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Religion hinges upon faith, politics hinges upon who can tell the most convincing lies or maybe just shout the loudest, but science hinges upon whether its conclusions resembe what actually happens.
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Ian Stewart
#Lying
#Science
#Conclusion
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If our brains were simple enough for us to understand them, we'd be so simple that we couldn't.
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Ian Stewart
#Simple
#Brain
#Enough
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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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Ian Stewart
#Beautiful
#Education
#Math
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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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Ian Stewart
#Technology
#Ideas
#Simplicity
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There are 10 kinds of people in the world: those who understand binary numerals, and those who don't.
--
Ian Stewart
#People
#World
#Linux
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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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Ian Stewart
#Beauty
#Art
#Views
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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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Ian Stewart
#Believe
#Reality
#Needs
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Chaos is lawless behavior governed entirely by law.
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Ian Stewart
#Freedom
#Law
#Liberty
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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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Ian Stewart
#Education
#Teaching
#School
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First is first, and second is nowhere.
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Ian Stewart
#Running
#Firsts
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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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Ian Stewart
#Lying
#Reality
#Mind
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During the past fifty years, more mathematics has been created than in all previous ages put together.
--
Ian Stewart
#Past
#Discovery
#Years
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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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Ian Stewart
#Butterfly
#Wings
#Atmosphere
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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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Ian Stewart
#Beauty
#Art
#Block
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Two centuries ago Carl Friedrich Gauss, one of the greatest mathematicians and a founder of number theory, described his brainchild as "the queen of mathematics." Queens are regal, but they are also largely decorative, and this nuance was not lost on Gauss.
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Ian Stewart
#Beauty
#Art
#Queens
