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Ideas for 'Parmenides', 'Reference and Generality (3rd ed)' and 'A Short History of Decay'

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3 ideas

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
An axiom has no more authority than a frenzy [Cioran]
     Full Idea: This earth is a place where can confirm anything with an equal likelihood: here axioms and frenzies are interchangeable.
     From: E.M. Cioran (A Short History of Decay [1949], 3)
     A reaction: A perceptive and poetic expression of the modern anti-Euclidean and anti-Fregean view of axioms, as purely formal features of a model or system.
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