The infinite plays an important role in Deleuze’s thought, but it has not been the object of much discussion. Badiou’s set theoretic conceptual creations can provide us with a useful point of comparison.
In his « Immanence of Truths » project Badiou distinguishes
(1) inaccessible infinites
(2) infinites by resistance to division or partition
(3) infinites by immanent power
(4) infinites by increasing proximity to the absolute.
In Deleuze we can find
(1) the outside further than any exteriority – the « inaccessible » outside
(2) resistance to stratification and segmentation -resistance is prior to power
(3) immanent distribution of affirmative powers (becomings, affects, singularities, intensities
(4) deterritorialisation approaching the « absolute horizon » of the non-totalisable plane of consistency
On the one hand one could argue that Deleuze’s concepts of infinity are too qualitative, too vague and imprecise, remaining too intuitive and insufficiently theorised.
On the other hand one could invert the arrow of comparison and argue that Badiou’s concepts, based on the mathematical hierarchy of infinite cardinals are insufficiently philosophical, and that they represent a slowing down of the plane of consistency.
AGENT SWARM 
I am not as familiar with Badiou’s concept of infinity, so please correct me. His whole philosophy strikes me as indeed coming from a lower order, a kind of looking up from an abstraction of discrete things into the infinite. Rocco Gangle puts set theory in general as a similar construction, a kind of lower order of category theory relations, which he associates with Deleuze. I think Gangle and Delanda both make Deleuze’s concept of infinity precise and logical if you read into what they are saying concerning the ordering of layers of reality according to degrees of abstraction away from infinite relationality(Gangle) or from the topological layer in Klein’s hierarchy of Geometries (Delanda). Infinity and zero both fall right of a projective geometric view of the universe as perspectively defined.
I am working on a further theorization of this, mostly by connecting these philosophical developments to the scientific underground where projective geometry is being used along the lines of Rudolf Steiner’s suggestion—as an essential ontological ordering principle—to update and critique the system of physical theory developed by Dewey Larson. Larson’s physics, itself a kind of reordering of science concepts along the lines of Samuel Alexander’s philosophy; makes infinity, one and zero extremely intuitive and meaningful. I always have had the impression Badiou misunderstands Deleuze and relations in a similar way that OOO does. Neither can see very deep because they start with appearances.
J’aimeJ’aime
Ping : ON BADIOU’S SPINOZA-BECOMING: A Deleuzian Convergence | AGENT SWARM
Ping : DELEUZE/BADIOU/INFINITY (2): Cantor and the Absolute | AGENT SWARM