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'On the Question of Absolute Undecidability', 'Concluding Unscientific Postscript' and 'works'
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7 ideas
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
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9147
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Number cannot be defined as addition of ones, since that needs the number; it is a single act of abstraction [Fine,K on Leibniz]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
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17890
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There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / j. Infinite divisibility
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19375
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The continuum is not divided like sand, but folded like paper [Leibniz, by Arthur,R]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
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18080
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A tangent is a line connecting two points on a curve that are infinitely close together [Leibniz]
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18081
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Nature uses the infinite everywhere [Leibniz]
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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
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17887
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PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
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17891
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Arithmetical undecidability is always settled at the next stage up [Koellner]
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