Money can be a means of exchange or a store of value. traditionally, we therefore could use money to shift the returns for goods or labour in space and time, instead of having to just immediately exchange (barter) goods for labour or labour for labour or goods for goods.
the system then enabled trade across distance - wealth of nations, and was to some extent regulated by the "invisible hand" of capitalism (thanks adam smith for these enduring, if somewhat flawed metaphors from 250 years ago).
so more recently (but still 80+ years ago) von Neumann took the theoretical ideas from Turing (& Church) and with Eckart and Machley, documented the idea of the stored program computer - the key clever trick is that memory holds code and data. indeed, at any given time, code may be data for other code (machine translation, compiling, self-modifying etc).
So the new thing about AI isn't about very big neural networks and data centers. It is that the eco-system took all the world's data, and all the world's code, including all the algorithms for how money and exchange work, and combined them - the AI industry is now a hidden brain instead of an invisible hand, and controls the rules for the means of exchange and the store of value as well as the goods and services for which those exchanges and stores operate.
We can think of this new processing paradigm much as we think of computers - noting that of course it is very mutable, where previous systems involved soverign currencies backed by states and national banks, and to some extent, markets learned value based on production of physical goods, or the size of labour markets. Now that is all tears in the rain.
just to note: I don't believe capitalism works at all, but like democracy, it is a model that is perhaps just less bad than many others. to this end, the computational socio-economy described above is at least as bad as capitalism, and then some, as it bears even less relationship to reality (i.e. until humans sublime, we do depend on food, shelter, social contact etc, and virtualisation doesn't preserve the conservation laws).