Re: [lojban] Transfinite ordinals

[pycyn@aol.com]

In a message dated 00-06-04 21:20:26 EDT, you write:

<<  notice that Lojban has a word for transfinite cardinals, but not for
 transfinite ordinals.
 
 Transfinite cardinals (denoted by Hebrew letters with subscripts) tell the
 number of elements in a set; transfinite ordinals (denoted by Greek letters)
 tell how it is ordered. For instance, the set of all positive integers has
 cardinality aleph-null and ordinality omega. The set of all positive integers
 and aleph-null still has cardinality aleph-null, but its ordinality is 
omega+1.
 The set of all ordered pairs of positive integers has ordinality omega*omega,
 but its cardinality is still aleph-null.
 
 Anyone want to add a word for these? >>

Will we do better than <.o'obu>?  Adding all the paraphenalia of subscripts 
and the like, can get most of these.  And, of course, there are all those 
other order types than the well-ordering (I forget the main ones: eta? and 
iota? for dense and continuous?) and even the extreme well-orderings -- of 
omegas and then the inaccessibles.  If we ever need those (and I hope it is 
rarely) we will get the signs we need for them.

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