From what I understand, the class of all real numbers that we can represent as a sentence in logic is countable. But I'm not sure if it's a set under the standard ZF axioms... it seems intuitive that it should be, since the axioms are really designed to prevent problems involving sets that are too large, and countable sets are fairly innocent, but was wondering if anyone knew one way or the other.(adsbygoogle = window.adsbygoogle || []).push({});

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Set of representable real numbers

Loading...

Similar Threads - representable real numbers | Date |
---|---|

I Divisibility of bounded interval of reals | Feb 1, 2018 |

Fourier representation of a random function | Dec 14, 2012 |

Please help me with moving average representations problem | May 7, 2011 |

Decimal representation of reals | Sep 14, 2008 |

Set theory representation of material implication | Jan 1, 2008 |

**Physics Forums - The Fusion of Science and Community**