Combining Texts
Ideas for
'Parmenides', 'fragments/reports' and 'Frege philosophy of mathematics'
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13 ideas
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
9885
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The existence of abstract objects is a pseudo-problem [Dummett]
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9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
9858
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Abstract objects nowadays are those which are objective but not actual [Dummett]
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9859
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It is absurd to deny the Equator, on the grounds that it lacks causal powers [Dummett]
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9860
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'We've crossed the Equator' has truth-conditions, so accept the Equator - and it's an object [Dummett]
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9. Objects / A. Existence of Objects / 2. Abstract Objects / d. Problems with abstracta
9872
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Abstract objects need the context principle, since they can't be encountered directly [Dummett]
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9. Objects / B. Unity of Objects / 1. Unifying an Object / b. Unifying aggregates
15851
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Parts must belong to a created thing with a distinct form [Plato]
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9. Objects / C. Structure of Objects / 5. Composition of an Object
15846
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In Parmenides, if composition is identity, a whole is nothing more than its parts [Plato, by Harte,V]
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9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
15849
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Plato says only a one has parts, and a many does not [Plato, by Harte,V]
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15850
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Anything which has parts must be one thing, and parts are of a one, not of a many [Plato]
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9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
13259
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It seems that the One must be composed of parts, which contradicts its being one [Plato]
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9. Objects / F. Identity among Objects / 2. Defining Identity
9848
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Content is replaceable if identical, so replaceability can't define identity [Dummett, by Dummett]
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9842
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Frege introduced criteria for identity, but thought defining identity was circular [Dummett]
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9. Objects / F. Identity among Objects / 6. Identity between Objects
15847
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Two things relate either as same or different, or part of a whole, or the whole of the part [Plato]
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