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To this end, we suggest 20 concepts that should be part of the education of civil servants, politicians, policy advisers and journalists — and anyone else who may have to interact with science or scientists. Politicians with a healthy scepticism of scientific advocates might simply prefer to arm themselves with this critical set of knowledge. We are not so naive as to believe that improved policy decisions will automatically follow. We are fully aware that scientific judgement itself is value-laden, and that bias and context are integral to how data are collected and interpreted. What we offer is a simple list of ideas that could help decision-makers to parse how evidence can contribute to a decision, and potentially to avoid undue influence by those with vested interests. The harder part — the social acceptability of different policies — remains in the hands of politicians and the broader political process. Of course, others will have slightly different lists. Our point is that a wider understanding of these 20 concepts by society would be a marked step forward.

Two years ago, in a small town in central Shanxi Province, I overheard two old farmers debating whether a bowl of rice or a steamed bun was more satisfying. As the argument became more heated, one farmer accused the other, without irony, of being a “metaphysicist.”Mao was skeptical of metaphysics and thus, over the years, it became a dubious concept, used in Chinese propaganda as a pejorative term. It’s fair to assume these two farmers didn’t know much about metaphysics, yet they were using the term as an insult, straight out of the party lexicon. Other phrases like “idealist” and “petit bourgeois sentimentalist” have become everyday terms of abuse, even when those who use them clearly have no real idea what they mean.

Number theory is a discipline done for no purpose. It is practiced by people who believe that numbers have properties that exemplify an orderliness and beauty in the universe. The story of numbers is a story of creation not directly contained in the Scriptures, but if a divinity didn’t create numbers and their properties, what accounts for them? The necessity of counting doesn’t entirely explain pi or primes. A breakthrough in number theory is called a discovery, not an invention. There isn’t yet any explanation for the properties of pi or for primes. There is only the sense of wonder that the world contains such extravagant mysteries so close at hand.

How quickly an element decayed and how it did so — meaning which of its component parts it shed — became the focus of researchers in radioactivity. Apart from purely scientific insights, there was a hope that radiation could lead to something marvelous. X-rays, a kind of radiation discovered by Wilhelm Roentgen and produced by accelerated electrons, had already been hailed as a major medical breakthrough and, in addition to showing doctors their patients’ insides, were being investigated as a treatment for skin lesions from tuberculosis and lupus. In her 1904 book “Investigations on Radioactive Substances,” Marie Curie wrote that radium had promise, too — diseased skin exposed to it later regrew in a healthy state. Radium’s curious ability to destroy tissue was being turned against cancer, with doctors sewing capsules of radium into the surgical wounds of cancer patients (including Henrietta Lacks, whose cells are used today in research). This enthusiasm for radioactivity was not confined to the doctor’s office. The element was in face creams, tonics, even candy. According to the Encyclopaedia Britannica article that Curie and her daughter wrote on radium in 1926, preliminary experiments suggested that radium could even improve the quality of soil.

These are broad brush strokes, but the research demonstrating the differences is remarkably robust and it shows that they have far-reaching consequences. The social psychologist Richard E. Nisbett and his colleagues found that these different orientations toward independence and interdependence affected cognitive processing. For example, Americans are more likely to ignore the context, and Asians to attend to it. Show an image of a large fish swimming among other fish and seaweed fronds, and the Americans will remember the single central fish first. That’s what sticks in their minds. Japanese viewers will begin their recall with the background. They’ll also remember more about the seaweed and other objects in the scene.Another social psychologist, Hazel Rose Markus, asked people arriving at San Francisco International Airport to fill out a survey and offered them a handful of pens to use, for example four orange and one green; those of European descent more often chose the one pen that stood out, while the Asians chose the one more like the others.