A definition adequate to 'core' fallacies must account for argumentative context, but SDF abstracts away from context entirely, rendering it structurally incapable of covering the full set.

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SDF(Philosophy of logic and argumentation theory): The Standard Definition of Fallacies, which identifies the fault in arguments as their deductive invalidity combined with an appearance of validity.
Structurally incapable(suggesting the league's basic design prevents it from working): Unable to do something because of how it's fundamentally built or organized, not because of temporary problems that could be fixed.
abstracts away from context(what SDF does according to the statement): Ignores or removes the surrounding circumstances and details in order to focus only on basic structure.
argumentative context(what the statement says definitions should account for): The specific situation, purpose, and background surrounding an argument—like who's talking, why they're arguing, and what's already been agreed upon.

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