FOM: Dedekind on Numbers

Kanovei kanovei at
Sat Mar 14 10:31:48 EST 1998

<Date: Fri, 13 Mar 1998 14:21:23 +0100 (MEZ)
<From: Walter Felscher <walter.felscher at>

<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, 
as follows: 

... 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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