Le Thursday 29 November 2007 19:28:05 Torgny Tholerus, vous avez écrit : > 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.
And how this render the *set R* ]-infinity,infinity[ finite/limited or even the set N [0,infinity[ ? If as you say you have elements/events/... after the last element/event/... it is totally contradictory and meaning less to call it last... If I take it as a demonstration by absurd, then you've just demonstrated that there exists no last element/event/... How can you avoid this contradiction ? Regards, Quentin Anciaux -- All those moments will be lost in time, like tears in the rain. --~--~---------~--~----~------------~-------~--~----~ You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to [EMAIL PROTECTED] To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/everything-list?hl=en -~----------~----~----~----~------~----~------~--~---