This brief and simplified discernment is to further elaborate and complement the following presentation https://www.youtube.com/watch?v=o7WRoQZAKfs:
One should be cautious about using the word or verb "prove" in the scientific content and context for the following main reasons:
1.0 "Prove" implies certainty which implies objectivity which implies empirical data which implies observable realm and world which implies mainly perception. And therefore, left out the subjectivity, subtle and hidden or unobservable realms and worlds, and not just the human perception but also experience through nature process of being and becoming https://www.epistemologyontologyfoundationinstitute.org/nature-of-reality-and-truth/on-mind-and-matter.
2.0 Life and existence are composed of dynamic, interdependent and interconnected, and transformative parts, realms and worlds, and sum of parts, realms, and worlds. And which make up the greater whole.
3.0 The whole is far greater than all sum of its parts.
However, it could be considered as reasonable when the verb proof is used for specific aspects of an entity or part for which all essential empirical data are available. And as well as not dependent on any other parameters or epistemology) For examples. For examples:
1.0 One can prove that DNA, RNA, and protein are elements of the genome. However, if the word is used to say that life and existence can be proven then this would be totally unreasonable since all parts, realms and worlds, and the whole are not known and empirical data have not been achieved. Furthermore, the whole is far greater than sum of its parts. In other words, even if all parts are known does not mean the whole can EVER be known since parts and their sum are not only interdependent and interconnected but also interactively dynamic and transformative.
2.0 In mathematics, in particularly pure mathematics, there are theorems and theories which are objective. And therefore could be made specific and certain. And as such, theorems can be proven to become theories.
And which is why, the development and practice of "Wholism Realism" would be meaningful and transformative as had inspired and encouraged in diverse ways in past discernments such as most recent https://www.epistemologyontologyfoundationinstitute.org/philosophy-and-science-beyond-the-macro-world/on-realism, https://www.epistemologyontologyfoundationinstitute.org/nature-decode/on-wholism-realism-or-epistemology-and-ontology, and https://www.epistemologyontologyfoundationinstitute.org/nature-decode/may-06th-2019.
Epistemology of Life and Ontology of Existence Foundation and Institute