How inclusive (or not) is science? Is the scientific method the only valid approach to answer research questions in the pursuit of new knowledge? Can art and science merge together in the development of better worldviews?
Perhaps we might view inclusivity in science as a spectrum and some disciplines are more inclusive than others. From this perspective, it seems like the epistemology depends on the scholar's ability to convince other scholars of the validity of their results/findings, especially the referees/reviewers. Regardless, some are likely to suggest that their discipline is excessively rigid while others may argue it is too flexible.
Kuhn and Feyerabend both say that knoweldge is grounded in the discourse - i.e. as Rob Catlett said - the ability of the scholar's ability to convince other scholars of the validity of their results.
Paul Feyerabend Against Method
Thomas Kuhn - Structure of Scientific reviolutions.
I'd also recommend Motterlini's book on Feyerabend adn Lakatos - as well as Lakatos' work.
"Is the scientific method the only valid approach to answer research questions in the pursuit of new knowledge?"
No. Science has a prescribed method or methods of generating new knowledge which is really on geared to understanding the physical world. Even then, in the depths of the theoretical studies, such as quantum physics, we do not truly know if it is correct or not. It does provide working hypothesis, but human beings have no way of knowing the 'truth'. The we come to the conclusion of astrophysics that "dark matter" must exist .. Really??? A type of 'matter' that has no other property of matter than gravity?
Much of this deeply theoretical knowledge is beyond human experience.
Science can also never create new knowledge of the social world. Unfortunately, Science claims a privileged position in world knowledge as the 'most rigorous' discipline, so some researchers in the social sciences aim, falsely, for a rigorous position similar to science.