- by the set of
ordinals that
precede it. In fact, the most
common definition of
ordinals identifies each
ordinal as the set of
ordinals that
precede it...
-
between different outcomes.
Regnal ordinal, used to
distinguish monarchs and
popes with the same
regnal name
Edwardine Ordinals, two
early liturgical books of...
-
sorts of
prime ordinals: The
finite primes 2, 3, 5, ... The
ordinals of the form ωωα for any
ordinal α.
These are the
prime ordinals that are limits...
- In
proof theory,
ordinal analysis ****igns
ordinals (often
large countable ordinals) to
mathematical theories as a
measure of
their strength. If theories...
- An
ordinal date is a
calendar date
typically consisting of a year and an
ordinal number,
ranging between 1 and 366 (starting on
January 1), representing...
-
definition of
ordinals for
defining all
ordinal numbers,
including the
infinite ones: "each
ordinal is the well-ordered set of all
smaller ordinals." If one...
- non-recursive
ordinals are
large countable ordinals greater than all the
recursive ordinals, and
therefore can not be
expressed using recursive ordinal notations...
- said to be
ordinal definable if, informally, it can be
defined in
terms of a
finite number of
ordinals by a first-order formula.
Ordinal definable sets...
- the
ordinals are
superscripted to
conform to Peirce's style; "2nd" and "3rd" are
emended to "2nd" and "3rd". When
Peirce typed abbreviated ordinals on...
-
countable ordinals. When
considered as a set, the
elements of ω 1 {\displaystyle \omega _{1}} are the
countable ordinals (including
finite ordinals), of which...