2.3. Curves and processes

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A cost-benefit curve characterizes the trajectory of performance and so

allows you to predict it. At the same time, the fact that a line connects two

points does not necessarily imply that there are mechanisms determining

arbitrarily selected values on the line. If it did, a cardinality argument

could be constructed that there are infinitely many mechanisms, or that

the mechanisms that exist are infinitely sensitive. And this is not a general

assumption we would want to embrace. But we can very roughly represent

the reasoning strategy’s performance in terms of a smooth curve as long as

the curve is a product of documented performance or outcomes, and we

have no reason to think that the reasoning strategy would exhibit wildly

discontinuous performances on some task.

A cost-benefit curve characterizes the trajectory of performance and so

allows you to predict it. At the same time, the fact that a line connects two

points does not necessarily imply that there are mechanisms determining

arbitrarily selected values on the line. If it did, a cardinality argument

could be constructed that there are infinitely many mechanisms, or that

the mechanisms that exist are infinitely sensitive. And this is not a general

assumption we would want to embrace. But we can very roughly represent

the reasoning strategy’s performance in terms of a smooth curve as long as

the curve is a product of documented performance or outcomes, and we

have no reason to think that the reasoning strategy would exhibit wildly

discontinuous performances on some task.