Earlier quoted context omitted.
I don't buy the argument that "public" science is the only real science. You can define it that way, but I don't see any reason to. "Public" science is just a special case of "restricted" science, such that the set of people the knowledge is restricted to is equal to the set of all humans.
I think this might get philosophical quickly, but to really understand where you're at, you need to access all knowledge. Everybody is standing on the shoulder of giants. It's a collective effort that happens through socialization and long-standing institutions like universities. An essential part of doing science is sharing results and waiting for others to challenge, expand, or falsify them. If you skip this step,…
Let's say that there was a highly advanced civilization that existed way before the current civilized society. They performed scientific experiments and gained a lot of insight, but a catastrophical event erased them from the face of Earth together with all their knowledge.
Did that civilization engage in science?
If you think that they did, indeed, engage in science, then what is the difference between them and any other closed community that performs scientific experiments?
Or, if you think that they didn't, in fact, engage in science, then does that mean that science is only science if you and I, today, can gain access to the knowledge derived from the experiments? Therefore, science is defined by its utility to us?