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Ideas for 'fragments/reports', 'Wittgenstein on Rules and Private Language' and 'Essay Conc Human Understanding (2nd Ed)'

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5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
Mathematical proofs work, irrespective of whether the objects exist [Locke]
     Full Idea: All the demonstrations of mathematicians are the same, whether there be any square or circle existing in the world or no.
     From: John Locke (Essay Conc Human Understanding (2nd Ed) [1694], 4.04.08)
     A reaction: Musgrave gives this as an early indication of the if-thenist view of mathematics.