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Ideas for 'Mahaprajnaparamitashastra', 'Letters to Schlick' and 'Properties'

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9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
If properties are abstract objects, then their being abstract exemplifies being abstract [Swoyer]
     Full Idea: If properties are abstract objects, then the property of being abstract should itself exemplify the property of being abstract.
     From: Chris Swoyer (Properties [2000], 2.2)
     A reaction: Swoyer links this observation with Plato's views on self-predication, and his Third Man Argument (which I bet originated with Aristotle in the Academy!). Do we have a regress of objects, as well as a regress of properties?