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2 ideas
| 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| From: Friedrich Nietzsche (Unpublished Notebooks 1884-85 [1884], 25[307]) | |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. |
| 4730 | For Aristotle, the subject-predicate structure of Greek reflected a substance-accident structure of reality [Aristotle, by O'Grady] |
| Full Idea: Aristotle apparently believed that the subject-predicate structure of Greek reflected the substance-accident nature of reality. | |
| From: report of Aristotle (works [c.330 BCE]) by Paul O'Grady - Relativism Ch.4 | |
| A reaction: We need not assume that Aristotle is wrong. It is a chicken-and-egg. There is something obvious about subject-predicate language, if one assumes that unified objects are part of nature, and not just conventional. |