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Ideas of Peter Koellner, by Text
[American, fl. 2006, Professor at Harvard University.]
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2006
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On the Question of Absolute Undecidability
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Intro
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p.2
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17884
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Mathematical set theory has many plausible stopping points, such as finitism, and predicativism
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1.1
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p.4
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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
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1.4
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p.10
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17891
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Arithmetical undecidability is always settled at the next stage up
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1.4
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p.10
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17890
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There are at least eleven types of large cardinal, of increasing logical strength
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2.1
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p.13
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17893
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'Reflection principles' say the whole truth about sets can't be captured
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5.3
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p.37
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17894
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We have no argument to show a statement is absolutely undecidable
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