Well, suppose cognitive power (in the sense of amount of cognitive work put unit time) is a function of total effort invested so far, like P=1-e^(-w). Then it’s obvious that while dP/dw= e^(-w) is always positive, it rapidly decreases to basically zero, and total cognitive power converges to some theoretical maximum.
Well, suppose cognitive power (in the sense of amount of cognitive work put unit time) is a function of total effort invested so far, like P=1-e^(-w). Then it’s obvious that while dP/dw= e^(-w) is always positive, it rapidly decreases to basically zero, and total cognitive power converges to some theoretical maximum.