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According to Kripke, the traditional approaches to presupposition do not work in some compound sentences because the presuppositions from their component clauses traditionally assign presuppositions to each clause in isolation. I agree with this criticism, but I think that a contextual requirement is sometimes needed in order to determinate the meaning of presupposition included in a complex sentence, and this view can solve some problems in Kripke’s semantic approach.

Colomina Almiñana, J. J. (2011). Understanding Presupossition as Anaphora Some Problems on Kripke‘s Account. Praxis Filosófica, (32), 207–230. https://doi.org/10.25100/pfilosofica.v0i32.3444
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