Dear Heinz,
Thank you very much for reading and commenting.
> you don't show why this situation [that we are somehow caught in our private worlds] does not degenerate to solipsism.
Well, we are somehow caught in our private worlds, but I didn't intend to address solipsism. I didn't consider it necessary, because I don't propose that only the subjective exists. I don't reject for example the fact that we can know something about the "objective" world, I just explain that what we can know about it are just relations, not the relata. In particular scientific knowledge is of this kind. And since this is independently verifiable, as I explained in the essay and more in my longer essay, clearly I didn't propose that only subjectivity exists. But if you think that I missed something and there is a danger of solipsism in my essay, you are welcome to explain.
On the other hand, on a funnier note, I think it doesn't hurt to reexamine the possibility of solipsism once in a while, rather than taking by default the position that it is absurd. We spend a lot of our time asleep and dreaming. It's a good point to ask ourselves once in a while if the people with whom we interact are independent sentient beings, or just figments of our minds. This may be useful in a nightmare for example, because it can allow us to wake up or to take control of the dream. Or even just to have a lucid dream, for fun, self-exploration, or preparation for a future event by "simulating" it in the dream. Taking the default position that solipsism can't be true makes us more prone to take seriously whatever bad characters we meet in our dreams, and suffer in that illusion instead of enjoying it by taking control. Other things that help this consist in looking for inconsistencies. The habit of observing inconsistencies helps us get lucid in our dreams.
Another point from the comparison with the dreams is the following. Suppose we have an argument against solipsism. If we apply it to a dream, it should not work, because, well, the other people in the dream are not real. But for an argument to work in some instance and not work in another one, there should be a difference between the two situation. If the dream is self-consistent like the reality is, what difference would be? So, my claim is that the only difference you can notice by passive observation is one of consistency (you can also actively make experiments in the dream, e.g. trying to do things that are impossible in reality, which in general break the self-consistency of the dream). This means that no refutation of solipsism can do better than checking the consistency. Or, in my essay, I didn't reject the consistency of the world, I even took it as a principle. Being trapped in our minds doesn't lead by itself to solipsism any more than being trapped in the house.
> Further, isn't sentience a high level (reflective) idea over the immediate experiences of an observer? Can a reflection be foundational?
Well, what I understand by "sentience" in my essay is "what makes experience possible", or "the irreducible part of consciousness". I tried to explain it more in my longer essay, where I "defined" it like
Nondefinition 1. In the following, I will call sentience the ingredient that makes experience possible. Whatever this ingredient may be, I'll not try to define it.
So I don't understand by sentience "a high level (reflective) idea over the immediate experiences of an observer". If you categorize it as "reflection", of course it can't be foundational. But I don't do this. It's a category mistake to identify what I mean by "sentience" with what others, who use it as a "reflective idea", mean. I had to use a word, some use "consciousness", but this indeed is in large part reflective. Rather than inventing a new word, I repurposed "sentience", and explained what I mean by it.
Thanks again.
Cheers,
Cristi