Epistemic modals give rise to many puzzles. Here is one pointed out by Seth Yalcin in his paper ‘Epistemic Modals’ in Mind:
Sentences of the form “p but perhaps not p” (call them Yalcin-sentences) are generally not assertable (you may substitute ‘perhaps’ with other modal phrases expressing epistemic possibility here.) For instance, any utterance of
(1) It’s raining but perhaps it is not raining.
is rejectable.
This observation may seem reminiscent of Moore-paradoxical sentences such as:
(2) It’s raining but I don’t believe it’s raining.
The problematic character of (2) does not seem to be a semantic phenomenon. After all, the proposition expressed by sentence (2) is not contradictory but can indeed be true. The non-assertability of (2) then clearly seems to be a pragmatic phenomenon. Can the defect of Yalcin-sentences such as (1) be assimilated to that of Moore-paradoxical sentences?
Yalcin argues it cannot. He draws attention to the fact that Moore-paradoxical sentences behave well in suppostional contexts. That is, the embedding of such a sentence in a suppostional phrase it not defective any more. By way of illustration, the following sentences may have a proper use in certain conversations:
(3.1) Suppose it’s raining but I don’t believe it’s raining.
(3.2) If it is raining but I don’t believe it’s raining, then I am wrong.
However, the case is different with Yalcin-sentences. They resist even being embedded in suppositional contexts, as the following examples show:
(4.1) Suppose it’s raining but perhaps it is not raining.
(4.2) If it’s raining but perhaps it is not raining, then …
So, Yalcin develops a logic for epistemic modals on which (1) comes out contradictory.
However, both the motivation for his logic as well as his specific proposal leave us unconvinced. Let us comment on both points.
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