I do in fact argue that each semantically coherent version of ourselves exists — not as zombies, but as real people. Infinitely. This is very “Mad Dog” Everett, and I know it’s hard to get our heads around. But the thing about infinity is that it’s… well, infinite.
My point is that semantic coherence — the internal consistency of an observer’s world — determines which “me” I seem to be in the multiverse. This selection is probabilistic, and from it phenomena like the Born Rule can emerge naturally through the mathematics of infinity.
I also make an anthropic argument (I know some will see this as somewhat circular, as with most anthropic reasoning): if we are compelled to accept a Many Worlds explanation for quantum behaviour in the absence of any other reasonable alternative, then we also need an explanation for the measure problem. My claim is that semantic coherence provides it. We find ourselves in a world obeying quantum rules and behaviour precisely because that is the one with the greatest semantic coherence.