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Inverse View
It is not the case that It would be wrong to say that, in a possible world where it is false that p, there is no such fact as the fact that p.
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Reasons For
2 perspectives
Reason for 1 of 2
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1.
Facts are worldbound entities: to be a fact is to obtain in a specific possible world, not merely to exist abstractly across worlds.
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2.
If the fact that p fails to obtain in world W, then in W there is no fact that p—its non-obtaining just is its absence from W.
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3.
This follows from David Armstrong's truthmaker theory: facts (states of affairs) are what they are only by actually holding, not by hovering uninstantiated.
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Reason for 2 of 2
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1.
On a Russellian sparse ontology of facts, a fact exists only if its constituent relation actually holds among its constituent objects in the relevant world.
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2.
In a world where it is false that p, no relation-instantiation grounds the fact that p, so positing that fact's existence conflates abstract propositional content with concrete fact-existence.
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Reasons Against
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Reason against
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1.
If p is true in the actual world, then it is a fact that p in the actual world.
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2.
Facts and true propositions continue to exist across possible worlds.
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3.
A fact existing in a possible world does not entail that it is a fact in that world.
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