Combining Texts
Ideas for
'Parmenides', 'Identity' and 'Substitutional Classes and Relations'
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14 ideas
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 / E. Objects over Time / 4. Four-Dimensionalism
16024
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I could have died at five, but the summation of my adult stages could not [Noonan]
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9. Objects / E. Objects over Time / 5. Temporal Parts
16023
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Stage theorists accept four-dimensionalism, but call each stage a whole object [Noonan]
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9. Objects / F. Identity among Objects / 2. Defining Identity
16015
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Problems about identity can't even be formulated without the concept of identity [Noonan]
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16017
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Identity is usually defined as the equivalence relation satisfying Leibniz's Law [Noonan]
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16016
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Identity definitions (such as self-identity, or the smallest equivalence relation) are usually circular [Noonan]
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16020
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Identity can only be characterised in a second-order language [Noonan]
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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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9. Objects / F. Identity among Objects / 8. Leibniz's Law
16018
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Indiscernibility is basic to our understanding of identity and distinctness [Noonan]
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16019
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Leibniz's Law must be kept separate from the substitutivity principle [Noonan]
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