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HankP's avatar

I think the ideas of "cores" is far too reductive and obfuscates more than it illuminates, and is ridiculously Anglocentric. It completely misses major civilizations like the Islamic empires, the Indus valley, the American Mayans and Aztecs, and the African empires. The circles in 1800 and 1900 are also far too small, as they exclude Italy and Germany - Germany was the most scientifically advanced country in the world in 1900 and Italy produced Galileo, Volta, Avogadro and LaGrange among many others. So I'm not sure how useful the idea of "cores" are, and they're too subjective and ill-defined to build an argument on.

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Philip Koop's avatar

[if you must stop betting when your bankroll runs out]

You do not need to consider debt, or even the possibility of bankruptcy, to make Constantin's math work. Think of a geometric Brownian motion with mu < sigma^2 / 2, sigma > 0. The game will never end, you'll just spend eternity with wealth arbitrarily close to zero.

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