Consider the property of being scattered. It has the logical form: S(xx), where 'xx' takes any plurality as value (including a plurality consisting of only one thing, if one thing can be scattered). The property of being scattered has a fixed adicity (one-place), and it is an intrinsic property (or so it seems).
My question is: Can there be any perfectly natural (fundamental) properties of the logical form F(xx)?
-Einar
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Sounds right to me. I can't think of a good reason to rule out plural properties as fundamental...
Here's an argument: Some genuine properties are irreducibly plural [to be argued for elsewhere]. All genuine properties are reducible to fundamental properties. Since there are no singular properties to reduce the plural properties to, some plural properties must be fundamental.
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