First, can all aleph 1 sets be generalized as sets of infinitely wide tuples? As in, let [itex]a_1a_2_a3 \ldots \in \Re[/itex] map to [itex](a_1, a_2, a_3, \ldots)[/itex].(adsbygoogle = window.adsbygoogle || []).push({});

Second, if countably infinite sets are n-tuples, aleph 1 sets are infinite tuples, can this pattern be generalized to even higher cardinality?

**Physics Forums | Science Articles, Homework Help, Discussion**

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

# Real numbers as infinitly wide tuples, what is aleph 2?

Loading...

Similar Threads for Real numbers infinitly |
---|

I Repeatability of necessity: number restrictions? |

B Problem in Counting - Number of Passwords |

I Partitioning a whole number in a particular way |

I Divisibility of bounded interval of reals |

I Combination of Non Adjacent Numbers |

**Physics Forums | Science Articles, Homework Help, Discussion**