http://publishing.cdlib.org/ucpressebooks/view?docId=ft4489n8zn&chunk.id=d0e16359&toc.id=&brand=ucpresThis guide to the Natural Philosophy of the Pronciple for Astologers breaks down the key structures of Newtons presentation . It is important to read the Latin presentation before assuming the English translation is accurate.

Now my conception is that our proprioception of space and spatial dynamics is necessarily representational of a fractal mesh of sensory experiences synaesthesically ombined . Thus a superpositional or interference pattern of sensory signals underpins our conception of extension and intensity of magnitude( that is extrnsive and intensive magnitudes, so called) . The consequence of this is that the simple must be conceptually derived from the complex by analysis. We thn construct the complex by synthesis of our analytical products.

So Newton attempts o didactically impart this notion in synthetical steps after he had done the Anlysis privately and to his satisfaction.

It is the classical duty of all Rhetoricists to impart instructive information at the level of their audience!

Thus we find axiom, definition, proposition, Lemma , demonstration all woven together as set out by some of the greatest classicl master taught. We name only a few such as Plato and his version of Pythagorean scholasticism, Aristotle and his critical revision of Pythagorean ideals, Eudoxus,Euclid and Apollonius .

To these we may add some of Newtons contemporaneous teachers and Philosophers especially Wallis, Barrow and Hooke et al.

For me then a concept of pressure precedes any concept of force, just as a concept of the experience of magnitude precedes any concept of motion .

Finally the concept of spatial distribution of experiences of magnitudes now distinguishable by dynamism into at rest or in motion relative to the observer and perceivable as both intensive experience of magnitude nd or extensive experience of magnitude precede the concpt of Tyme or in modern guise Time.

Tyme itself is a conception of record keeping , whereas by the epoch of Galileos pendulum and Huygens formulaic expression of the pendulum Period time had become an experience of the regularity of motions.

We may go back to Timmaeus and other nicest engineers of worders who expressed the records of spatial positions by ratios of lengths of arcs on the circular perimeters of wheels and gears thus animating ' dead and lifeless " records and creating miniature models of their "Universe"

It is eye opening to realise that our brightest minds only a century ago thought the Milky way was the universe and now we think it is only a small local part of it!!

In defining pressure therefore I acknowledge that a space or region in space is always assumed, and itching that region a surface divides space into two relative to which side of the surface the remaining space is situated.

Thus a surface is hardly defineable if it does not have the extensive magnitude that dissects spatial perceptions into at least 2 relative positions we may call " sides. The record of point like objects such asvstarsvor planets therefore are conceived to be on or in a surface and on one side of that surface. Classic跐ly that surface was universally designated as a spherical one with the gods being on the other side of that surface essentially unknowable but conceptually present.

As we have pushed back the radius of that sphere, the diameter though huge has not expunged the notion of sides to surfaces in our universal knowledge .

Today we have an alternative to this central topology and that is a fractal topology. We can now think of fractally distributed regions of space like objects the totality of which is not conceivable and hich is not bounded by a spherical surface and thus has no sides but one corvl spatial distribution within which surfaces and ides are locl nd relative characteristics of a surface.

Pressure is now conceptual usable as acting on th sides of a surface and as regionally differentiable( differing in some way determined by the side of the surface it acts on, and the region the surface dissects, whether open or closed.

A closed region now underpins notions of orporeslity or corpuscularity and the pressure inherent in such regions are often considered to be energies, body forces, tendencies and tensions .

We may derive from sides to surfaces notions of orientation hich then feed into notions of direction. Thus we now are able to speak of surface relative irections and distinguish between sides of. Surface and notions of a point in a surface!

The motion of a point is therefore derived from the general notion of a surface in space evn though a general concept of a point seems to be obvious in space! This is because in identifying a point in space the surfaces associated with that point always guide the perception of the precise point.

The action of pressure may now because of a surface be described giving pont direction and effect of that pressure

It is when we come to effect of pressure that we enter into a synthesis that is more complex and yet still fundamental. In particular, the dynamics b hich side ha Ben is cussed nd indeed perceived are revealed to be founded in the general dynmic concept of rotation, which itself in generality is now discussed under the heading of Roulettes, but previously was discussed as Tochoids.

It is this complex trochoidal behaviour we call chaos or turbulence and yet we May approximate to it by Fractal dynamical means computationally.