FOM: (no subject)
Kanovei
kanovei at wmwap1.math.uni-wuppertal.de
Tue Feb 19 16:09:26 EST 2002
>Date: Mon, 18 Feb 2002 22:11:42 +0100
From: Paul LEVY <levy at pps.jussieu.fr>
>But of course it is obaz that is mathematically more natural
[obaz = counting begins with 0 rather than with 1]
This depends on what and how you count.
One never says considet a triangle A_0A_1A_2, but always
A_1A_2A_3.
As we consider counting intervals of the time line, the
following example shows that you are wrong.
Observation: the first interval of infinite ordinals begins
with Aleph_0 and till Aleph_1, those ordinals are called
first type (or class, whatever) ordinal numbers by Cantor.
See the pattern: interval number n is between timepoint number
(n-1) and timepoint number n,
in particular, first interval between timepoints 0 and 1.
Similarly, the first year AD is between the timepoint
t=0 and timepoint t=1 (year).
This excellently agrees with both mathematics and social
practice.
V.Kanovei
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