If you define inflation as the increase of the money supply, then obviously a hike in interest rate, or equivalently, a reduction in the production of new money

If you define inflation as the increase of the money supply, then obviously a hike in interest rate, or equivalently, a reduction in the production of new money solves the problem of inflation. That’s not how I define inflation, and I don’t think it’s how most people (even economists) define it. I define inflation as stuff getting more expensive. If you define “inflation” as “increase in the money supply” and “value” as “value denominated in the mass of shiny rocks”, then yes, a gold standard prevents inflation and stabilizes the value of money. But this is a tautology, not an argument.