The relationship is sufficiently complex to permit e.g. falling unemployment, falling (not negative) wage growth, falling (including negative) growth and falling inflation. It's not a deterministic system.
> in a sense increase combustion is a goal
No, it's not, because the goal--reaching the destination quickly--would be accomplished equally well in an electric car with no combustion. That's the difference between a goal and an effect.
I think you’re falling for the no true Scotsman fallacy. We started this conversation talking about whether or not the Fed’s goal is higher unemployment. I presented an argument, in the Fed’s own words, that they plan on lowering inflation by weakening the labor pool. And your response is “that’s not really a goal.” I disagree and, and I don’t see a productive way forward for this conversation. At the very least, you should accept that this is a valid interpretation of the Fed’s own words, and not just some conspiracy theory being peddled.