In my previous post I suggested a way in which an online system of submitting and commenting on papers might perhaps work better than our current system of journals, editors and anonymous referees. I am very grateful to all who commented, both positively and (more often) negatively. It has given me a lot to think about. One thing that I wasn’t expecting, but should have expected, was that a number of people just plain don’t like the idea of an online alternative, regardless of the rational arguments. I don’t mean that there aren’t arguments to back up the dislike — merely, that I think that there is a dislike there, which becomes an argument in itself, since if many people have an emotional reaction against a new system, then that makes it less likely that the system will be adopted by enough people to become as officially recognised as the journal system. To avoid misunderstanding, let me stress that I’ve got nothing against emotional reactions, as long as they are backed up with arguments; and in the comments on my previous post they have been. Indeed, the arguments against various aspects of what I suggested have caused me to realize that there are some disadvantages I didn’t think of and others that I underestimated.
In this post, I want to summarize the points made in the comments (for the benefit of anyone who is interested in what was said but doesn’t have time to read through them all), and then make a second suggestion, which I think deals with a number of objections to the first. As with the first, I don’t see the details as set in stone. I think it’s an improvement on the first, but doubtless it can itself be improved on. Whether it reaches the level where one should actually consider trying to implement it is of course quite another matter. But I do think that these issues should be discussed: if we were designing a system from scratch for disseminating and evaluating mathematical output, I don’t think we would come up with the current journal system, though of course that’s not the situation, and historical accidents often result in quite good ways of doing things.