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14149 | The Achilles Paradox concerns the one-one correlation of infinite classes [Russell] |
Full Idea: When the Achilles Paradox is translated into arithmetical language, it is seen to be concerned with the one-one correlation of two infinite classes. | |
From: Bertrand Russell (The Principles of Mathematics [1903], §321) | |
A reaction: Dedekind's view of infinity (Idea 9826) shows why this results in a horrible tangle. |
15895 | Russell discovered the paradox suggested by Burali-Forti's work [Russell, by Lavine] |
Full Idea: Burali-Forti didn't discover any paradoxes, though his work suggested a paradox to Russell. | |
From: report of Bertrand Russell (The Principles of Mathematics [1903]) by Shaughan Lavine - Understanding the Infinite I |