Definition:Transfinite Ordinal

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Definition

Let $\alpha$ be an ordinal.


Then $\alpha$ is said to be transfinite if and only if it is an infinite set.


Countable Ordinal

Let $\alpha$ be an ordinal.


Then $\alpha$ is said to be countable if and only if it is an countable set.


Uncountable Ordinal

Let $\alpha$ be an ordinal.


Then $\alpha$ is said to be uncountable if and only if it is an uncountable set.


Also known as

A transfinite ordinal is also known as an infinite ordinal.


Also see


Sources