Combining Texts

Ideas for 'Parmenides', 'Process and Reality' and 'Rationality and Goodness'

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3 ideas

5. Theory of Logic / G. Quantification / 2. Domain of Quantification
With 'extensive connection', boundary elements are not included in domains [Whitehead, by Varzi]
     Full Idea: In Whitehead's theory of extensive connection, no boundary elements are included in the domain of quantification. ...His conception of space contains no parts of lower dimensions, such as points or boundary elements.
     From: report of Alfred North Whitehead (Process and Reality [1929]) by Achille Varzi - Mereology 3.1
     A reaction: [Varzi says we should see B.L.Clarke 1981 for a rigorous formulation. Second half of the Idea is Varzi p.21]
5. Theory of Logic / L. Paradox / 3. Antinomies
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'
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