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'On the Question of Absolute Undecidability', 'The Structure of Paradoxes of Self-Reference' and 'Words without Objects'
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5 ideas
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
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Some non-count nouns can be used for counting, as in 'several wines' or 'fewer cheeses' [Laycock]
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Some apparent non-count words can take plural forms, such as 'snows' or 'waters' [Laycock]
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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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