The fact that dance is an action-structure does not entail that the structure itself is non-abstract; musical works are also action-structures yet Dodd mounts a sustained Platonist defense of them.
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action-structure(Proposed as the appropriate ontological category for dance)
An ontological category for artworks construed as physical, intentional events or actions rather than abstract eternal types
musical works(as used in aesthetics and philosophy of art)
In philosophy, this refers to compositions like symphonies or songs—the question is whether they're abstract objects that exist eternally or whether they only exist when performed.