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Ideas for 'On Motion', 'Philosophy of Mathematics' and 'A Plea for Substitutional Quantification'

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9. Objects / A. Existence of Objects / 1. Physical Objects
The notion of 'object' is at least partially structural and mathematical [Shapiro]
     Full Idea: The very notion of 'object' is at least partially structural and mathematical.
     From: Stewart Shapiro (Philosophy of Mathematics [1997], 8.1)
     A reaction: [In the context, Shapiro clearly has physical objects in mind] This view seems to fit with Russell's 'relational' view of the physical world, though Russell rejected structuralism in mathematics. I take abstraction to be part of perception.