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13236 | Logical truth is much more important if mathematics rests on it, as logicism claims [Beall/Restall] |
Full Idea: If mathematical truth reduces to logical truth then it is important what counts as logically true, …but if logicism is not a going concern, then the body of purely logical truths will be less interesting. | |
From: JC Beall / G Restall (Logical Pluralism [2006], 2.2) | |
A reaction: Logicism would only be one motivation for pursuing logical truths. Maybe my new 'Necessitism' will derive the Peano Axioms from broad necessary truths, rather than from logic. |