[Trac] [OpenMath] #60: CD limit1

OpenMath trac at strawberry.eecs.jacobs-university.de
Fri Sep 12 16:07:01 CEST 2008


#60: CD limit1
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     Reporter:  jauecker      |          Owner:  kohlhase  
         Type:  proposal      |         Status:  new       
     Priority:  major         |      Milestone:  CD3 Draft1
    Component:  OM3 Standard  |        Version:            
   Resolution:                |       Keywords:            
Include_gantt:  0             |   Dependencies:            
   Due_assign:  YYYY/MM/DD    |      Due_close:  YYYY/MM/DD
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Comment (by jauecker):

 '''Chris:'''


 >>The limits need functions on a totally ordered set (and some toplogy on
 the codomain).

 >as above, it needs that for the limit to exist, but it doesn't need that
 to create the expression term.

 Not quite: my point was badly expressed. I meant that, for example,
 for left-right limits the totality is needed to give meaning to the
 concept, independent of the existence of a limit.  Otherwise it is
 like saying that + needs only a set (which I would be quite happy with)
 but for that one we explicitly invoke the magic of a semi-group.

 But again the details are not the genuine issue: it is the randomness
 of the explicit assumptions and the existence of a whole host of
 implicit ones that concerns me.

 So I am not disagreeing with David's idea of using nothing except
 comforting expressions that say absolutely nothing at all. Like:

 >mean is the operator element representing a mean  or average.

 [Although I would remove 'or average' here as it is misleading (there
 are lots of 'averages' but we only mean the one called 'the mean'.]

 Iam saying, yet again, that we need to have a clear policy and be
 reasonably consistent in applying it (for 'K-12 oriented decsriptions
 in MathML', not necessarily for the CDs).

-- 
Ticket URL: <https://trac.kwarc.info/OM3/ticket/60#comment:2>
OpenMath <http://www.openmath.org>
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