We don't have synonyms for postulates yet — it may be a rare, specialized, newly coined, or misspelled word. The closest thesaurus entries we have are postulate, postulatum and pustulate.
(n) :
Something assumed without proof as being self-evident or generally accepted, especially when used as a basis for an argument. Sometimes distinguished from axioms as being relevant to a particular science or context, rather than universally true, and following from other axioms rather than being an absolute assumption.
(v) :
To assume as a truthful or accurate premise or axiom, especially as a basis of an argument.
(n) :
Something assumed without proof as being self-evident or generally accepted, especially when used as a basis for an argument. Sometimes distinguished from axioms as being relevant to a particular science or context, rather than universally true, and following from other axioms rather than being an absolute assumption.
(v) :
To assume as a truthful or accurate premise or axiom, especially as a basis of an argument.