Quentin Anciaux skrev:
> Le Thursday 29 November 2007 18:52:36 Torgny Tholerus, vous avez écrit :
>> Quentin Anciaux skrev:
>>> What is the production rules of the "no"set R ?
>> How do you define "the set R"?
> http://en.wikipedia.org/wiki/Construction_of_real_numbers
> Choose your method...

The most important part of that definition is:

4. The order ? is /complete/ in the following sense: every non-empty 
subset of *R* bounded above <http://en.wikipedia.org/wiki/Upper_bound> 
has a least upper bound <http://en.wikipedia.org/wiki/Least_upper_bound>.

This definition can be translated to:

"If you have a production rule that produces rational numbers that are 
bounded above, then this production rule is producing a real number."

This is the production rule for real numbers.


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