Inevitably, you can go back afterwards and claim it wasn’t really a surprise in terms of the abstractions that seem so clear and obvious now, but I think it was surprised then
It seems like you are saying that there is some measure that was continuous all along, but that it’s not obvious in advance which measure was continuous. That seems to suggest that there are a bunch of plausible measures you could suggest in advance, and lots of interesting action will be from changes that are discontinuous changes on some of those measures. Is that right?
If so, don’t we get out a ton of predictions? Like, for every particular line someone thinks might be smooth, the gradualist has a higher probability on it being smooth than you would? So why can’t I just start naming some smooth lines (like any of the things I listed in the grandparent) and then we can play ball?
If not, what’s your position? Is it that you literally can’t think of the possible abstractions that would later make the graph smooth? (This sounds insane to me.)
It seems like you are saying that there is some measure that was continuous all along, but that it’s not obvious in advance which measure was continuous. That seems to suggest that there are a bunch of plausible measures you could suggest in advance, and lots of interesting action will be from changes that are discontinuous changes on some of those measures. Is that right?
If so, don’t we get out a ton of predictions? Like, for every particular line someone thinks might be smooth, the gradualist has a higher probability on it being smooth than you would? So why can’t I just start naming some smooth lines (like any of the things I listed in the grandparent) and then we can play ball?
If not, what’s your position? Is it that you literally can’t think of the possible abstractions that would later make the graph smooth? (This sounds insane to me.)