8511
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Stout first explicitly proposed that properties and relations are particulars [Stout,GF, by Campbell,K]
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Full Idea:
In modern times, it was G.F. Stout who first explicitly made the proposal that properties and relations are as particular as the substances that they qualify.
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From:
report of G.F. Stout (The Nature of Universals and Propositions [1923]) by Keith Campbell - The Metaphysic of Abstract Particulars §1
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A reaction:
Note that relations will have to be tropes, as well as properties. Williams wants tropes to be parts of objects, but that will be tricky with relations. If you place two objects on a table, how does the 'to the left of' trope come into existence?
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13231
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Explanatory proofs rest on 'characterizing properties' of entities or structure [Steiner,M]
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Full Idea:
My proposal is that an explanatory proof makes reference to the 'characterizing property' of an entity or structure mentioned in the theorem, where the proof depends on the property. If we substitute a different object, the theory collapses.
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From:
Mark Steiner (Mathematical Explanation [1978], p.34)
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A reaction:
He prefers 'characterizing property' to 'essence', because he is not talking about necessary properties, since all properties are necessary in mathematics. He is, in fact, reverting to the older notion of an essence, as the core power of the thing.
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