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[lojban] continuum hypothesis
I am the shepherd of {ci'i}. li ci'ino = aleph null, li ci'ipa = aleph one,
etc. Those are cardinal numbers. Then there are ordinal numbers; the smallest
ordinal with cardinality aleph null is called omega, but then you can add any
natural number to omega and it still has cardinality aleph null, you can
square omega, or raise it to any integer power, and it still has cardinality
aleph null. The cardinality of the continuum is 2^(aleph null), which is the
same as (aleph null)^(aleph null). It is denoted by 'c' in some particular
font. The continuum hypothesis states that 2^(aleph null)=aleph one. For
those (including me) who believe that the hypothesis is false, how should we
call the cardinality of the continuum? How should we call the transfinite
ordinals?
phma
--
li fi'u vu'u fi'u fi'u du li pa