Axiomatize is a verb that means to treat something as an axiom or to reduce something to a set of fundamental propositions. There are many synonyms that can be used to convey a similar meaning to axiomatize. One of the most common is theorize, which refers to the process of devising or proposing a theory or system of ideas to explain something. Other synonyms include postulate, which means to assume or assert the existence of something without proof, and systematize, which means to arrange something in a systematic or orderly way. Other related words include formalize, codify, and rationalize. Overall, there are many different ways to express the concept of axiomatize, depending on the context.