'Flexible' Predicates of Formal Number Theory |
---|

Kripke (Saul) |

Source: Proceedings of the American Mathematical Society, Vol. 13, No. 4 (Aug., 1962), pp. 647-650 |

Paper - Abstract |

Paper Statistics | Disclaimer |

__Author’s Introduction__

- The famous incompleteness theorem of Godel showed that a formal system containing the usual number theory must have an "undecidable" statement whose truth-value is not determined by the formal system.
- The present note gives an analogous theorem constructing predicates which are "flexible" in the sense that their extensions as sets are left undetermined by the formal system.
- We utilize the recursive-function-theoretic approach of Kleene; knowledge of his work is presupposed, and his notations and terminology will be used freely.

**Text Colour Conventions (see disclaimer)**

- Blue: Text by me; © Theo Todman, 2019
- Mauve: Text by correspondent(s) or other author(s); © the author(s)

© Theo Todman, June 2007 - Jan 2019. | Please address any comments on this page to theo@theotodman.com. | File output: Website Maintenance Dashboard |

Return to Top of this Page | Return to Theo Todman's Philosophy Page | Return to Theo Todman's Home Page |