Frege's analysis of existence as a second-order predicate shows that logical form and grammatical form can diverge without requiring a special particle-based vocabulary for metaphysical concepts.
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existence (in logic)(as the philosophical concept Frege analyzed)
In formal logic, existence isn't treated as a simple property of things. Instead, it's about whether members of a category actually exist—like asking 'do unicorns exist?' rather than 'is this unicorn white?'
logical form(Used to characterize logical consequence)
The way that a sentence is built up from the logical particles.
metaphysical concepts(metaphysics)
Big, abstract ideas about what reality fundamentally is—like existence, time, causation, or what it means to be something.
particle-based vocabulary(as an approach to talking about metaphysical ideas)
A way of using small, basic word-building blocks (like prefixes or separate words) to express abstract concepts. For example, using 'not-existent' as a particle-based way to talk about nonexistence.