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Quote: classical mathematics requires and assumes universals as values of its bound variables; e.g., numbers
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Group:
philosophy of mathematics
Topic:
abstraction
Topic:
number and arithmetic as part of language
Topic:
meaning by use
Quotation Skeleton
That classical mathematics treats of universals, or affirms … variables. When we say, for example, (.thereExists.x)(x is … exceeds a million; and any such entity is … theory if and only if some of them … the theory be true. … What there is does not in general depend … Google-1 Google-2
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Additional Titles
Quote: what there is does not in general depend on one's use of language, but what one says there is does
Group: philosophy of mathematics (11 topics, 330 quotes)
Topic: abstraction (62 items)
Topic: number and arithmetic as part of language (30 items)
Topic: meaning by use (58 items)