Chalmers' two-dimensional semantic framework distinguishes primary intensions from secondary intensions, allowing conceivability arguments to be run at the level of primary possibility without illicitly inferring secondary metaphysical possibility.
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Possibility evaluated according to the primary intension of an expression at a world.
Two-dimensional semantic framework(as the main philosophical tool being described)
A way of analyzing the meaning of words and concepts by looking at them from two different angles: how we understand them in everyday situations versus how they connect to reality itself.
metaphysical possibility(Distinguished from mathematical possibility to argue that some mathematically consistent results are ruled out by the nature of concrete reality)
What is possible in the concrete world, which is a more restrictive domain than mathematical possibility
primary intension(two-dimensional semantics)
The semantic value of an expression evaluated across worlds considered as actual, where the reference is determined anew in each world according to the reference-fixing description
secondary intension(two-dimensional semantics)
The semantic value of an expression evaluated across worlds considered as counterfactual, where the reference is held fixed as the individual actually picked out in the actual world