Second Half of the Chessboard
In exponential processes, most of the visible outcome arrives in the final iterations. Early progress therefore reveals little about the eventual scale, even though each iteration is building the base for the next.
A compounding process can complete many iterations while still hiding most of its growth: the last few iterations produce the bulk of the outcome.
E1Each round enlarges the next
Compounding does not add the same amount each time. Every iteration acts on a larger accumulated base, so the absolute gain keeps increasing even when the underlying rate stays unchanged. This back-loading creates the āsecond half of the chessboardā: the early rounds establish the base, while the later rounds deliver most of the visible effect. Exponential Growth Bias makes this especially deceptive because intuition expects equal steps to produce roughly equal gains.
E1First establish that it compounds
The chessboard lens applies only when gains feed into subsequent gains. If the process merely adds a fixed amount each round, there is no reason to expect the outcome to be concentrated in the final iterations.
Inspect the growth rule before judging the result
When evaluating slow-looking progress, write down what each new iteration acts upon. If it acts on the accumulated result rather than a fixed starting amount, judge the process by its compounding rule and remaining iterationsānot by how small its early output looks.
Episodes that teach this
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Compounding Beyond Money š§ - The Power of Compounding Explained - FutureIQ
· explained at 5:41
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"Most of the growth happens in the last few iterations" and Kurzweil calls it "the second half of the chessboard problem."