Goodman's 'grue' paradox demonstrates that without principled predicates, any two objects share infinitely many similarities, rendering counting computationally and conceptually vacuous.

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Goodman, Nelson(The statement refers to 'Goodman's third semantic condition,' which is a specific rule he created.): A 20th-century American philosopher who developed important theories about how symbols (like words, pictures, and musical notes) work and how we use them to represent reality.
Grue paradox(as the core philosophical problem being discussed): A thought experiment showing that the way we define and classify things (like colors) isn't as straightforward as we assume—it depends on choices we make about language.
Principled predicates(in philosophy of language): Properties or descriptions that are considered 'natural' or 'real' rather than arbitrary; they supposedly carve nature at its actual joints rather than being just useful human inventions.
predicate(Logical/grammatical ontology in Eisagoge): Either a sound signifying a meaning or a meaning signified by a certain sound

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