Attributing the paradox solely to naive infinity concepts assumes the proposed solution (modern infinity) wasn't itself developed because classical concepts failed, making this circular.

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Circular reasoning(the trap that occurs when trying to define counterfactuals): A logical mistake where you use the very thing you're trying to prove as part of your argument, like saying 'I'm trustworthy because I said I am'—this goes in circles and doesn't actually explain anything.
Classical concepts (in mathematics)(as used in the history of mathematics): The older, traditional ways of thinking about mathematical ideas before modern rigorous frameworks were developed.
Infinity (mathematical concept)(as used in mathematics and philosophy): The idea of something endless or unbounded—not a specific number, but a concept describing something that has no limit or end.
Modern infinity(as used in the history of mathematics): Rigorous mathematical frameworks (like set theory) developed to handle infinity in a careful, logically consistent way, avoiding contradictions that earlier naive approaches ran into.

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Attributing the paradox solely to naive infinity concepts assumes the proposed solution (modern infinity) wasn't itself developed *because* classical concepts failed, making this circular.