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Ian Stewart

Ian Stewart Books

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“Continuing to do research on genetic modification, and occasionally using successfully modified organisms for specific purposes such as the production of expensive drugs, make good sense. Helping developing countries to produce more food is a worthy aim, but it is sometimes used as an excuse for an alternative agenda, or as a convenient way to demonise opponents. There is little doubt that the technology needs better regulation: I find it bizarre that standard food safety tests are not required, on the grounds that the plants have not been changed in any significant way, but that the innovations are so great that they deserve patent protection, contrary to the long-standing view that naturally occurring objects and substances cannot be patented. Either it’s new, and needs testing like anything else, or it’s not, and should not be patentable. It is also disturbing, in an age when commercial sponsors blazon their logos across athletes’ shirts and television screens, that the biotechnology industry has fought a lengthy political campaign to prevent any mention of their product being placed on food. The reason is clear enough: to avoid any danger of a consumer boycott. But consumers are effectively being force-fed products that they may not want, and whose presence is being concealed. Our current understanding of genetics and ecology is inadequate when it comes to the widespread use of genetically modified organisms in the natural environment or agriculture. Why take the risk of distributing the material, when the likely gains for most of us – as opposed to short-term profits for biotechnology companies – are tiny or non-existent?”

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“In the rush to market, experiments have been carried out on a large scale in the natural environment, when controlled laboratory testing would have been far more effective and informative. The British Government sanctioned large-scale planting of genetically modified plants in order to test whether their pollen spread only a few meters (as expected) and to make sure that the new gene would not be spontaneously incorporated into other species of plants (ditto). It turned out that the pollen spread for miles, and the new genes could transfer without difficulty to other plants. Effects like this could, for example, create pesticide-resistant strains of weeds. By the time the experiment had revealed that the conventional wisdom was wrong, there was no way to get the pollen, or its genes, back. Simple laboratory tests – such as painting pollen onto plants directly – could have established the same facts more cheaply, without releasing anything into the environment. It was a bit like fireproofing chemical by spraying it on a city and setting the place alight, with the added twist that the ‘fire’ might spread indefinitely if, contrary to expectations, it took hold.”

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“The flapping of a single butterfly's wing today produces a tiny change in the state of the atmosphere. Over a period of time, what the atmosphere actually does diverges from what it would have done. So, in a month's time, a tornado that would have devastated the Indonesian coast doesn't happen. Or maybe one that wasn't going to happen, does.”

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“One of the biggest problems of mathematics is to explain to everyone else what it is all about. The technical trappings of the subject, its symbolism and formality, its baffling terminology, its apparent delight in lengthy calculations: these tend to obscure its real nature. A musician would be horrified if his art were to be summed up as "a lot of tadpoles drawn on a row of lines"; but that"s all that the untrained eye can see in a page of sheet music... In the same way, the symbolism of mathematics is merely its coded form, not its substance.”

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“Mathematicians need proofs to keep them honest. All technical areas of human activity need reality checks. It is not enough to believe that something works, that it is a good way to proceed, or even that it is true. We need to know why it's true. Otherwise, we won't know anything at all.”

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Book:Letters to a Young Mathematician
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“I don't want to convince you that mathematics is useful. It is, but utility is not the only criterion for value to humanity. Above all, I want to convince you that mathematics is beautiful, surprising, enjoyable, and interesting. In fact, mathematics is the closest that we humans get to true magic. How else to describe the patterns in our heads that - by some mysterious agency - capture patterns of the universe around us? Mathematics connects ideas that otherwise seem totally unrelated, revealing deep similarities that subsequently show up in nature.”

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“Our teaching of mathematics revolves around a fundamental conflict. Rightly or wrongly, students are required to master a series of mathematical concepts and techniques, and anything that might divert them from doing so is deemed unnecessary. Putting mathematics into its cultural context, explaining what is has done for humanity, telling the story of its historical development, or pointing out the wealth of unsolved problems or even the existence of topics that do not make it into school textbooks leaves less time to prepare for the exam. So most of these things aren't discussed.”

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“The power of equations lies in the philosophically difficult correspondence between mathematics, a collective creation of human minds, and an external physical reality. Equations model deep patterns in the outside world. By learning to value equations, and to read the stories they tell, we can uncover vital features of the world around us.”

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Book:Seventeen Equations that Changed the World
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“Mathematicians are beginning to view order and chaos as two distinct manifestations of an underlying determinism. And neither state exists in isolation. The typical system can exist in a variety of states, some ordered, some chaotic. Instead of two opposed polarities, there is a continuous spectrum. As harmony and discord combine in musical beauty, so order and chaos combine in mathematical [and physical] beauty.”

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“...a major triumph of mathematical imagination: the use of visual imagery to condense a large quantity of information into a single comprehensible picture... Mathematicians are just beginning to understand these basic building blocks of change and to analyze how they combine. The methodology involved has a very different spirit from traditional modeling with differential equations: it is more like chemistry than calculus, requiring careful counterpoint between analysis and synthesis.”

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“To criticize mathematics for its abstraction is to miss the point entirely. Abstraction is what makes mathematics work. If you concentrate too closely on too limited an application of a mathematical idea, you rob the mathematician of his most important tools: analogy, generality, and simplicity. Mathematics is the ultimate in technology transfer.”

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