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13986 | Plato found antinomies in ideas, Kant in space and time, and Bradley in relations [Plato, by Ryle] |
Full Idea: Plato (in 'Parmenides') shows that the theory that 'Eide' are substances, and Kant that space and time are substances, and Bradley that relations are substances, all lead to aninomies. | |
From: report of Plato (Parmenides [c.364 BCE]) by Gilbert Ryle - Are there propositions? 'Objections' |
14150 | Plato's 'Parmenides' is perhaps the best collection of antinomies ever made [Russell on Plato] |
Full Idea: Plato's 'Parmenides' is perhaps the best collection of antinomies ever made. | |
From: comment on Plato (Parmenides [c.364 BCE]) by Bertrand Russell - The Principles of Mathematics §337 |
4229 | An infinite series of tasks can't be completed because it has no last member [Lowe] |
Full Idea: It appears to be impossible to complete an infinite series of tasks, since such a series has, by definition, no last member. | |
From: E.J. Lowe (A Survey of Metaphysics [2002], p.290) | |
A reaction: This pinpoints the problem. So are there infinite tasks in a paradox of subdivision like the Achilles? |