Is there a stritcly objective difference between definitions and postulates?

41 Views Asked by At

I am reading the incredible Greenberg(2008, Euclidean and Non-Euclidean Geometries)' book. I am not a mathematician. My doubt is the following: is there an objective difference between definitions and postulates? It seems to me that the difference is merely conventional, not strictly objective. Am I wrong? Please, I would like to know what mathematical-minded people think about that.