Combining Texts
Ideas for
'Material Beings', 'Introduction to Mathematical Philosophy' and 'Constructibility and Mathematical Existence'
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6 ideas
6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
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14465
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Maybe numbers are adjectives, since 'ten men' grammatically resembles 'white men' [Russell]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
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13414
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For Russell, numbers are sets of equivalent sets [Russell, by Benacerraf]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
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10265
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Chihara's system is a variant of type theory, from which he can translate sentences [Chihara, by Shapiro]
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8759
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We can replace type theory with open sentences and a constructibility quantifier [Chihara, by Shapiro]
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6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
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10264
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Introduce a constructibility quantifiers (Cx)Φ - 'it is possible to construct an x such that Φ' [Chihara, by Shapiro]
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6. Mathematics / C. Sources of Mathematics / 10. Constructivism / e. Psychologism
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14449
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There is always something psychological about inference [Russell]
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