FOM: Dedekind on Numbers
kanovei at wminf2.math.uni-wuppertal.de
Sat Mar 14 10:31:48 EST 1998
<Date: Fri, 13 Mar 1998 14:21:23 +0100 (MEZ)
<From: Walter Felscher <walter.felscher at uni-tuebingen.de>
<D1. Dedekind proposes to view numbers as creations of the
< human mind. That they are manifestations of its creative
< power is the principal reason which Dedekind puts
< forward against Weber's reductionist propositions.
Cuts in Q are not less "creations of the human mind" as
the reals. Thus I would interpret D's view, more sharply,
... view [real] numbers as creations of the human mind,
which existed prior to and independently of the presentation
of them as cuts or any other similar one.
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