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In Kratzer’s theory, for each world w, modal base is the set of propositions p such that the speaker knows in w that p is true, e.g. f(w) = {p1, p2, p3}.

Following the standard assumption in possible worlds semantics, a proposition is taken as a set of possible worlds in Kratzer’s theory, e.g. p1 = {w1,w2,w3}, p2 = {w2,w3}, p3 = {w1,w2,w3,w4}.

I just wonder why p is composed of possible worlds? Shouldn't it be that we evaluate p's truth value in possible worlds?

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  • Is this really a linguistics question? Seems more of a philosophy question to me.
    – curiousdannii
    Commented Dec 11, 2020 at 15:10
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    @curiousdannii Kratzer's theory of the semantics of modals is the dominant one in linguistics. Clearly questions about it therefore are fitting for a linguistics site such as this one. Just about any formal semantics will have an overlap with philosophy. Commented Dec 11, 2020 at 18:52
  • @Araucaria-Nothereanymore. It may be dominant within formal semantics, but that is only a tiny part of linguistics. I spent quite some time studying modality and don't remember coming across it.
    – curiousdannii
    Commented Dec 11, 2020 at 23:26
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    I think your questions about Krazter should be merged
    – Alex B.
    Commented Dec 12, 2020 at 19:36
  • It's dominant in certain formal linguistic areas. It's not a syntactic theory of modality.
    – jlawler
    Commented Dec 14, 2020 at 0:43

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