Le 20-nov.-07, à 17:59, meekerdb a écrit :

>
> Bruno Marchal wrote:
>> .
>>
>> But infinite ordinals can be different, and still have the same
>> cardinality. I have given examples: You can put an infinity of linear
>> well founded order on the set N = {0, 1, 2, 3, ...}.
>
> What is the definition of "linear well founded order"?  I'm familiar
> with "well ordered", but how is "linear" applied to sets?  Just 
> curious.


By linear, I was just meaning a non branching order. A tree can be well 
founded too, meaning all its branches have a "length" given by an 
ordinal.

Bruno


http://iridia.ulb.ac.be/~marchal/


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