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Omega is the first transinite ordinal in the set of 0, 1, 2, ...,
,
,
, ...
This set is well ordered, so
is after
therefore
is before
.
What is before
?
Options:
1.
-1
This is confusing, since if
is the first transfinite ordinal, then
-1 should be the last finite ordinal, which simply does not exist.
2. Undefined
3. Nothing (just like in the set of natural numbers (N_{1}), there is nothing before one)
Thank you for the replys.
This set is well ordered, so
What is before
Options:
1.
This is confusing, since if
2. Undefined
3. Nothing (just like in the set of natural numbers (N_{1}), there is nothing before one)
Thank you for the replys.