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Ideas for
'works', 'Substance and Individuation in Leibniz' and 'Sets, Aggregates and Numbers'
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5 ideas
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
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17817
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Defining 'three' as the principle of collection or property of threes explains set theory definitions [Yourgrau]
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6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / e. Caesar problem
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10232
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Property extensions outstrip objects, so shortage of objects caused the Caesar problem [Cantor, by Shapiro]
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6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
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18176
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Pure mathematics is pure set theory [Cantor]
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6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
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17815
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We can't use sets as foundations for mathematics if we must await results from the upper reaches [Yourgrau]
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17821
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You can ask all sorts of numerical questions about any one given set [Yourgrau]
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