Full Idea
Can we assume that the ideal constructor cannot destroy objects? Presumably the ideal constructor does not have an eraser, and the collection of objects is non-reducing over time.
Gist of Idea
Can the ideal constructor also destroy objects?
Source
Stewart Shapiro (Philosophy of Mathematics [1997], 6.5)
Book Reference
Shapiro,Stewart: 'Philosophy of Mathematics:structure and ontology' [OUP 1997], p.194
A Reaction
A very nice question, which platonists should enjoy.