ordinals
Synonyms
Antonyms
Examples
Also observe that: * Disks whose ordinals have even parity move in the same sense as the smallest disk.
A triple is a surreal number system if and only if the following hold: * < is a total order over No * b is a function from No onto the class of all ordinals (b is called the "birthday function" on No).
Any limit of regular ordinals is a limit of initial ordinals and thus is also initial but need not be regular.
Chinese uses cardinal numbers in certain situations in which English would use ordinals.
Finally, he developed the multiplication operator, and proved that the surreals are actually a field, and that it includes both the reals and ordinals.
However, similar definitions can be made that eliminate the need for prior construction of the ordinals.