Combining Texts
Ideas for
'Parmenides', 'works' and 'Introduction to Mathematical Philosophy'
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24 ideas
8. Modes of Existence / A. Relations / 4. Formal Relations / a. Types of relation
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14430
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If a relation is symmetrical and transitive, it has to be reflexive [Russell]
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14432
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'Asymmetry' is incompatible with its converse; a is husband of b, so b can't be husband of a [Russell]
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8. Modes of Existence / B. Properties / 10. Properties as Predicates
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8534
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Quine says the predicate of a true statement has no ontological implications [Quine, by Armstrong]
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8. Modes of Existence / B. Properties / 12. Denial of Properties
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10295
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Quine suggests that properties can be replaced with extensional entities like sets [Quine, by Shapiro]
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3322
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Quine says that if second-order logic is to quantify over properties, that can be done in first-order predicate logic [Quine, by Benardete,JA]
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6078
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Quine brought classes into semantics to get rid of properties [Quine, by McGinn]
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8479
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Don't analyse 'red is a colour' as involving properties. Say 'all red things are coloured things' [Quine, by Orenstein]
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8. Modes of Existence / D. Universals / 2. Need for Universals
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227
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You must always mean the same thing when you utter the same name [Plato]
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3751
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Universals are acceptable if they are needed to make an accepted theory true [Quine, by Jacquette]
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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 / 6. Platonic Forms / a. Platonic Forms
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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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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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8. Modes of Existence / D. Universals / 6. Platonic Forms / b. Partaking
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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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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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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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8. Modes of Existence / D. Universals / 6. Platonic Forms / c. Self-predication
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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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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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8. Modes of Existence / E. Nominalism / 5. Class Nominalism
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7970
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Quine is committed to sets, but is more a Class Nominalist than a Platonist [Quine, by Macdonald,C]
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