Re: Cantor Confusion



mueckenh@xxxxxxxxxxxxxxxxx <mueckenh@xxxxxxxxxxxxxxxxx> wrote:
Further the result o the gedankenexperiment must not depend on
switching numbers. Removing balls 1, 11, 21, ... does not change the
quantities in fact, but according to set theory it does. Therefore set
theory has been contradicted.

No. In mathematics, there is no such things as "balls" or "vases". You
have tried to model some vaguely "real" problem in the world of
mathematics. The outcome is not what you expected it to be. This is no
fault of mathematics, but of the process of modelling. If you try to
cook a stew using a roast recipe, you cannot blame the cookbook for
giving "wrong" instructions.
.


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