The term "non-subjectively" implies that something is not based on personal opinions or feelings. Synonyms for this term might include "objectively," which refers to an approach that is based on facts and evidence, rather than emotions or personal biases. Other synonyms might include "impartially," "unbiased," and "fairly," all of which suggest an approach that is free from personal perspectives or prejudices. Using these synonyms can help to emphasize the importance of taking an objective or impartial approach when evaluating or analyzing information, and can underscore the value of evidence-based reasoning in making decisions and reaching conclusions.