.
├───┐AxS:0
│ ├───┐ AxS:00
│ │ ├── AxS:000
│ │ │ ├── AxS:0001
│ │ │ ├── AxS:0002
│ │ │ └── AxS:0003
│ │ │ ├── AxS:00031
│ │ │ ├── AxS:00032
│ │ │ └── AxS:00033
│ │ ├── AxS:001
│ │ │ └── AxS:0011
│ │ │ └── AxS:00111
│ │ ├── AxS:002
│ │ │ └── AxS:0021
│ │ │ └── AxS:00211
│ │ └── AxS:003
│ │ ├── AxS:0031
│ │ └── AxS:0032
│ ├── AxS:01
│ │ └── AxS:011
│ │ └── AxS:0111
│ ├── AxS:02
│ │ ├── AxS:021
│ │ └── AxS:022
│ │ └── AxS:0221
│ │ └── AxS:02211
│ │ └── AxS:022111
│ └── AxS:03
│ ├── AxS:031
│ ├── AxS:032
│ └── AxS:033
├── AxS:1
│ ├── AxS:11
│ ├── AxS:12
│ │ └── AxS:121
│ │ └── AxS:1211
│ └── AxS:13
│ ├── AxS:131
│ └── AxS:132
├── AxS:2
│ ├── AxS:21
│ │ └── AxS:211
│ │ └── AxS:2111
│ │ └── AxS:21111
│ └── AxS:22
│ ├── AxS:221
│ │ └── AxS:2211
│ │ └── AxS:22111
│ │ └── AxS:221111
│ │ └── AxS:2211111
│ │ └── AxS:22111111
│ └── AxS:222
└── AxS:3
├── AxS:31
│ └── AxS:311
├── AxS:32
└── AxS:33
6. “[C]apitalism is the only social machine that is constructed on the basis of decoded flows,substituting for intrinsic codes an axiomatic of abstract quantities in the form of money” (AO 139). Asan axiomatic system, capitalism replaces transcendent laws with immanent rules. (The immanence ofaxiomatics is attested to by the fact that Deleuze and Guattari use the axiomatic method in theirdiscussion of the war machine – see 1227: Treatise On Nomadology – The War Machine.)
As both Gödel’s incompleteness theorem and Cantor’s diagonal numbering have shown, axiomaticsystems are intrinsically and necessarily incomplete: “... it is of the nature of axiomatics to come upagainst so called undecidable propositions, to confront necessarily higher powers that it cannotmaster” (ATP 461). Capitalism thus inevitably runs up against the problem of undecidablepropositions or nondenumerable sets. “At the same time as capitalism is effectuated in thedenumerable sets serving as its models, it necessarily constitutes nondenumerable sets that cut acrossand disrupt those models” (ATP 472). “Yet the very conditions that make the State or World warmachine possible, in other words, constant capital (resources and equipment) and human variablecapital, continually recreate unexpected possibilities for counterattack, unforeseen initiativesdetermining revolutionary, popular, minority, mutant machines” (ATP 422).