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  • Cantor contradicted

    From wm@wolfgang.mueckenheim@tha.de to sci.math on Wed Apr 29 15:19:14 2026
    From Newsgroup: sci.math

    The Binary Tree has countably many nodes and, according to Cantor,
    uncountably many paths.

    But the basic element of the Binary Tree is the node
    |
    o
    / \
    which splits an incoming sheave of paths into two sheaves of paths,
    i.e., it makes one more sheaf distinguishable from the already separated sheaves.

    Therefore only countably many sheaves of paths (inclusing those carrying
    only one path) can get separated.

    Regards WM


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  • From wm@wolfgang.mueckenheim@tha.de to sci.math on Fri May 1 14:54:21 2026
    From Newsgroup: sci.math

    Am 29.04.2026 um 15:19 schrieb wm:
    The Binary Tree has countably many nodes and, according to Cantor, uncountably many paths.

    But the basic element of the Binary Tree is the node
    -a|
    -ao
    / \
    which splits an incoming sheave of paths into two sheaves of paths,
    i.e., it makes one more sheaf distinguishable from the already separated sheaves.

    Therefore only countably many sheaves of paths (inclusing those carrying only one path) can get separated.

    Regards WM


    No attempt to save set theory.

    Regards, WM
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