Why Didn't the Industrial Revolution Happen in China? A Former Physics Student on the Crucial Difference Mathematics Made

“Why didn’t the Industrial Revolution happen in China?”

This famous question has been debated for many years in the history of science and economic history. It is known as the Needham Question.

Around 1,000 years ago, during the Song dynasty, China possessed some of the greatest economic and technological power in the world. Paper, printing, gunpowder, and the compass were all invented in China. Its ironmaking and agricultural technologies were also highly advanced.

Yet modern science emerged and the Industrial Revolution began not in China, but in Europe.

Why?

Economic historians have proposed many explanations, including resources, wages, institutions, and competition among states.

I am not an expert in economic history. But as someone who studied physics as a student, I have long had one thought about this question.

Could the crucial factor have been mathematics?

Technology and Science May Look Similar, but They Are Different

First, we need to distinguish between technology and science.

Put simply, technology pursues the question of how to make something work well.

Through repeated trial and error and the accumulation of experience, people can create excellent tools and machines.

China achieved extraordinary results in this area.

Modern science, on the other hand, aims at something slightly different.

It pursues the question of why something happens, expresses the mechanism as a universal law, and then describes that law mathematically.

If your only aim is to fire a cannon farther, for example, you can improve it through trial and error with the amount of gunpowder and the angle of the barrel.

But if you can describe the motion of objects mathematically, you can apply the same principle not only to a cannonball, but also to a thrown stone, a falling apple, and the motion of the planets.

That is the crucial difference.

Technology solves individual problems. Science explains different problems through the same laws.

And mathematics is their common language.

What Did Galileo and Newton Change?

Galileo left us with words to the effect that the book of nature is written in the language of mathematics.

To me, this is the essence of modern science.

Everyone knew that apples fell thousands of years before Newton was born. The movements of the planets had also been observed since ancient times.

Newton, however, explained the motion of objects on Earth and the motion of celestial bodies through a shared set of mathematical laws.

That was revolutionary.

Once natural phenomena can be described mathematically, we can use calculations to predict what will happen even under conditions that have not yet been tested.

And if the prediction is wrong, we can investigate where the theory went wrong.

Mathematics is not merely a tool for calculation. It is a language that converts ideas about nature into a form that anyone can test.

When you study physics, this realization sinks in deeply.

You may be able to explain a beautiful theory in words, but that alone does not make it physics. In the end, it must be expressed in equations and compared with observations.

Why Europe?

Why, then, did the idea of understanding nature through mathematics come to fruition as modern science in Europe?

Ancient Greece comes to mind here.

Ancient Greece had a mathematical tradition, exemplified by Euclidean geometry, of logically deriving conclusions from premises.

Something is not true merely because experience suggests that it is. You must logically prove why it is true.

Over a long history, this way of thinking became connected with the study of nature and produced major achievements in the age of Galileo and Newton.

Of course, China also had advanced mathematics. It achieved outstanding results in astronomy and calendar-making as well. It was not that China lacked knowledge of mathematics.

What I consider important is not the level of mathematics itself, but the fact that the ambition to explain every phenomenon in nature through a unified set of mathematical laws was placed at the center of scholarship.

The mathematical tradition of ancient Greece may have provided an important foundation for that ambition.

Economic History Would Probably Offer a Different Answer

I make a distinction here myself.

To begin with, the emergence of modern science and the beginning of the Industrial Revolution are not the same question.

The Industrial Revolution involved many conditions, including the availability of coal, the price of labor, the accumulation of capital, the size of markets, and political institutions.

Moreover, the earliest steam engines did not arise directly from advanced physical theory. They developed through the empirical improvements made by craftspeople.

We therefore cannot simply conclude that the Industrial Revolution happened because mathematics existed.

An economic historian would probably give a completely different explanation. Cultural history and institutional history would reveal different views as well.

What interests me, however, is a more fundamental question.

Why did humanity arrive at the strange idea of describing nature through mathematics?

And why did that idea develop into a system of knowledge powerful enough to change the world?

The Unorthodox Idea of Understanding the World Through Mathematics

When you think about it, the very idea that nature can be expressed mathematically is strange.

An apple falls. A river flows. The stars move.

Normally, we would not imagine that equations were hidden behind these phenomena.

Observe the phenomena in front of us, accumulate experience, and build useful tools. A civilization can develop quite far through that alone.

In Europe, however, after a long accumulation of philosophical thought, the method of decoding nature through mathematics became central to modern science.

I believe this shift may have been decisive.

Economic history would probably offer a different answer, and I do not believe the Industrial Revolution can be explained through mathematics alone.

Even so, from the intuitive perspective of someone who studied physics, I cannot help feeling that mathematics was the key.

For thousands of years, humanity observed nature and improved its tools. But only when we realized that the world itself could be written in equations did we become able to predict the workings of nature through calculation.

When you think about it, that is a very strange story.

Does the universe run on mathematics? Or can human beings understand the universe only through mathematics?

We still do not know the answer.

The one thing I do know is that the equations I struggled so hard to solve as a student were, in fact, among the greatest inventions ever to change human history.