Barker writes in:
[PDF]Material Implication and General Indicative Conditionals
www.jstor.org/stable/2956328
about
"the implicature that the conditional probability of q given p" being "high", i.e. > 0.5.
Grice was interested in all that as far as it illustrated the general rationality constraints of language use. His followers (Lewis, Jackson, Appiah, etc.) have taken that for granted and argued against alernate theories rather than care for further illustrations in natural language, or anything of that sort.
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