Quotes About Convexity

The very sun of heaven seemed distorted when viewed through the polarising miasma welling out from this sea-soaked perversion, and twisted menace and suspense lurked leeringly in those crazily elusive angles of carven rock where a second glance shewed concavity after the first shewed convexity.

Learning is rooted in repetition and convexity, meaning that the reading of a single text twice is more profitable than reading two different things once.

The very idea of exercise is to gain from antifragility to workout stressors—as we saw, all kinds of exercise are just exploitations of convexity effects.

shows why the convex likes volatility. If you earn more than you lose from fluctuations, you want a lot of fluctuations.

Someone with a linear payoff needs to be right more than 50 percent of the time. Someone with a convex payoff, much less. The hidden benefit of antifragility is that you can guess worse than random and still end up outperforming. Here lies the power of optionality—your function of something is very convex, so you can be wrong and still do fine—the more uncertainty, the better.

or mistaking a profitable bet for good forecasting—not convexity of payoff and optionality).