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Ideas for 'On the Question of Absolute Undecidability', 'The Structure of Paradoxes of Self-Reference' and 'Grundgesetze der Arithmetik 2 (Basic Laws)'

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3 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number

9886	Cardinals say how many, and reals give measurements compared to a unit quantity [Frege]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers

9889	Real numbers are ratios of quantities [Frege, by Dummett]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity

17890

There are at least eleven types of large cardinal, of increasing logical strength [Koellner]