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3 ideas
19632 | 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. |
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 |