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17014 | The place of a thing is the sum of the places of its parts [Newton] |
Full Idea: The place of a whole is the same as the sum of the places of the parts, and is therefore internal and in the whole body. | |
From: Isaac Newton (Principia Mathematica [1687], Def 8 Schol) | |
A reaction: Note that Newton is talking of the sums of places, and deriving them from the parts. This is the mereology of space. |
13260 | Plato says wholes are either containers, or they're atomic, or they don't exist [Plato, by Koslicki] |
Full Idea: Plato considers a 'container' model for wholes (which are disjoint from their parts) [Parm 144e3-], and a 'nihilist' model, in which only wholes are mereological atoms, and a 'bare pluralities' view, in which wholes are not really one at all. | |
From: report of Plato (works [c.375 BCE]) by Kathrin Koslicki - The Structure of Objects 5.2 | |
A reaction: [She cites Verity Harte for this analysis of Plato] The fourth, and best, seems to be that wholes are parts which fall under some unifying force or structure or principle. |