In wikipedia we see that the words “axiom” and “postulate” are synonyms:
“An axiom, or postulate, is a premise or starting point of reasoning”.
But in A Friendly Introduction to Numerical Analysis we read:
“The axioms and postulates of the appropriate discipline(s) -be they from the physical, natural, or social sciences- are then used to develop a set of assumptions and a set of equations, known as a mathematical model, which will be used for subsequent analysis”.
Wikipedia used the “or” but the auther used the “and”. What is the difference between axiom and postulate?
It seems that axioms and postulates refer to the same thing. From Dictionary.com, definition 6 of postulate: