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User:Magnap/Inquisitive Semantics Proposal: Difference between revisions

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<math>!\exists x. \text{P}\left(x\right)</math> is only the assertion of existence.
<math>!\exists x. \text{P}\left(x\right)</math> is only the assertion of existence.


==TODO proposal broad strokes==
==TODO proposal aims/goals==
 
 
==TODO proposal details==
Lift Toaq's current first-order truth-conditional semantics into first-order inquisitive semantics.
Lift Toaq's current first-order truth-conditional semantics into first-order inquisitive semantics.


==TODO proposal specifics==
TODO Show how <math>?</math> and <math>!</math> can be used to build a good semantics for questions, such as with <math>\lambda \text{P}. ?\exists x. \text{P}\left(x\right)</math> and <math>\lambda \text{P}. \forall x. ?\text{P}\left(x\right)</math> {{t|hí}} variants for exhaustivity.
Show how <math>?</math> and <math>!</math> can be used to build a good semantics for questions, such as with <math>\lambda \text{P}. ?\exists x. \text{P}\left(x\right)</math> and <math>\lambda \text{P}. \forall x. ?\text{P}\left(x\right)</math> {{t|hí}} variants for exhaustivity.
Do we end up needing the completeness operators? For embedded clauses only or also main clauses?
Do we end up needing the completeness operators? For embedded clauses only or also main clauses?
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