> In a market with one good, the value of a dollar must move inversely with the value of the good (no examples needed, it's mathematically tautological)
this is incorrect
this is incorrect
CPI is a tool for adjusting the value of a dollar, but it doesn't have any bearing on the value of the total economy vs the value of all the dollars in existence. All the dollars in existence might buy the entire economy many times over or they might buy a tiny fraction of it. And that ratio changes continuously (both from money creation and economic activity). There is no inverse relationship mediated by the CPI.