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5105 | The incommensurability of the diagonal always exists, and so it is not in time [Aristotle] |
Full Idea: The incommensurability of the diagonal always exists, and so it is not in time. | |
From: Aristotle (Physics [c.337 BCE], 221b36) | |
A reaction: This must make Aristotle sympathetic to Platonism in mathematics, even though he rejects the full theory of Forms. Such a view is not uncommon among modern philosophers. Presumably the incommensurability is true in all possible worlds? 'In'? |
5992 | Chrysippus says action is the criterion for existence, which must be physical [Chrysippus, by Tieleman] |
Full Idea: Chrysippus regarded power to act and be acted upon as the criterion for existence or being - a test satisfied by bodies alone. | |
From: report of Chrysippus (fragments/reports [c.240 BCE]) by Teun L. Tieleman - Chrysippus | |
A reaction: This defines existence in terms of causation. Is he ruling out a priori a particle (say) which exists, but never interacts with anything? If so, he is inclining towards anti-realism. |