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Ideas for 'Structures and Structuralism in Phil of Maths', 'Philosophy of Mathematics' and 'Abstract Objects'

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8. Modes of Existence / E. Nominalism / 1. Nominalism / c. Nominalism about abstracta

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Objections to Frege: abstracta are unknowable, non-independent, unstatable, unindividuated [Hale]

8. Modes of Existence / E. Nominalism / 6. Mereological Nominalism

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A nominalist might avoid abstract objects by just appealing to mereological sums [Reck/Price]