There are several synonyms for the phrase "admitting of decision." These include conclusive, decisive, definitive, determinate, settled, and resolved. These words suggest that the matter at hand can be determined or settled with finality, indicating that there is no question about the outcome. In legal contexts, admitting of decision may refer to a case or situation that can be resolved through a court decision or other legal process. However, the phrase can also apply to other types of problems or decisions that can be definitively resolved through careful consideration or analysis of the facts and circumstances. Ultimately, admitting of decision implies that there is a clear path forward and a definitive resolution can be reached.