Ideas from 'Parmenides' by Plato [366 BCE], by Theme Structure
[found in 'Complete Works' by Plato (ed/tr Cooper,John M.) [Hackett 1997,0-87220-349-2]].
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2. Reason / A. Nature of Reason / 1. On Reason
224
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When questions are doubtful we should concentrate not on objects but on ideas of the intellect
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2. Reason / B. Laws of Thought / 5. Opposites
232
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Opposites are as unlike as possible
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2. Reason / C. Styles of Reason / 1. Dialectic
8937
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Plato's 'Parmenides' is the greatest artistic achievement of the ancient dialectic [Hegel]
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5. Theory of Logic / L. Paradox / 3. Antinomies
13986
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Plato found antinomies in ideas, Kant in space and time, and Bradley in relations [Ryle]
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14150
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Plato's 'Parmenides' is perhaps the best collection of antinomies ever made [Russell]
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6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
16150
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One is, so numbers exist, so endless numbers exist, and each one must partake of being
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7. Existence / A. Nature of Existence / 3. Being / c. Becoming
229
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The one was and is and will be and was becoming and is becoming and will become
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7. Existence / A. Nature of Existence / 3. Being / f. Primary being
21821
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Plato's Parmenides has a three-part theory, of Primal One, a One-Many, and a One-and-Many [Plotinus]
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7. Existence / D. Theories of Reality / 3. Reality
221
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Absolute ideas, such as the Good and the Beautiful, cannot be known by us
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8. Modes of Existence / D. Universals / 2. Need for Universals
223
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If you deny that each thing always stays the same, you destroy the possibility of discussion
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227
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You must always mean the same thing when you utter the same name
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8. Modes of Existence / D. Universals / 6. Platonic Forms / a. Platonic Forms
210
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It would be absurd to think there were abstract Forms for vile things like hair, mud and dirt
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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
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211
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If admirable things have Forms, maybe everything else does as well
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219
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If absolute ideas existed in us, they would cease to be absolute
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220
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The concept of a master includes the concept of a slave
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16151
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Plato moves from Forms to a theory of genera and principles in his later work [Frede,M]
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8. Modes of Existence / D. Universals / 6. Platonic Forms / b. Partaking
215
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If things partake of ideas, this implies either that everything thinks, or that everything actually is thought
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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
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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
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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
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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
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8. Modes of Existence / D. Universals / 6. Platonic Forms / c. Self-predication
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)
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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
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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
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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 [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 [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
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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
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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
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25. Social Practice / E. Policies / 5. Education / c. Teaching
222
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Only a great person can understand the essence of things, and an even greater person can teach it
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26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / d. The unlimited
225
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The unlimited has no shape and is endless
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26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / e. The One
233
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Some things do not partake of the One
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2062
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The only movement possible for the One is in space or in alteration
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231
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Everything partakes of the One in some way
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24231
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The One is timeless, has no being or identity, and cannot be known
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28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof
234
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We couldn't discuss the non-existence of the One without knowledge of it
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