关键词: 公设化, 混沌, 非线性, 非连续性, 蝴蝶效应, 吸子

Abstract: There is an unwritten rule in science, indicates that physics is a concrete model and the primitive terms are objects and relations adapted from the real world. But, mathematics is an ideal model, that the primitive terms are objects and relations adapted from some other postulation development. Their characters are naturally different. As a result, physicists use observations, measurements, and experiments argue for these phenomena they found. While, mathematicians use deduction debate for their noumenas, [LL]the former is physical description, and the latter is the fact of substance. Trivial, this two kind knowledge have themselves inherent incompletion, and there is inconsistency trouble with them at the very initial stage, which continuous unlimited among their descendant subjects. Thus, those unsolved problems arise. For this reason, in this article, we base on the truth and through geometric structure of timespace and nature laws in universe which they followed, let the physics and mathematics consistency, and then those unsolved problems can be accomplished. Further for that, revealed a way to the axiomatisation of physics, eliminate the profoundly disturbing crises wherein the foundation of mathematics. 

Key words: axiomatisation, chaos, nonlinear, discontinuity, butterfly effect, attractor