This is the lesson we learned with optical illusions, and it is the fundamental lesson of inductive reasoning as well: our mistakes are part and parcel of our brilliance, not the regrettable consequences of a separate and deplorable process. Our options in life are not careful logical reasoning, through which we get things right, versus shoddy inductive reasoning, through which we get things wrong. Our options are inductive reasoning, which probably gets things right, and inductive reasoning, which—because it probably gets things right—sometimes gets things wrong. In other words, and
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