While I was reading the Wikipedia's article dedicated to Hilbert's problems I've known the so-called Hilbert's sixth problem from this page and the corresponding Wikipedia's entry dedicated to this problem that I've read.
Question. I would like to know a friendly introduction to Hilbert's sixth problem, in which you can do more focus about the meaning of the problem and the issues (I think about the axiomatization of the more relevant theories in physics); isn't required the history of the problem, nor status. Your introduction can be done from an informative point of view but adding those remarkable facts, formulas and reasonings if you want to exemplify some point. Many thanks.
Thus I am asking about an explanation from your words and knowledges, in a post as your answer.
If you need/want to enrich your explanation with some reference (preferably also with an informative spirit) add such references and I am going to search and read what I can from the literature.