Combining Texts

Ideas for 'Meno', 'Parmenides' and 'Introducing the Philosophy of Mathematics'

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7 ideas

9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta

8704	Structuralists call a mathematical 'object' simply a 'place in a structure' [Friend]

9. Objects / B. Unity of Objects / 1. Unifying an Object / b. Unifying aggregates

15851

Parts must belong to a created thing with a distinct form [Plato]

9. Objects / C. Structure of Objects / 5. Composition of an Object

15846

In Parmenides, if composition is identity, a whole is nothing more than its parts [Plato, by Harte,V]

9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects

15849

Plato says only a one has parts, and a many does not [Plato, by Harte,V]

15850

Anything which has parts must be one thing, and parts are of a one, not of a many [Plato]

9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts

13259

It seems that the One must be composed of parts, which contradicts its being one [Plato]

9. Objects / F. Identity among Objects / 6. Identity between Objects

15847

Two things relate either as same or different, or part of a whole, or the whole of the part [Plato]