# Ordinals Sentence Examples

ordinals
• Similarly, a class of serial relations, called well-ordered serial relations, can be defined, such that their corresponding relation-numbers include the ordinary finite ordinals, but also include relation-numbers which have many properties like those of the finite ordinals, though the fields of the relations belonging to them are not finite.

• This is almost always true of proofs that use countable ordinals.

• Now comes the moment to admit that my ` applications ' of countable ordinals were, in a sense, a con.

• Additional time ordinals can also be expressed using numbers.

• For example, Lisu has up to three preceding and six following day ordinals, also three preceding and three following year ordinals.

• Owing to the correspondence between the finite cardinals and the finite ordinals, the propositions of cardinal arithmetic and ordinal arithmetic correspond point by point.

• The arithmetic of the infinite cardinals does not correspond to that of the infinite ordinals.

• It will suffice to mention here that Peano's fourth premiss of arithmetic does not hold for infinite cardinals or for infinite ordinals.

• Our ability to think about transfinite ordinals is one of the things to be explained.

• The definitions of the finite ordinals can be expressed without use of the corresponding cardinals, so there is no essential priority of cardinals to ordinals.