Combining Texts
Ideas for
'On Wisdom', 'Vagaries of Definition' and 'Plurals and Complexes'
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6 ideas
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
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10680
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The theory of the transfinite needs the ordinal numbers [Hossack]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
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10684
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I take the real numbers to be just lengths [Hossack]
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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
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10674
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A plural language gives a single comprehensive induction axiom for arithmetic [Hossack]
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6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
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10681
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In arithmetic singularists need sets as the instantiator of numeric properties [Hossack]
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8203
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All the arithmetical entities can be reduced to classes of integers, and hence to sets [Quine]
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10685
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Set theory is the science of infinity [Hossack]
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