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Both Russell's and McBrayer's objections alleging skeptical implications of CORNEA depend on interpreting CORNEA as a counterfactual conditional, that is, a subjunctive conditional with a false antecedent.
A natural gloss on Independence is the counterfactual conditional that, had there not been any intelligent agents, or had their language, thought, or practices been suitably different, there would still have been mathematical objects.
The most obvious gloss is probably the counterfactual conditional that, had there not been any intelligent agents, or had their language, thought, or practices been different, there would still have been mathematical objects.
There has been some disagreement about whether it is a might or a would conditional that is relevant (for an account of this distinction, see Lewis 1973, 21 24), as well as about which volition is relevant.
In this regard, sovereignty is conditional, that is, "a state's legitimacy and the enjoyment of its sovereignty depends on the protection it provides for the human rights of its population" (Scheid 2014, p.13).
One significant limitation of the belief-revision approach is that there is no representation in the object-language of a defeasible or default rule or conditional (that is, of a conditional of the form If p, then normally q or That p would be a prima facie reason for accepting that q).
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Mares (2004) presents a more complex theory of relevant conditionals that includes counterfactual conditionals.
Various authors have proposed conditionals and bi-conditionals that are not definable in terms of ¬, ∨ and ∧.
The latter was inspired by the same ontic interpretation of conditionals that guided Stalnaker's work.
But the conditionals that thus arise have different structural properties from the ontological conditionals studied via Stalnaker's test.
Reichenbach is initially concerned with distinguishing conditionals that, as indicative sentences, are true because of the falsity of their antecedents, from true (or at least assertable) subjunctive conditionals that have false antecedents, or antecedents not known to be true.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com