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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20363
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Leaves are unequal, but we form the concept 'leaf' by discarding their individual differences [Nietzsche]
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Full Idea:
Every concept arises through the setting equal of the unequal. Just as it is certain that one leaf is never wholly equal to another, so it is certain that the concept leaf is formed by arbitrarily discarding these individual differences.
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From:
Friedrich Nietzsche (On Truth and Lies in a Nonmoral Sense [1872]), quoted by John Richardson - Nietzsche's System 2.1.1 n28
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A reaction:
Nietzsche adds an interesting aspect to psychological abstraction, of abstracting away the differences between things, which we might label as the (further) capacity for Equalisation. If two cars differ only in a blemish, we abstract away the blemish.
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