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From: Julio Di Egidio <julio@diegidio.name>
Newsgroups: sci.math
Subject: All infinities are countable in ordinary mathematics
Date: Sun, 4 May 2025 15:27:01 +0200
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If there exist definite transfinite numbers, then their
reciprocals must be infinitesimals, not zero.  Which is
good, as infinitesimals necessitate specific additional
laws, reciprocally making the transfinite sharper.  And
one issue is immediately apparent: infinitesimals are
not compatible with the Archimedean principle.  Ergo,
all infinities are countable in ordinary mathematics.

Julio