Judea Pearl provides the first good response I have ever heard to Cosma Shalizi's priceless anti-Bayesian rant: Cosma Shalizi (2016): On the Uncertainty of the Bayesian Estimator: "I hardly know where to begin. I will leave aside the color commentary. I will leave aside the internal issues with Dutch book arguments for conditionalization. I will not pursue the fascinating, even revealing idea that something which is supposedly a universal requirement of rationality needs such very historically-specific institutions and ideas as money and making book and betting odds for its expression..."
Judea Pearl: (2018): The Book of Why: The New Science of Cause and Effect (New York: Basic Books: 046509760X): "Belated awakenings of this sort are not uncommon in science. For example, until about four hundred years ago, people were quite happy with their natural ability to manage the uncertainties in daily life...
...from crossing a street to risking a fistfight. Only after gamblers invented intricate games of chance, sometimes carefully designed to trick us into making bad choices, did mathematicians like Blaise Pascal (1654), Pierre de Fermat (1654), and Christiaan Huygens (1657) find it necessary to develop what we today call probability theory. Likewise, only when insurance organizations demanded accurate estimates of life annuity did mathematicians like Edmond Halley (1693) and Abraham de Moivre (1725) begin looking at mortality tables to calculate life expectancies. Similarly, astronomers’ demands for accurate predictions of celestial motion led Jacob Bernoulli, Pierre-Simon Laplace, and Carl Friedrich Gauss to develop a theory of errors to help us extract signals from noise. These methods were all predecessors of today’s statistics...
#shouldread
#probability
#cognition
