“The shortcut [for a lack of ideas] is competition in the realm of computing power,” Yokoi explained. “When it comes to that . . . the screen manufacturers and expert graphics designers come out on top. Then Nintendo’s reason for existence disappears.” He felt that the lateral and vertical thinkers were best together, even in highly technical fields. Eminent physicist and mathematician Freeman Dyson styled it this way: we need both focused frogs and visionary birds. “Birds fly high in the air and survey broad vistas of mathematics out to the far horizon,” Dyson wrote in 2009. “They delight in concepts that unify our thinking and bring together diverse problems from different parts of the landscape. Frogs live in the mud below and see only the flowers that grow nearby. They delight in the details of particular objects, and they solve problems one at a time.” As a mathematician, Dyson labeled himself a frog, but contended, “It is stupid to claim that birds are better than frogs because they see farther, or that frogs are better than birds because they see deeper.” The world, he wrote, is both broad and deep. “We need birds and frogs working together to explore it.” Dyson’s concern was that science is increasingly overflowing with frogs, trained only in a narrow specialty and unable to change as science itself does. “This is a hazardous situation,” he warned, “for the young people and also for the future of science.”
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Leonardo da Vinci’s science was grounded in the Aristotelian world. He developed a system of what he called the four powers of nature: movement, weight, force and percussion. While his ideas are archaic, he developed a coherent model for natural phenomena.
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Leonardo was self-taught. He didn’t go to school because he was born out of wedlock.
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