I'm not sure whether weighing evidence differently is a separate possibility, or whether the idea that belief based on evidence is a multi-valued function is supposed to represent that same thing.Marcus wrote: ↑Mon Aug 28, 2023 7:09 pmAlso, you are assuming that grains are evaluated on their actual content. Many mopologists admit quite freely that the conclusion they are looking for is the same as their (non-negotiable) starting assumption. Adding or subtracting grains is irrelevant if the grain is mis-interpreted, ignored, or arbitrarily devalued based on the requirement that it must support one's starting position.
At least up to a point, I think that just having two belief curves could indeed represent the subjective weighing of evidence. The number of grains could be considered an objective fact, corresponding to how much net evidence, (somehow) objectively weighed, one has seen. How it is subjectively by each person weighed would then be their belief response. If you have this kind of "heapsteresis" response, then once you've decided that the pile is a heap and switched to the upper curve, your perception that it is a heap is hardly affected at all by reducing the number of grains, even though before you switched into heap mode you were confident that those same lower numbers of grains were not heaps.
I'm not completely sure that one can absorb the weighing of evidence into belief-in-response-to-evidence in that way. Conceivably there is some important way in which the two processes are independent. I'm inclined to try to go with the simple 2D graph as a model for as long as we can, though.