8460
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Philosophers have given precise senses to deduction, probability, computability etc [Quine/Ullian]
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Full Idea:
Successful explications (giving a precise sense to a term) have been found for the concepts of deduction, probability and computability, to name just three.
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From:
W Quine / J Ullian (The Web of Belief [1970], 65), quoted by Alex Orenstein - W.V. Quine Ch.3
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A reaction:
Quine also cites the concept of an 'ordered pair'. Orenstein adds Tarski's definition of truth, Russell's definite descriptions, and the explication of existence in terms of quantifications. Cf. Idea 2958.
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19382
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Abstracta are abbreviated ways of talking; there are just substances, and truths about them [Leibniz]
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Full Idea:
I consider abstracta not as real things but as abbreviated ways of talking ...and to that extent I am a nominalist, at least provisionally ...It suffices to posit only substances as real things, and, to assert truths about these.
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From:
Gottfried Leibniz (On the Reality of Accidents [1688]), quoted by Richard T.W. Arthur - Leibniz
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A reaction:
I am a modern nominalist, in my hostility to a serious ontological commitment to abstracta. You get into trouble, though, if you say there are only objects or substances. Physics says reality may all be 'fields', or something.... 'Truths' is good.
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