We should take into account the costs to a scientist of being wrong. Assume that the first scientist would pay a high price if the second ten data points didn’t support his theory. In this case he would only propose the theory if he was confident it was correct. This confidence might come from his intuitive understanding of the theory and so wouldn’t be captured by us if we just observed the 20 data points.
In contrast, if there will be no more data the second scientist knows his theory will never be proved wrong.
We should take into account the costs to a scientist of being wrong. Assume that the first scientist would pay a high price if the second ten data points didn’t support his theory. In this case he would only propose the theory if he was confident it was correct. This confidence might come from his intuitive understanding of the theory and so wouldn’t be captured by us if we just observed the 20 data points.
In contrast, if there will be no more data the second scientist knows his theory will never be proved wrong.