The Use of Math in Real World and Abstract Thinking

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The use of math in the real world involves identifying recurring patterns, abstracting away irrelevant details, describing the pattern using math, manipulating the math to prove new things, making predictions or generalizations, and then checking these predictions against the real world. Mathematicians focus on thinking abstractly and discarding unimportant details. The magic lies in finding the same abstraction in different settings, allowing the work to apply to many different scenarios.

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How can we have System-2-type reflection but with System-1-type speed? How can math be considered to be a "fast" way of solving problems? Is math discovered or invented? How can we use math to think better in everyday life? How can math education be improved? Do mathematicians have a snobbish preference for "pure" maths over applied maths? How can math be used to tell stories?

Marcus du Sautoy is the Simonyi Professor for the Public Understanding of Science and Professor of Mathematics at the University of Oxford. He is author of seven books including his most recent book, Thinking Better: the Art of the Shortcut. He has also published a play, I is a Strange Loop, which was performed at the Barbican in London in which he was also lead actor. He has presented numerous radio and TV series including a four-part landmark TV series for the BBC called The Story of Maths. He works extensively with a range of arts organisations bringing science alive for the public from The Royal Opera House to the Glastonbury Festival. He received an OBE for services to science in the 2010 New Year's Honours List and was made a Fellow of the Royal Society in 2016. Follow him on Twitter at @MarcusduSautoy or find out more about him at www.simonyi.ox.ac.uk.

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