Quine's criterion of ontological commitment treats 'there exists' as a single logical operator (the existential quantifier) that ranges over all entities without categorical restriction.

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Categorical restriction(as the limiting concept Quine's criterion avoids): A limit on what *types* of things something can apply to. 'Without categorical restriction' means the existential quantifier applies equally to all kinds of entities—physical objects, abstract ideas, numbers, etc.
Logical operator(as used in logic and mathematics): A precise mathematical tool used in formal logic (like NOT, AND, OR) that follows strict rules and produces exact results.
Ontology(Carnap argues this enterprise is based on a mistake): The philosophical discipline that tries to answer hard questions about what there really is.
Quine(as a proper name referring to the philosopher whose theory is being discussed): Willard Van Orman Quine was a 20th-century American philosopher who wrote about how we know things and how language works. In this statement, we're discussing one of his specific ideas about observation.

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