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Ideas for 'Ethical Studies', 'Intermediate Logic' and 'Phil of Mathematics and Natural Science'

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10. Modality / A. Necessity / 6. Logical Necessity
The idea that anything which can be proved is necessary has a problem with empty names [Bostock]
     Full Idea: The common Rule of Necessitation says that what can be proved is necessary, but this is incorrect if we do not permit empty names. The most straightforward answer is to modify elementary logic so that only necessary truths can be proved.
     From: David Bostock (Intermediate Logic [1997], 8.4)