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'On the Question of Absolute Undecidability', 'Concluding Unscientific Postscript' and 'Writings from Late Notebooks'
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4 ideas
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
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Counting needs unities, but that doesn't mean they exist; we borrowed it from the concept of 'I' [Nietzsche]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
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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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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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Arithmetical undecidability is always settled at the next stage up [Koellner]
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