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[uom-ontology-std] Four "quantity" concepts

To: uom-ontology-std <uom-ontology-std@xxxxxxxxxxxxxxxx>
From: David Leal <david.leal@xxxxxxxxxxxxxxxxxxx>
Date: Wed, 19 Aug 2009 19:45:03 +0100
Message-id: <1.5.4.32.20090819184503.02007a9c@xxxxxxxxxxxxxxxx>
Dear All,    (01)

Ed asks:
>Per my previous "concept set",
>  Q1 is 'particular quantity', the class of individual quantifiable 
>properties of individual things (the tropes).
>Example: the length of my thumb (and no one else's thumb)
>  Q2 is VIM 'kind of quantity', the class whose members are subtypes of 
>Q1 in which all the individual properties are comparable.
>Example: length, seen as the class of properties to which "the length of 
>my thumb" belongs.
>  Q3 is '(quantity) magnitude', the class whose members are equivalence 
>classes, each of which comprises all properties in Q1 that compare as equal.
>Example: the length magnitude called "5cm", which includes the length of 
>my thumb, the height of my coffee cup, and so on.
>  Q4 is UOM 'kind of quantity', the class whose members are subtypes of 
>Q3 in which all the members of all the magnitude equivalence classes 
>belong to the same Q2, the same VIM 'kind of quantity'.
>Example: length, seen as the class of magnitudes named "5cm" and "4 
>miles" and the like.
>  'measurement unit' is a subclass of 'quantity magnitude', each 
>measurement unit is a specific magnitude of a specific UOM 'kind of 
>quantity'.
>
>This matches the terminology David's draft uses, except that he doesn't 
>distinguish Q2 from Q4.  Do we agree to this terminology?    (02)

I agree with this, and have added the definitions of the four concepts
within "quantity" to the Wiki at
http://ontolog.cim3.net/cgi-bin/wiki.pl?UoM_Ontology_Standard#nid20L3 . I
have done a little wordsmithing in the definitions, and hope that Ed is
still happy with them.    (03)

A brief note on how these concepts relate to the strawman UML diagrams is at
http://ontolog.cim3.net/cgi-bin/wiki.pl?UoM_Ontology_Standard#nid20LK .    (04)

The difference between Q2 and Q4 is important and needs some thought. An
informal explanation of the difference is at
http://ontolog.cim3.net/cgi-bin/wiki.pl?UoM_Ontology_Standard#nid20LQ .    (05)

Best regards,
David    (06)

============================================================
David Leal
CAESAR Systems Limited
registered office: 29 Somertrees Avenue, Lee, London SE12 0BS
registered in England no. 2422371
tel:      +44 (0)20 8857 1095
mob:      +44 (0)77 0702 6926
e-mail:   david.leal@xxxxxxxxxxxxxxxxxxx
web site: http://www.caesarsystems.co.uk
============================================================    (07)



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