Even and odd ordinals
id:
even-and-odd-ordinals-197-16167411
title:
Even and odd ordinals
text:
In mathematics, even and odd ordinals extend the concept of parity from the natural numbers to the ordinal numbers. They are useful in some transfinite induction proofs. The literature contains a few equivalent definitions of the parity of an ordinal α: Every limit ordinal is even. The successor of an even ordinal is odd, and vice versa.
Let α = λ + n, where λ is a limit ordinal and n is a natural number. The parity of α is the parity of n.
Let n be the finite term of the Cantor normal form of α
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https://en.wikipedia.org/wiki/Even_and_odd_ordinals
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date modified:
2022-11-18T08:58:18Z
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