Combining Texts
Ideas for
'Parmenides', 'There are no ordinary things' and 'Explanation in Mathematics'
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8 ideas
9. Objects / A. Existence of Objects / 5. Simples
16070
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There are no objects with proper parts; there are only mereological simples [Unger, by Wasserman]
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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 / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
13166
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Essences are no use in mathematics, if all mathematical truths are necessary [Mancosu]
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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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