When competent logicians systematically disagree about which inferences are valid in a sophismatic context, the dispute concerns the rules themselves, not merely their application to an obscure logical form.

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Inferences(The logical connections between steps in an argument): Logical steps where you conclude something new based on what you already know—like saying 'all dogs bark, Fido is a dog, therefore Fido barks.'
Logicians(as used in philosophy of logic): People who study logic—the rules and methods for figuring out whether arguments and conclusions make sense and follow good reasoning.
Obscure logical form(as used in logic): A way of structuring an argument that is hard to understand or unclear, making it difficult to see whether the reasoning is actually sound.
Sophismatic context(as used in logic and philosophy): A situation involving tricky, puzzling, or deliberately confusing arguments—often ones that look correct on the surface but contain hidden errors or ambiguities.
Systematically disagree(as used in epistemology and philosophy of logic): When experts have fundamental, organized disagreements that follow a pattern, rather than just occasional or random differences of opinion.
The rules themselves(as used in philosophy of logic): The foundational principles and logical laws being debated, rather than just how those rules are applied to specific cases.
Valid (in logic)(Whether the logical steps actually work): When the reasoning in an argument follows the rules of logic correctly, so if the starting points are true, the conclusion must be true.

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