Deleuze and Guattari, in trying to show the existence of the "different kind of science" than the form of interiority, state science, that we're used to, explains the characteristics of this Other science as such:
"1. First of all, it uses a hydraulic model, rather than being a theory of solids treating fluids as a special case; ancient atomism is inseparable from flows, and flux is reality itself, or consistency.
2. The model in question is one of becoming and heterogeneity, as opposed to the stable, the eternal, the identical, the constant. It is a "paradox" to make becoming itself a model, and no longer a secondary characteristic, a copy; in the Timaeus, Plato raises this possibility, but only in order to exclude it and conjure it away in the name of royal science...
3. One no longer goes from the straight line to its parallels, in a lamellar or laminar flow, but from a curvilinear declination to the formation of spirals and vortices on an inclined plane: the greatest slope for the smallest angle. From turba to turbo: in other words, from bands or packs of atoms to the great vortical organizations. The model is a vortical one; it operates in an open space throughout which things-flows are distributed, rather than plotting out a closed space for linear and solid things. It is the difference between a smooth (vectorial, projective, or topological) space and a striated (metric) space: in the first case "space is occupied without being counted,"and in the second case "space is counted in order to be occupied."
4. Finally, the model is problematic, rather than theorematic: figures are considered only from the viewpoint of the affections that befall them: sections, ablations, adjunctions, projections. One does not go by specific differences from a genus to its species, or by deduction from a stable essence to the properties deriving from it, but rather from a problem to the accidents that condition and resolve it. This involves all kinds of deformations, transmutations, passages to the limit, operations in which each figure designates an "event" much more than an essence... Whereas the theorem belongs to the rational order, the problem is affective and is inseparable from the metamorphoses, generations, and creations within science itself. Despite what Gabriel Marcel may say, the problem is not an "obstacle"; it is the surpassing of the obstacle, a projection, in other words, a war machine."
@exiliaex i don't understand at all so you're a few steps ahead of me on this one lmao
1 and 3 have always been the most difficult for me to understand, on every rereading. the difference between smooth space and striated space makes enough sense to me but i've never felt like i *really* understood what was meant by a science of a "hydraulic model" of "vortical flows"