Dear Conrad,
I have finally managed to come back to your essay. Really interesting, and fluent to read, congratulations! And the basic idea, that of co-emergence of observers and contexts, is - I believe - a deep and crucial one. So I start by saying that I truly like your idea of contextuality, including the complementarity (and perhaps circularity) between the main characters exchanging information and the contexts in which they move. If I only managed to set the necessary and sufficient conditions that define contexts in specific situations, I would be able to make huge progress in many questions, including several of my ongoing research projects. I have been working on this front ever since last year's contest, and it has actually made a difference in the way I stand before my work. So thanks for that.
Now going to the details, there are two points that I am still pondering.
First, I am not sure that our universe needs to be exactly the way it is for it to "work". I do agree that a small change in fundamental constants would blow ourselves up. Yet, I do not see why perhaps a larger change of constants carefully tuned in some other region of parameter space could not give rise to some other interesting universe. One containing subsystems (as ourselves) that wonder about their ontology. They need not be based on the chemistry of carbon, they may well be completely different, as long as they have the enough complexity to have the feeling they exist. I have the impression, however, that the number of interesting universes is vastly smaller than the number of possible universes. Not that I have made the calculation, this is just an impression. But I am not sure we need to justify why things are exactly the way they are in order for existence to be possible. Maybe there is a certain range of alternatives. So when you say "I want to ask what it means - and what it takes - to be a foundation for a world like ours", I am not sure we should aim at exactly a world like ours, or to a somewhat broader set of worlds containing the interesting stuff. If we only aim at exactly our world, I fear we might be restricting ourselves to certain particular choices that are not actually fundamental. My project, however, requires us to define precisely what I mean by "the interesting stuff", or what you mean by "a world like ours". Which worlds are those?
Second, and assuming we already know which those worlds are, I would suggest to do the search in the opposite direction. Instead of starting from all possible universes and trim them down to get to our world, I would try to define the set of worlds we want to arrive at, and work backwards. Like those children puzzles that look like labyrinths with several entrances and one exit, where you have to draw the path that takes you from one entry to the exit. They are easier to solve backwards, because the problem has a definite target, but the starting position is undefined. The necessity of each decision thus becomes more evident, because an alternative decision would take us away from the target. I know this may well have been the path in which you thought your deduction, and then you wrote the final version in the forward direction. For me it would have been instructive to know your internal backwards process, so as to follow it more transparently.
This year I will be rating all essays at the end, because last year I was left with the sensation that my criterion evolved as time went by, and my marking was inconsistent. But rest assured you'll get a good one from me!
I've still not been through Marc's essay, but will do so very soon. See you there!
inés.