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Re: [ontolog-forum] Probabilistic Ontologies

To: "[ontolog-forum]" <ontolog-forum@xxxxxxxxxxxxxxxx>
From: Waclaw Kusnierczyk <Waclaw.Marcin.Kusnierczyk@xxxxxxxxxxx>
Date: Tue, 19 Jun 2007 10:03:20 +0200
Message-id: <46778DC8.8040203@xxxxxxxxxxx>
Barker, Sean (UK) wrote:
> Waclaw
>       Any interval of real numbers has cardinality Aleph-1 (not
> Aleph-0) - that is rather the point of real numbers.     (01)

Right.  Actually, card(R) = 2^aleph_0, which equals aleph^1 according to 
the continuum hypothesis.    (02)

> In the usual
> axiomatizations of Real numbers (and numbers in general) division is the
> inverse of multiplication and 0 is not equal to 1 (the multiplicative
> identity). The use of the Alephs is not part of the real number system.     (03)

Is this to say that the paradox (P(X=x) = 0 and P(exists x: X=x) = 1) is 
supported by this axiomatization?    (04)

vQ    (05)

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