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Cantor contradicted

From wm <wolfgang.mueckenheim@tha.de>
Newsgroups sci.math
Subject Cantor contradicted
Date 2026-04-29 15:19 +0200
Organization tha
Message-ID <10st0gh$15hfd$1@solani.org> (permalink)

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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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Cantor contradicted wm <wolfgang.mueckenheim@tha.de> - 2026-04-29 15:19 +0200
  Re: Cantor contradicted wm <wolfgang.mueckenheim@tha.de> - 2026-05-01 14:54 +0200

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