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Re: [uom-ontology-std] retitled: magnitude of a quantity

To: Pat Hayes <phayes@xxxxxxx>, uom-ontology-std <uom-ontology-std@xxxxxxxxxxxxxxxx>, ingvar_johansson <ingvar.johansson@xxxxxxxxxxxxx>
From: "John F. Sowa" <sowa@xxxxxxxxxxx>
Date: Tue, 21 Jul 2009 02:37:03 EST
Message-id: <4a65620f.a419.0@xxxxxxxxxxx>

PH>Dimensional analysis? Writing general code to convert between units?
>
> I would say that 'meter' denotes a function from lengths to
> numbers, and one meter is the length, such that the value of
> that function when applied to it, >is the number 1:
>
>(the (x) (= (meter x) 1) )
>
>And by the way, (= meter metre)    (01)

I like that analysis -- especially because it does not introduce
any ontological notions that are not already present in logic
and elementary math.    (02)

IJ> To have the value 1 is also to have a value. On the other
> hand, a value without a unit is just a pure mathematical
> number. I think Graybeal's distinction should be replaced by
> the following:
> 0) Base units
> 1) Values of base units.    (03)

I also like that analysis.  But it has to be extended to angles,
since we have to support multiple functions that map angles to
numbers:  degree and radian.    (04)

John Sowa    (05)

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