>>Eventually, they would score some solid victories, and we would simply not recover.<<
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I guess you’re expecting a protracted war.
1) Protracted war -- we fight these a lot, but we fight to lose. There is no way we could win a protracted war against China. Economically, politically, militarily, we haven't a hope.
2) Atomic war -- we could win this way, but we don't fight this way. Just ain't gonna happen.
3) Undignified appeasement and surrender -- China can do anything it wants with its military: we won't even pretend to try and stop them. And they know it.
3 options. And 2 of them are jokes. Only option 3 is really on the table.