Combining Texts

Ideas for 'talk', 'How Things Persist' and 'The Nature of Mathematical Knowledge'

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2 ideas

9. Objects / A. Existence of Objects / 1. Physical Objects
An object is 'natural' if its stages are linked by certain non-supervenient relations [Hawley]
     Full Idea: I suggest that our distinction between natural and unnatural (gerrymandered) objects corresponds to a distinction between series of stages which are and are not linked by certain non-supervenient relations.
     From: Katherine Hawley (How Things Persist [2001], 5.5)
     A reaction: See Idea 16213 for the nature of these 'relations'. I don't understand how an abstraction (as I take it) like a relation can unify a physical object. A trout-turkey is unified by a relation of some sort. Hawley defends Stage Theory.
9. Objects / A. Existence of Objects / 2. Abstract Objects / b. Need for abstracta
Abstract objects were a bad way of explaining the structure in mathematics [Kitcher]
     Full Idea: The original introduction of abstract objects was a bad way of doing justice to the insight that mathematics is concerned with structure.
     From: Philip Kitcher (The Nature of Mathematical Knowledge [1984], 06.1)
     A reaction: I'm a fan of explanations in metaphysics, and hence find the concept of 'bad' explanations in metaphysics particularly intriguing.