A chess-playing agent need not enumerate all game states if it possesses a finite generative procedure that implicitly determines all positions, as Chomsky's competence-performance distinction suggests.

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Competence-performance distinction(as applied to how agents process information): Chomsky's idea that there's a difference between the ideal language ability someone has in their mind (competence) and how they actually use language in real situations, which can be messy and imperfect (performance).
Enumerate(as referring to going through all chess game states): To list out or count every single item one by one.
Generative procedure(as describing how a chess player might understand all possible moves): A set of rules or steps that can create or produce many different results without needing to list each one out individually—like a recipe that can make unlimited variations of cookies.
Implicitly determines(as describing how game positions are contained within a procedure): Indirectly specifies or fixes something without stating it directly—the rules are built into the system even if you don't write them all down.
Noam Chomsky(as referenced in modern linguistics and philosophy of language): A famous linguist who revolutionized how we think about language by arguing that humans have built-in mental structures for learning grammar.

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