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Ideas for 'Parmenides', 'On boundary numbers and domains of sets' and 'Sameness and Substance Renewed'

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4 ideas

5. Theory of Logic / F. Referring in Logic / 3. Property (λ-) Abstraction
(λx)[Man x] means 'the property x has iff x is a man'. [Wiggins]
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]
Plato's 'Parmenides' is perhaps the best collection of antinomies ever made [Russell on Plato]
The antinomy of endless advance and of completion is resolved in well-ordered transfinite numbers [Zermelo]