If natural and logical necessity lie on a continuum rather than being categorically distinct, excluding natural necessity claims arbitrarily weakens transcendental arguments without principled justification.

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Categorically distinct(The statement claims semantic mechanisms of different paradoxes are categorically distinct): Fundamentally different in type or category, not just different in degree.
Natural necessity(Contrasted with the stronger necessity required by transcendental arguments): A form of necessity that holds only within worlds governed by actual laws of nature, allowing for possible worlds where those laws do not hold
Principled justification(What the statement says Scotus lacks when he stops the regress at two points): A reason for believing something that is based on a clear rule or logical foundation, rather than just asserting it's true without explanation.
continuum(Brentano's philosophical analysis, contrasted with mathematical constructions): An entity characterized by phenomenological and qualitative aspects that resist reduction to discrete elements

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