Accounting
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Accounting can also be considered as abstract counting, which is a mechanism to keep causal relationships with documented rigor. The nature of keeping relationships traceable using trust-worthy documentation, yet objectively, and systematically verifiable, must all be grounded in the notion of information symmetry.
Accounting and Accountability
Something is accountable or not, can be judged by whether all items are being accounted for during the project.
History of Accounting
It would be useful to read the paper by Fitzgerald and Lin, on Quantum Information and Accounting Information: A Revolutionary Trend and the Role of Topology.