How about ANY FINITE SEQUENCE AT ALL?

  • stevedice
    link
    fedilink
    English
    arrow-up
    3
    ·
    edit-2
    18 hours ago

    Since Pi is infinite and non-repeating, would that mean any finite sequence of non-repeating digits from 0-9 should appear somewhere in Pi in base 10?

    Does any possible string of infinite non-repeating digits contain every possible finite sequence of non repeating digits?

    Let’s abstract this.

    S = an arbitrary string of numbers

    X = is infinite

    Y = is non-repeating

    Z = contains every possible sequence of finite digits

    Now your statements become:

    Since S is X and Y, does that mean that it’s also Z?

    Does any S that is X and Y, also Z?"