Combining Texts
Ideas for
'Parmenides', 'The Nature of Things' and 'The Principles of Mathematics'
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21 ideas
8. Modes of Existence / A. Relations / 1. Nature of Relations
21341
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Philosophers of logic and maths insisted that a vocabulary of relations was essential [Russell, by Heil]
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8. Modes of Existence / A. Relations / 4. Formal Relations / a. Types of relation
10586
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'Reflexiveness' holds between a term and itself, and cannot be inferred from symmetry and transitiveness [Russell]
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8. Modes of Existence / A. Relations / 4. Formal Relations / b. Equivalence relation
10585
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Symmetrical and transitive relations are formally like equality [Russell]
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8. Modes of Existence / B. Properties / 5. Natural Properties
15728
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The naturalness of a class depends as much on the observers as on the objects [Quinton]
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9407
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Properties imply natural classes which can be picked out by everybody [Quinton]
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8. Modes of Existence / D. Universals / 2. Need for Universals
227
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You must always mean the same thing when you utter the same name [Plato]
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223
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If you deny that each thing always stays the same, you destroy the possibility of discussion [Plato]
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8. Modes of Existence / D. Universals / 4. Uninstantiated Universals
15729
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Uninstantiated properties must be defined using the instantiated ones [Quinton]
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8. Modes of Existence / D. Universals / 6. Platonic Forms / a. Platonic Forms
211
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If admirable things have Forms, maybe everything else does as well [Plato]
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219
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If absolute ideas existed in us, they would cease to be absolute [Plato]
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228
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Greatness and smallness must exist, to be opposed to one another, and come into being in things [Plato]
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16151
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Plato moves from Forms to a theory of genera and principles in his later work [Plato, by Frede,M]
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210
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It would be absurd to think there were abstract Forms for vile things like hair, mud and dirt [Plato]
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220
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The concept of a master includes the concept of a slave [Plato]
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8. Modes of Existence / D. Universals / 6. Platonic Forms / b. Partaking
218
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Participation is not by means of similarity, so we are looking for some other method of participation [Plato]
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212
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The whole idea of each Form must be found in each thing which participates in it [Plato]
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215
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If things partake of ideas, this implies either that everything thinks, or that everything actually is thought [Plato]
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213
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Each idea is in all its participants at once, just as daytime is a unity but in many separate places at once [Plato]
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216
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If things are made alike by participating in something, that thing will be the absolute idea [Plato]
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8. Modes of Existence / D. Universals / 6. Platonic Forms / c. Self-predication
214
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If absolute greatness and great things are seen as the same, another thing appears which makes them seem great [Plato]
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217
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Nothing can be like an absolute idea, because a third idea intervenes to make them alike (leading to a regress) [Plato]
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