italian text.

Did Gandhi Reason in a Different Logic?

For roughly thirty years, Drago has examined scientific and literary texts through this lens. His most recent test subject: Gandhi himself, and specifically Hind Swaraj — the 1909 pamphlet the British kept banning, the “little red book” of the Indian revolution.

Drago admits he expected a muddle. Gandhi never grasped the logical structure of the word “nonviolence,” and Indian tradition happily blends many ways of thinking. Instead, the chapter on “passive resistance” turned out to reason coherently in non-classical logic — double negations everywhere, and conclusions drawn by reductio ad absurdum, the argument form that rigorous non-classical reasoning requires.

A few examples from the pamphlet’s pages 91–95, as cited by Drago: “If the history of the universe had begun with wars, not a single man would be alive today.” “He who wounds by the sword perishes by the sword.” “Do you believe a coward could ever disobey a law he dislikes?” Each argument runs its opponent into an absurdity instead of asserting a positive certainty.

The implication is striking. When Gandhi took the Sanskrit word ahimsa — “do no harm,” another double negation — and set it at the foundation of religion and politics, he wasn’t just launching a political revolution. He taught the world to reason in a direction entirely different from the Western one. His actions looked stupefying to observers, Drago suggests, exactly since those observers were still thinking in classical logic.

Is Physics a Violent Science?

Here’s where our story turns toward home ground: physics. Don’t worry — high-school physics only, and a single example. The first principle of mechanics, the principle of inertia.

Newton states it in the Principia (London, 1687, p. 10): every body at rest, or in uniform straight-line motion, perseveres in its state until a force changes it. We’ve all repeated it without a flicker of doubt. Drago asks us to slow down and actually read it.

First, “every body.” Experimental physics never works with “every body”; it works with this body, on this bench. A claim about all bodies everywhere sounds less like physics and more like metaphysics. Second — and this is the heart of it — “perseveres.” Perseverance belongs to morality. A stone is inanimate. How can it persevere?

There is another way to say the same physics. Lazare Carnot — geometer, mathematician, physicist, organizer of France’s mass conscription and architect of the defensive victory of 1793 — wrote in his Principes fondamentaux de l’équilibre et du mouvement (Paris, 1803, p. 49): once a body is at rest, it does not move by itself; once it is in motion, it changes neither speed nor direction by itself.

Same physics, different words — and the difference is not cosmetic. “Change” and “move” are the negative words of theoretical physics: a change demands an explanation, poses a problem, challenges the physicist. Carnot’s version is built from two doubly negated sentences. Try to collapse them into their affirmative equivalent and what do you get? “Perseveres.” Newton’s word. The double negations are not equivalent to the affirmation — the affirmation smuggles in moral, metaphysical language that doesn’t belong to physics. Two logics, two entirely different foundations for the same first principle.

To be clear, and Drago insists on this: nobody is disputing experimental laws like the fall of heavy bodies. The target is the ideological framing wrapped around those laws — the framing that quietly steers everything else.

Why Does Nobody Notice the Crack?

Mathematics, Drago answers. Physics presents itself in mathematical dress, and that dress silences every outsider who doesn’t speak the language. Whoever does learn it must memorize abstract formulas — like Newton’s — while forgetting the concrete.

D’Alembert (1717–1783) captured the attitude perfectly. To a friend hesitating over infinitesimals, he said: “Calculate, and faith will come!” The calculations work out, and for students dazzled by physics, that’s enough. Nobody asks about the premises. Have we ever actually held an infinitesimal in our hands?

One scholar spotted the weakness a century ago. In The Metaphysical Foundations of Modern Physical Science (1925), Edwin Arthur Burtt wrote — in Drago’s citation — that scientists purged science of metaphysics as far as they could, then used the little metaphysics that remained as the keystone for interpreting the universe.

“The truth is the whole. To have a piece of the truth is to have no truth at all. To take the piece for the whole is to lose the whole.” — Lanza del Vasto, The Four Scourges (1959), our translation

What Makes a Science Culturally Violent?

Peace researcher Johan Galtung distinguishes three types of violence: direct (personal), structural, and cultural — where cultural violence is what justifies the structural kind. Drago pushes the idea one step further: cultural violence reaches its maximum when it monopolizes truth.

History offers grim precedents. The eleventh-century Church monopolized spiritual life — recall the persecutions of Peter Waldo for reading the Gospel in the vernacular, of Fra Dolcino, Giordano Bruno, Savonarola, Joan of Arc. The Peace of Westphalia (1648) codified cuius regio eius religio: one nation, one religion, outsiders excluded. The USSR forced people onto a single track of social life in the name of proletarian progress. The philosopher Paul Feyerabend drew the parallel explicitly, comparing the Church’s violence over spiritual life to science’s violence over intellectual life.

Where does dominant science fit this pattern? Drago’s charge has two parts. First, its founding statements don’t always match the facts: no experiment shows a body “persevering,” and no experimenter handles “every body.” A science that is abstract at its roots keeps presenting itself as concrete — which is why the chemist Venel, writing the “Chymie” entry of the French Encyclopédie in 1754, protested that physicists “tell novels.”

Second, more than two centuries after Carnot, textbooks still present Newton’s formulation as the only valid one. Presenting a partial picture as the whole — and not even the version best suited to experimental method — is, for Drago, a deliberate act of cultural violence. It channels every mind down a single track: the rationality of classical logic alone. From that single track flow justifications for every “inevitable” cost of progress — “there are no alternatives!” — and, downstream, structural violence (inflation crushing the poorest) and direct violence (killings in war).

Remember the physicist Antonino Zichichi requesting funds to seat East and West scientists at one table, so the most rational people alive could compute their way out of nuclear war? Calculemus — let’s calculate, and the conflict will dissolve. Dominant science offers itself to society as reason’s own insurance policy. Nonviolence works in the opposite direction: not calculations on paper, but the whole person engaged — the spirit in extreme attention to the other, the body in absorbing the blows that may come.

Which Comes First: Science or Morality?

If science contained one single truth, the question would be empty. But we’ve just seen a plurality inside science itself: two logics in mathematics, two formulations of the very first principle of the very first scientific theory. Choosing between them is a choice about science — so it can’t be a scientific choice. It’s a moral one.

Before doing science, we must choose. And choices of that kind belong to morality. Morality comes first; science comes second. With that, the hierarchy imposed by three centuries of triumphant science flips upside down. At the top now stands nonviolence as a moral commitment: resolving conflicts without doing violence to the other.

We won’t pretend every question is settled. Drago’s reading of Freud simplifies the original, as he acknowledges, and linguists still debate double negation. Complexity remains. That’s fine — it’s where thinking lives.

Our Closing Thoughts

Let’s gather the thread. Freud showed that a doubly negated sentence can open the door to a buried conflict. Logic showed that double negations mark the border between two rigorous ways of reasoning. Gandhi, without knowing the formalism, argued in the non-classical mode — and changed history. And inside physics itself, Carnot’s forgotten formulation of inertia proves that even our proudest science rests on a choice nobody told us we were making.

Next time someone tells you “there are no alternatives,” pause. Ask whose logic is speaking. The alternative may not be visible yet — but it is not impossible.

This article was written specifically for you by FreeAstroScience.com, where complex scientific principles are explained in simple terms. We wrote it with one goal: to remind you never to switch off your mind, and to keep it active at all times — the sleep of reason breeds monsters. Come back to FreeAstroScience.com soon; there’s always more to understand together.

— Gerd Dani, President of FreeAstroScience — Science and Cultural Group