The kind of reasoning you are engaging in now was done by Descartes long ago, during Newton's time. It involves building up knowledge from the bottom up, starting with first principles. Descartes had some genuinely interesting ideas about how perfect concepts could be constructed. You can read his book on methods; they are remarkable, but they do not tell the whole story. Descartes himself made many scientific errors, despite his "perfect" and "rational" system for arriving at "true and sound conclusions." Popper's falsifiability is not the end-all-be-all of scientific thought either. Both Descartes and Popper do not represent the final word on what science is or should be.
Unlike Descartes, we observe real scientists supplementing rational ideas with empiricism—how actual people learn and think in their daily lives. How they go about life matters. Especially with Large Language Models, we see how essential a large knowledge corpus is for generating new variations. Marvin Minsky referred to it as "common sense," etc. It's important to remember that the concepts of "Expert systems" and "heuristics" did not work on their own back in the day (though they are not without utility in enhancing new methods).
Progress typically requires a societal-level effort in any field. It involves communication, challenges, numerous guesses, trial and error, and so forth. Therefore, the development of new ideas and the exploration of new frontiers are deeply interdependent at the civilization level.
In summary, I believe that "individualism" is incompatible with reality; the true nature of reality is "interdependence." Dependency is a fact of life. However, due to certain surface-level cultural ideas and the significance people attach to their self-importance, the unrealistic concept of "individualism" often prevails at the linguistic level over the more realistic idea of "interdependence."