Entertaining Alternatives: Disjunctions as Modals

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At least et al: The semantic of scalar modifiers (2007, background): “This problem has been discussed at some length by Zimmermann (2000) and Geurts (2005), and we conjecture that whatever turns out to be the right approach for or should also work for at least and at most.”
Why will is not a modal (2008, background): “5 Geurts (2005) points out that, at first sight, the self-reflexivity of epistemic necessity entails that (i)”
Deliberative modality under epistemic uncertainty (2013, background): “For recent discussions of disjunction, see Zimmermann (2000); Geurts (2005); Simons (2007); Barker (2010).”
Two kinds of modified numerals (2010, background): “The mysterious interaction of modified numerals and modals is moreover reminiscent of the interaction of modals and disjunction (Zimmermann 2000; Geurts 2005; Aloni 2007), especially since, on an intuitive level at least, a class B modified numeral like minimally 10 (and, quite obviously, 10 or…”
Dividing things up: The semantics of or and the modal/or interaction (2005, background): “That is, switching the order of the disjuncts produces an unacceptable result, as observed by Geurts (2004).”