The Sleeping Beauty paradox

Well, I’ll continue the self-plagiarism:

[spoiler]Interesting. So she wouldn’t even be able to imbue the statement “It’s currently the case that everyone outside is going around calling the day ‘Monday’ (even though I can’t access them)” with meaning, even though she can imbue the statement “The coin flip came up heads (even though I can’t access any record of its results)” with meaning?

Well…

I imagine what you are saying is that SB knows there are two days in consideration, one where people outside say Monday and one where people outside say Tuesday, but she can’t manage to assign to these the labels “now” and “not now” in any fashion, because they’re totally symmetric to her; there’s no way to distinguish the one from the other.

I am amenable to speaking this way. However, while doing so, I would feel compelled to also similarly argue that SB knows there are two histories in consideration, one where the coin came up heads and one where it came up tails, but she can’t manage to assign to these the labels “the actual history” and “an alternative history” in any fashion, because they’re totally symmetric to her; there’s no way to distinguish the one from the other.

Why should we be able to say “there was only one past coin-flip [i.e., there is only one coin flip result in the ‘actual’ history]” if we cannot equally as well say “there is only one outside day-value [i.e., there is only one day-value for the ‘current’ outside]”? Seems to me we can accept both or reject both, but we oughtn’t treat one differently from the other.
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