There are many synonyms for the term "ex-postulates," which refers to statements or assumptions made after an event has occurred. Other phrases that can be used in place of "ex-postulates" include "post hoc observations," "retrospective conclusions," "after-the-fact assumptions," or "hindsight opinions." Each of these phrases conveys the same idea of making judgments or claims about an event that occurred in the past. While these types of statements can be helpful in understanding what happened, they should be taken with a grain of salt as they are only based on observations of what has already transpired and may not hold up under further scrutiny or analysis.