Phil Henshaw wrote:
> You seem to suggest it is 'illformed' to have local knowledge and unanswered
> contextual questions.

No, not at all.  One can easily have an incomplete math representation 
of some aspect of a concrete thing.  But one cannot have a complete math 
representation of some aspect of a concrete thing and still have part of 
that aspect unrepresented.  I.e. one cannot have a complete 
representation that is incomplete.  That's just plain self-contradictory.

I have no problems with incomplete representations.  We use them all the 
time.

> It may be 'illformed' in a very real sense, but also
> the most common of the circumstances we find ourselves in.  To date science
> has primarily been an art and craft of mathematical representation of things
> out of their context, leaving it to engineers to deal with the 'messy bits'.
> I'd like to turn science into an art and craft using math to explore our
> contexts.  So I would find the question well formed, and propose a variety
> of exploratory procedures for investigating the environment of he button to
> "catch the thread" of it's connections to other things...

OK.  So perhaps you might be willing to change your question to:  "Given 
an INcomplete math representation of a button, how would you derive a 
math representation of a button hole?"  If you did that, then we might 
be able to formulate an answer.  However, although that modified 
question is well-formed, it is too vague.  We'd need to see an example 
math representation of the button to know what's there and what's missing.

-- 
glen e. p. ropella, 971-219-3846, http://tempusdictum.com


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