The failure of G2 for Rosser-style predicates shows sensitivity to syntactic form, not to intensional meaning, since Rosser's predicate lacks the HBL conditions — a structural, not semantic, deficiency.

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G2(as used in mathematical logic): A specific logical system or rule in formal logic that's being tested to see if it works properly; when it 'fails,' it means the rule breaks down or doesn't apply in certain situations.
HBL conditions(as used in mathematical logic): A specific set of technical requirements or criteria in formal logic (the abbreviation stands for particular logical conditions); without them, a logical statement may not work as intended.
Intensional meaning(as used in semantics and logic): The exact meaning or definition of something based on its essential properties, as opposed to just listing what things have that property.
Rosser-style predicates(as used in mathematical logic): A type of logical statement named after philosopher Barkley Rosser; it's designed in a particular clever way to test the limits of logical systems.

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