"Categorically true" is a phrase that denotes statements that are undoubtedly accurate and without question or doubt. There are several synonyms that can be used to express the same meaning, including "unambiguously true," "unequivocally true," "incontestably true," "undeniably true," and "absolutely true." These phrases highlight the absolute certainty and unquestionable nature of the statement. Words like "definitively," "conclusively," and "unconditionally" can also be added to emphasize the finality and comprehensiveness of the assertion. These synonyms help to assert the authority and accuracy of a statement, ensuring that it is received and understood as the ultimate truth.