I was reading an introductory chapter on probability related to sample spaces. It had a mention that for uncountably infinite sets, ie. in sets in which 1 to 1 mapping of its elements with positive integers is not possible, the number of subsets is not 2^n.(adsbygoogle = window.adsbygoogle || []).push({});

I certainly find this very unintuitive, for eg. the set of all real numbers is an uncountably infinite set, I suppose.

Could someone throw some light on the topic with some examples. What happens when we look at probabilities of events in these sets?

Thanks

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

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

# Subsets of non countably infinite sets

Loading...

Similar Threads - Subsets countably infinite | Date |
---|---|

B Subsets of Rational Numbers and Well-Ordered Sets | May 31, 2017 |

I Sets, Subsets, Possible Relations | Feb 23, 2017 |

Subsets of a countable set | Mar 28, 2012 |

Every infinite set contains an infinite, countable subset? | Jul 16, 2011 |

Subsets of the set of primes - uncountable or countable? | Mar 27, 2010 |

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