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Full Idea
It may be metaphysically necessary in one sense that sets or universals or mereological aggregates exist, while in another sense existence is always a contingent matter.
Gist of Idea
Sets, universals and aggregates may be metaphysically necessary in one sense, but not another
Source
Gideon Rosen (The Limits of Contingency [2006], 10)
Book Ref
'Identity and Modality', ed/tr. MacBride,Fraser [OUP 2006], p.38
A Reaction
This idea depends on Idea 18856 and 18857. Personally I only think mereological aggregates and sets exist when people decide that they exist, so I don't see how they could ever be necessary. I'm unconvinced about his two concepts.
Related Ideas
Idea 18856 Non-Standard Metaphysical Necessity: when ¬P is incompatible with the nature of things [Rosen]
Idea 18857 Standard Metaphysical Necessity: P holds wherever the actual form of the world holds [Rosen]
18849 | Metaphysical necessity is absolute and universal; metaphysical possibility is very tolerant [Rosen] |
18850 | 'Metaphysical' modality is the one that makes the necessity or contingency of laws of nature interesting [Rosen] |
18848 | Something may be necessary because of logic, but is that therefore a special sort of necessity? [Rosen] |
18851 | Pairing (with Extensionality) guarantees an infinity of sets, just from a single element [Rosen] |
18852 | A Meinongian principle might say that there is an object for any modest class of properties [Rosen] |
18853 | A proposition is 'correctly' conceivable if an ominiscient being could conceive it [Rosen] |
18854 | The MRL view says laws are the theorems of the simplest and strongest account of the world [Rosen] |
18855 | Combinatorial theories of possibility assume the principles of combination don't change across worlds [Rosen] |
18858 | Sets, universals and aggregates may be metaphysically necessary in one sense, but not another [Rosen] |
18857 | Standard Metaphysical Necessity: P holds wherever the actual form of the world holds [Rosen] |
18856 | Non-Standard Metaphysical Necessity: when ¬P is incompatible with the nature of things [Rosen] |