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It is not the case that The Modest Continuity Thesis requires an explanatory grounding for gaplessness, not merely its structural description.
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Reasons For
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Reason for
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1.
Structural descriptions of gaplessness may constitute complete explanations if no further facts remain to explain.
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2.
Demanding explanatory grounding beyond structure risks infinite regress—explaining the grounding itself requires further grounding.
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3.
In mathematics and logic, structural properties often suffice as explanations without external causal or metaphysical grounds.
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Reasons Against
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Reason against
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1.
Describing gaplessness structurally alone leaves unexplained why that structure obtains rather than alternatives.
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2.
Continuity claims about reality require grounding in causal or metaphysical mechanisms, not mere formal patterns.
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3.
Without explanatory grounding, gaplessness becomes a brute fact, undermining the explanatory ambitions of the thesis.
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