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| 24137 | Mathematics is just accurate inferences from definitions, and doesn't involve objects [Nietzsche] |
| Full Idea: Mathematics contains axioms (definitions) and conclusions from definitions. Its objects do not exist. The truth of its conclusions rests on the accuracy of logical thought. | |
| From: Friedrich Nietzsche (Unpublished Notebooks 1884-85 [1884], 25[307]) | |
| A reaction: Not suprising to find Nietzsche defying platonism. This is evidence that he was a systematic philosopher, who knew mathematics could be a challenge to his naturalism. |