Synopsis
The arithmetic of power has never gone uncontested. Alongside every system this book has examined — the eugenic ledger, the RAND objective function, the credit score, the claimant commitment algorithm — there has existed a counter-tradition: mathematical practices built not to rank, sort, and exclude but to pool, distribute, and include. This chapter does not argue that those alternatives are easy, complete, or sufficient. It argues that they are real, technically grounded, and genealogically connected — that solidarity has its own mathematics, and that mathematics has a history worth recovering. The Preston Model, the Porto Alegre participatory budget, the Isle of Eigg’s community governance structure, and the Scottish Land Reform are not marginal curiosities. They are technically precise instantiations of a different answer to the same question the arithmetic of power has been answering since Galton’s laboratory: who controls the allocation of resources, by what criteria, and for whose benefit? The Rochdale Pioneers were cooperative in 1844, the same decade the Poor Law workhouse mathematics was being perfected. Elinor Ostrom’s Nobel Prize-winning formal analysis of commons governance produced a set of eight design principles — as technically precise as any RAND model, built from empirical observation of thousands of cases — whose governance function is the opposite of the welfare conditionality architecture: it pools risk rather than concentrating it, makes criteria public rather than opaque, builds accountability to participants rather than to external programme evaluators. The care economy, when measured using time-use surveys and shadow-priced at market rates, adds approximately £1.24 trillion annually to the UK economy. It is performed overwhelmingly by women. It is excluded from GDP. The omission is not an oversight. It is a choice.
In This Chapter
- How Ostrom’s eight design principles for commons governance constitute a formal mathematical framework for solidarity — as technically rigorous as any RAND model, built from empirical observation, and oriented toward the opposite governance function
- How Preston City Council’s anchor-institution local spending analysis applied a transparent methodology to ask “how much of our combined procurement stays local?” and redirected contracts accordingly — a different arithmetic producing a different economy
- How Porto Alegre’s participatory budgeting algorithm — weighted priority voting, neighbourhood assembly aggregation, transparent formula — is as mathematically precise as any operations-research model, but generates its inputs from the people affected rather than from analysts modelling them
- How the ONS household satellite accounts demonstrate that the care economy’s exclusion from GDP is a political choice with a mathematical mechanism, and how feminist national accounting makes that choice visible and contestable
- How the Scottish Land Reform and the Isle of Eigg community buyout enacted transparency requirements and ownership redistribution through statute — a mathematics of redistribution that rewrites the ownership formula rather than optimising within it
Connection Forward
Chapter 15 extends the counter-tradition from resource allocation to representation itself — asking not only how welfare resources should be distributed but whose experience generates the data, whose categories organise it, and whose life is rendered legible by the resulting numbers.