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Tag Archives: mathematics

The work habits of highly successful mathematicians, mostly to make you feel bad about your day today

On any given day, Huh does about three hours of focused work. He might think about a math problem, or prepare to lecture a classroom of students, or schedule doctor’s appointments for his two sons. “Then I’m exhausted,” he said. “Doing something that’s valuable, meaningful, creative” — or a task that he doesn’t particularly want to do, like scheduling those appointments — “takes away a lot of your energy.” To hear him tell it, he doesn’t usually have much control over what he decides to focus...

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Calculus for Economists

Gabriel Sterne complains about economists' loose use of mathematical terminology: Of course, it's not just economists who use "increase" and "accelerate" interchangeably. But economics is a mathematical discipline, and in mathematics, "increase" and "accelerate" mean different things. So is Gabriel's observation true, and if it is, is it a problem?To test Gabriel's hypothesis, I ran a little Twitter test. I asked this question: This was of course far from rigorous: the sample was...

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Probability for geeks

The Lightning network is being touted as the solution to Bitcoin's scaling problems. If lots of transactions can be taken off the main chain, the thinking goes, then Bitcoin can still take over the world despite its considerable performance problems. Lightning enthusiasts say that when fully enacted, the network will be able to process millions of transactions at, er, lightning speed, without compromising decentralisation, security or transparency.But there are dissenting voices. For...

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Calculus for journalists

“What do they teach them at these schools?” wondered the Professor in C.S. Lewis's The Lion, the Witch and the Wardrobe. The Professor, of course, was concerned about logic. But I wonder too - not about logic, but about maths. Especially among journalists writing about life expectancy and other long-term trends.Here is the FT proclaiming "Average life expectancy falls". This is the headline for a chirpy piece about how reduced life expectancy could make things easier for pension funds...

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No, please don’t show me your model

Unsurprisingly, on my post "The Art of Economics", which attempted to put the mathematical models beloved of mainstream economics firmly in their place, is a comment defending mainstream mathematical models. Here it is, in part: Secondly, you definitely don't need obscure heterodox models to predict a financial crisis. I've cited it before, but for instance Kiyotaki-Moore basically sketches out how a crisis like this can occur. There are actually plenty of examples of perfectly fine...

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The art of economics

Over at Bloomberg View, Noah Smith has a pop at what he calls “heterodox economics”. By this he means the new ideas in economic thinking that have sprung up since the 2008 financial crisis but so far haven’t made it into mainstream economic journals.Noah starts by admitting that mainstream economics abjectly failed to predict the crisis and gave little or no guidance on how to deal with it. Because of this, according to Noah, “many people have looked around for an alternative paradigm --...

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