Combining Texts
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'On the Question of Absolute Undecidability', 'Identity and Necessity' and 'The Ethics'
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6 ideas
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
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17185
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Mathematics deals with the essences and properties of forms [Spinoza]
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6. Mathematics / A. Nature of Mathematics / 2. Geometry
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17222
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The sum of its angles follows from a triangle's nature [Spinoza]
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17197
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The idea of a triangle involves truths about it, so those are part of its essence [Spinoza]
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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 / 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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