VSP thus purchases intuitive 'relevance' at the cost of severing modal logic from its Lewisian foundations, trading one philosophical desideratum for a more consequential theoretical loss.

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Intuitive relevance(what the theory gains by changing course): Something that feels naturally connected or important to our everyday understanding, even if it's not technically proven.
Lewis (Lewisian foundations)(describing the theoretical framework being abandoned): Refers to David Lewis, an influential 20th-century philosopher who developed important theories about how possibility and necessity work in logic.
Modal logic(logic): A system of logic that deals with concepts like possibility, necessity, and what could or must be true.
Philosophical desideratum(describing what gets sacrificed in this trade-off): Something philosophers want to achieve or a goal that a good theory should aim for (plural: desiderata).
Theoretical loss(what happens if you try to replace one type of claim with the other): When you lose important explanatory power or accuracy in how well your theory explains something by removing or replacing a key part of it.
VSP(as a technical acronym in logic): An abbreviation for a specific logical principle or property (the exact name varies, but it's a formal rule that logicians debate).

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