If the validity of a conditional with an impossible antecedent can shift merely by rewriting premises in logically equivalent form, VSP distinctions reflect notational accident rather than metaphysically robust hyperintensional structure.
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hyperintensional structure(as used in philosophical logic)
An underlying framework or system that makes these ultra-fine distinctions between logically equivalent statements.
impossible antecedent(as used in logic)
An 'if' condition that can never be true, like 'if a circle is square' or 'if 2+2=5'.
logically equivalent(used to describe when different phrasings express the identical logical claim)
Two statements are logically equivalent when they mean exactly the same thing and must always have the same truth value (both true or both false).
metaphysically robust(as used in metaphysics)
Reflecting something real and fundamental about how the world actually is, not just a trick of language or notation.
notational accident(as used in philosophy)
A difference that exists only because of how we write or express something, not because of any real underlying difference.
validity(Formal logic; distinguished from syntactic deducibility)
The model-theoretic counterpart to deducibility; an argument is valid if its conclusion is true under every interpretation in which its premises are true