Davies' objection conflates spatial continuity with functional-kind persistence, a distinction that Christopher Boorse's species-design framework explicitly prohibits in pathological classification.
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Spatial continuity(as what this mathematics aims to model)
The idea that space is smooth and unbroken, with no gaps or jumps—like how you can move your hand along a table without it ever disappearing and reappearing.
Species-design framework(as a philosophical approach to understanding disease and health)
Boorse's theory that says the normal or healthy functioning of a living thing should be understood based on what that species of organism is biologically 'designed' to do.