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Ideas for 'Parmenides', 'Identity over Time' and 'works'

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10. Modality / A. Necessity / 2. Nature of Necessity
Necessary truths are those provable from identities by pure logic in finite steps [Leibniz, by Hacking]
     Full Idea: Leibniz argued that the necessary truths are just those which can be proved from identities by pure logic in a finite number of steps. ...[232] this claim is vindicated by Gentzen's sequent calculus.
     From: report of Gottfried Leibniz (works [1690]) by Ian Hacking - What is Logic? §01
     A reaction: This seems an odd idea, as if there were no necessary truths other than those for which a proof could be constructed. Sounds like intuitionism.