Question

Mention standard definition countable and uncountable sets.

Answer 1

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In mathematics, a countable set is aset with the same cardinality (number of elements) as some subset of theset of natural numbers. ... Georg Cantor introduced the term countable set, contrasting sets that arecountable with those that areuncountable (i.e., nonenumerable or nondenumerable)

Answer 2

Countable and uncountable. Definition 32. An set Ω is said to be finite if there is an n ∈ N and a bijection from Ω onto [n]. An infinite set Ω is said to be countable if there is a bijection from N onto Ω. Generally, the word countable also includes finite sets.