In a nutshell, the Mathematics' method of discovering 'things' is an "outwards" rational deductive method, where we start with some primary propositions (called axioms) and then, from there, going "outwards" we build up, with Rational Deductive Thinking and only Rational Deductive Thinking, the edifice for all the results to follow. It is tempting, to say the very least, to follow the Mathematics' method, and build up a theory of Nature, from the ground up, through a similar rational deductive method. The Physics derived from this method may be called Rational Deductive Physics or simply Rational Physics. The theory derived from these principles is The Rational Unified Theory Of Nature (TRUTON). (Of course, not only Physics, but all Natural Sciences will be able to derive its theoretical results from TRUTON and, as such, we can implant the seeds for the creation of Rational Astronomy, Rational Chemistry, Rational Biology with all the borderline sciences accompanying them.)

Since the Mathematical method of discovering things will be our guide, let us begin our contemplated journey with some preparatory work. No matter what branch of Mathematics that we may wish to consider for our guidance, they all are guided by the same methodology in deriving their respective results which is:

start with some primary propositions, called axioms, to satisfy these two (2) basic requirements:

i) that they could not be derived from one another nor from anything else; and ii) that they do not lead to contradictory results (theorems);

then,

establish some primary relation or law that the primary "elements" will obey

and then, finally

build up all your results by employing exclusively rational deductive reasoning from that primary relation or law

To help us in our guidance, let us zoom our attention at Geometry and, for simplicity, at the Euclidean Geometry that is most familiar to a great majority of people.

In the modern treatment of the Euclidean Geometry, we note that mathematicians start with

certain undefined primary elements such as point, line, and plane;

and with

certain undefined primary relations such as the 'on' relation as in "the point lies 'on' the line."

Then this set of undefined primary elements and relations are subjected to a set of primary, unproven propositions called axioms which need to be logically compatible i.e., not leading to two contradictory results. From here, using the rational deductive reasoning, the entire Geometry is build up. Well, in most general terms, this shall be our blueprint for creating from the ground up our new theory of Nature --TRUTON.

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The rational deductive road which we are choosing to pursue in studying Nature is a road which has never been attempted to be built before, much less traveled, and thus, to say the very least, we need to be extremely careful. You see, so far in Physics and for that matter in the rest of Natural Sciences, throughout the entire history of physical science, the direction of theoretical work was done, if you will, "inwards": we started with the result (provided by observations or experiments) and went "inwards" attempting to find an explanation for the result obtained. In Mathematics, as we have seen, the method of obtaining theoretical results has been exactly the opposite being, if you will, in the "outwards" direction: you start with certain primary propositions called axioms and then you work your way "up" deriving results which are build up from the previous results and so on. It is this "outwards" direction from the ground up that we shall attempt to initiate as the new direction of studying Nature.

We would like now this bottom-up framework of Mathematics that we have just outlined to be transposed into the foundation of study Nature so, without further delay, let us begin our long and uncharted journey that we have set to travel.

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