The question is about the philosophical paradigms that a thesis is based on and whether such paradigms should be clearly stated in the thesis.
If paradigms were a key influence how you choose your research methods, then you should describe that relationship.
I personally think that your research design (i.e., how you collect and analyze your data) is what matters most, rather than the abstract philosophy that you use.
As David L Morgan has rightly said, if your research philosophy significantly influenced your research methodology, then it is critical to throw more light on the paradigm. As a matter of fact, in some schools especially at PhD levels, you are required to state and explain the research paradigm you belong to and upon which your study is based. So, don't neglect it, especially if you are doing a PhD. Cheers.
Just to clarify my previous answer, I want to emphasize that research designs are what matter the most. In fact, I think that discussions of paradigms rely on an approach that is nearly 40 years old and greatly out of data. In actual practice, you can choose any research design you want, so long as it answers your research questions, without worrying about philosophical issues.
Agree with David, above, that research designs are what matter most---just do good research.
However, that said, I think that something of the paradigm---how she/he sees the world and the kind of knowledge to be gained from that perspective---that a researcher is working within, even if not overtly stated, will be detected in the paper.
I think that all researchers work to these paradigms though not all overtly ponder this, preferring to focus on research outcomes; while my own preference is to keep paradigm in mind even if not overtly stated.
Do what feels right for you.
I do think that "worldviews" in general matter, but I am not convinced that specific worldviews related to ontology and epistemology make much difference. If I am going to judge the quality of a study, the importance of the question and the appropriateness of the method are what matter to me, not some abstract assessment of "paradigm fidelity."
There is no explicit need to mention philosophical paradigms. However, the research design should reflect how your philosophical worldviews influenced your research approach. For a detailed understanding of this topic, please refer to Research Design Qualitative, Quantitative, and Mixed Methods Approaches by John W. Creswell and J. David Creswell. It is a phenomenal work for every PhD scholar.
Seems to me that researchers' worldviews only matter in terms of understanding 'where they're coming from' in pursuing a research project'; thus one can more adequately judge their research.
For instance, a researcher could be coming from 'this' position or 'that' position, and if a reader of their research paper misinterprets this, then they misinterpret the research.
I still say that what really matters is the clarity of the research question and the match to the research method. If you have that, you stay absolutely silent about any supposed philosophical commitments.
I think, the decision of whether to overtly present philosophical paradigms in a thesis depends on various factors, including the specific requirements and conventions of the field of study, the nature of the research, and the preferences of the thesis advisor or committee. However, it is common and often beneficial to explicitly discuss and present the philosophical paradigms that inform your research in a thesis in order to contextualize it, demonstrate theoretical grounding, facilitate critical analysis, and engage with scholarly discourse.
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