The question defines a future ideonomical inquiry that will prove vast and in certain ways unending, but we can at least start the ball rolling in the right direction by discussing the accompanying organon "65 Things Paths Do, Can Do, Or Can Be Made To Do" (vide).

The table's items refer to things paths themselves do, to things paths can cause or help other things do, or to both,

Complementary organons could be constructed and used in combination with this table, "Ways and Degrees of Doing Things" for example-which is an organon that could also be reused in other ideonomic divisions, or that would have the broadest possible utility. Perhaps it is worth giving a sense of what such a coorganon would be like and of how it would operate. I will do this by combining greatly abridged versions of the two named lists into an integral organon:
 
 

Prototypal Organon of the ways and degrees  in which paths do, can do, or can be made to do things themselves or to other things.
How Done	What Done	To What
Catalytically	Accelerate	Themselves
Circumscribedly	Add, build, or form	Other Things
Continuously	Advance
covertly	Anastomose
Directly	Ascend or descend
Diversely	Attract
Economically	Oppose or restrict
Inductively	'Compact'
Maximally	Fossilize
Optimally	Branch or split lengthwise
Programmatically	Break or fragment
Progressively	Change or transform
Reversibly	Enclose or orbit
Selectively	Combine with
Sequentially	Connect or unite
Structurally	Distribute resources
Virtually	Interfere with

But to return to the first organon, and to the task of explaining and illustrating some of its sixty-five items.

Paths can ACCELERATE OR DECELERATE (things or themselves). Roads sped the transshipment of goods historically. Telephonic cables and microwave repeating tower chains quickened the universal flow of communications and information, as well as their own construction and development; and light pipes will soon reillustrate this process. Various and sundry tubular paths hasten the inflow and outflow of matter and energy that make the human body such a spectacular vergence. Cells are shot through with microtubules that have recently been found to accelerate the movement throughout the cell of diverse particles or organelles, which in some sense use the tubes as tracks. Store queues spare clerks by decelerating the onrush of excessive customers to punctiform counters (or naked clerks!). Tortuous canyons are paths that can decelerate terrain traversal by adding to the geodesic of a hike. Paths that retard flow (via or owing to channel elongation, subdivision, anastomosis, narrowing, distortion, enlargement, obstruction, or the like) have many positive uses, roles, and effects in nature and industry, or in: heating, cooling, and electronic systems, sedimentation, lungs, the countercurrent kidney, cerebral neuropile, purification, concentration, interconversions between or among radically different quantitative and qualitative dimensions, the hydrological cycle, estuaries and mangrove communities, academic scholarship, scientific research, artistic creation, psycho-social existence itself, etc.

Paths can ADD, BUILD, OR FORM things. Blood vessels add oxygen atoms to the body's far-flung cells; nerves, axons, and dendrites add data and instructions to individual neurons. In childhood the bloodstream builds the body with the molecules of food it transports from the intestine. Magmatic paths in the earth's crust build volcanoes and help build the atmosphere (literally, in fact, since recomposition influences stratification, dynamics, and cellulation). Paths of water molecules (vapor) and droplets build and form clouds, The Sun's surficial structures are path-generated and revelatory of their hodological origin (indeed, many are hodomorphic or paths simpliciter). Streams are paths that form geological landscapes; they also build alluvial fans, deltas, and abyssal cones. The arboreal path of scientific and technological research has built and shaped civilization across history; it has also-and increasingly-built and shaped itself.

Paths can ADVANCE things or themselves. With time the many great meander loops of the Mississippi River advance seriatim downstream. Civilization and urbanization tend to advance along watercourses, tradeways, roads, orogenic belts (which are both vertical and horizontal paths, in a morphodynamical sense), biogeographic paths, ocean currents, currents of air, and even isthmuses (such as that linking North to South America),

Paths can ANASTOMOSE, or facilitate the anastomosis of other things. The bodies of organisms are replete with spatial and temporal (or metaphoric) anastomoses of every imaginable sort at countless levels of countless hierarchies (of size, time, energy, order-and-entropy, etc); e.g. in the vascular, lymphatic, nervous, skeletal, muscular, endocrine, sensory, and respiratory systems; in the system of intercellular spaces; in the nucleic-proteic transctiptional-translational system; in the system-of-systems within the plasmalemma (cytomembrane); in the endoplasmic reticulum; and in the myriad biochemical pathways. Rivers braid. 'Within the mind' ideas and thoughts must flow, branch and stream into miniscule or unidimensional filaments, and subsequently reunite downstream; they must anastomose and simply intersect both up- and downstream, in fact. The complex "kinetic" pathways and paths of actual chemical reactions not only branch but anastomose (that is, they form networks, not just trees).

Then consider the paths that ingested toxins are apt to both form and follow in the body: in addition to the anastomoses of the flow of a toxin in the blood that the mere structure of the vascular system will induce, there will be direct anastomoses as molecules of the toxin migrate from blood vessels to their targets in the plasmas and organelles of the cells of target tissues, as well as indirect anastomoses, as effects caused by the toxin molecules propagate in Nth-order biochemical pathways (chains).

Paths can ASCEND and DESCEND, and cause the ascent and descent of things. They can do this both literally and figuratively. Salt nuclei from ocean waves are transported by columnar, helical, and other winds high into the atmosphere. Mountains provide paths for earth currents to ascend to high altitudes, where they ultimately transform into atmospheric electric currents. Galactic jets shoot particles to high galactic attitudes. Blood ascends and descends from and to the human heart via 'vast' arterial paths. Electrons ascend to and descend from the electron shells or energy levels of atoms. The deep descent and ascent of waters circulating in the Earth's crust cause a welter of profoundly important but still largely mysterious geological phenomena. Earth's organisms descend and 'ascend' via evolutionary paths, many of which-say for being endlessly recurrent-appear to be inevitable. Technological innovation occurs thanks to 'repeatedly' ascending (and 'descending') paths of invention and discovery. Paths may be necessary to define ascent and descent, in space and time: e.g. by unidimensionalizing change and succession to make them absolute, by stratifying a volume, by converting a 'compact' three-dimensional volume into a 'maximally elongate' Peano curve (or tridimensionally dense egagropile),that enables a critically minimal gradient or maximal range, by providing efficient shortcuts to extremes and hence allowing the attainment of extremes, by defining an arbitrary but necessary (e.g. initiatory) sequence, etc.