I don't know if this is going to speak to many here, I hope it does, but it's good anyway in the process of trying to understand what dialectical science would look like, as opposed to our current outlook on science which is metaphysical.
By which I don't mean the scientific method, or scientists themselves, but science as a whole and as itself. If we hold that it doesn't exist outside society (and of course it doesn't), then science has a philosophical character. Metaphysics being the contradiction to dialectics, it's also not the philosophy of the bourgeoisie but rather the philosophy that was the most advanced, the most usable for people's needs, before we discovered dialectics. Much like we first learned to make stone tools before we learned to make them with metal, we first had to know metaphysics and idealism before we could know dialectics and materialism.
Today, science is taught metaphysically; it is seen metaphysically, it's practiced metaphysically, and we take that as fact. We have trouble seeing science any other way because this way makes sense to us, it's all we know.
If you were already aware of this character (studying in isolation, with observations and facts plucked out of their dialectical process and studied by themselves), this question should make sense to you. How do we rethink science in a way that is dialectical. Basically, in a way that we are still doing and studying science, but dialectically?
And of course I don't mean generalities like "it would be placing dialectics back in science", I want to see how far we can struggle with it.
My experience as a scientist is that to do good science, you need to be thinking dialectically. I think a lot about why more scientists are not Marxists; people who are good at thinking about the interconnectivity and changing nature of things in their science turn to eclecticism in their political beliefs/philosophy. Part of this is that I think we treat science and politics as such disparate things that must never interact.
A lot of the "business" of science is very undialectical, and that's where you see the failures of the field manifest. For example, assessment of a scientist's contributions based on first authorship, journal prestige, etc, encourages bad practices with respect to collaboration and sharing results.
Already we have in the practice of science the prototype for all human action. The task which the scientists have undertaken — the understanding and control of nature and of man himself — is merely the conscious expression of the task of human society. The methods by which this task is attempted, however imperfectly they are realized, are the methods by which humanity is most likely to secure its own future. In its endeavour, science is communism. In science men have learned consciously to subordinate themselves to a common purpose without losing the individuality of their achievements. Each one knows that his work depends on that of his predecessors and colleagues and that it can only reach its fruition through the work of his successors. In science men collaborate not because they are forced to by superior authority or because they blindly follow some chosen leader, but because they realize that only in this willing collaboration can each man find his goal. Not orders, but advice, determine action. Each man knows that only by advice, honestly and disinterestedly given, can his work succeed, because such advice expresses as near as may be the inexorable logic of the material world, stubborn fact. Facts cannot be forced to our desires, and freedom comes by admitting this necessity and not by pretending to ignore it. These things have been learned painfully and incompletely in the pursuit of science. Only in the wider tasks of humanity will their full use be found.
Extremely well put. I personally always thought of science as evidence that the dialectical approach makes the most sense, so OP's question was hard for me to rationalize. To touch the moon we needed experts from almost every field to work together on a single goal. It doesn't really get more interconnected than that.