17884 | Mathematical set theory has many plausible stopping points, such as finitism, and predicativism |

17893 | 'Reflection principles' say the whole truth about sets can't be captured |

17894 | We have no argument to show a statement is absolutely undecidable |

17889 | CH: An infinite set of reals corresponds 1-1 either to the naturals or to the reals |

17890 | There are at least eleven types of large cardinal, of increasing logical strength |

17887 | PA is consistent as far as we can accept, and we expand axioms to overcome limitations |

17891 | Arithmetical undecidability is always settled at the next stage up |