Why science can answer some questions and not others is due to the extent of scientific research regarding all faculties of life. This plays a fundamental role in solving some of life's many mysteries. Some areas of research cannot be delved into due to lack of research materials, insufficient funding, not enough researchers in particular fields, inadequate resources, ethical issues or simply lack of education or background information in these areas giving rise to simplistic questions such as 'what is the function of the appendix' to more complex questions such as the cure to Parkinson's disease and whether the big bang was even true to begin with and if so what really initiated it.
From a religious standpoint, as humans, we are not fully aware of the
'schematics' of life and come across many unsolved mysteries which lay hidden with God alone as we are merely but creatures of the Almighty. Knowledge is a beautiful gift from God and all the answers of the heavens and the earth are known by God alone who chooses to bless us with some of the information such as basic survival skills to cures for common diseases and illnesses to understanding how life works as a whole.
Everyone has a different opinion and interpretation.
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You can find a suitable resource for questions about medical science on sciencebasedmedicine.org/nine-questions-nine-answers/
Some questions that science can't answer include questions about subjective experiences (e.g., the nature of consciousness), questions about morality and ethics (e.g., what is right or wrong), questions about purpose and meaning in life, and questions about the existence of God or supernatural phenomena. These are philosophical or metaphysical questions that fall outside the scope of scientific inquiry.
Science is concerned with objective reality, therefore it does not answer subjective questions, vaguely worded questions, or meaningless questions.
It is important because investigations help solve questions. For example, I do research to answer some questions.
it depends on the question because some questions are unknown or don't have any scientific proof to answer your question