Enumerated set

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We can list (or enumerate) the elements of a set:

You can think of this as shorthand for the set comprehension [math]\{n \href{/cs2800/wiki/index.php/%5Cmid}{\mid} n = 1\href{/cs2800/wiki/index.php/Or}{\text{ or }n} = 2\href{/cs2800/wiki/index.php/Or}{\text{ or }n}=3\} [/math].

Sometimes we include a [math]\dots [/math] in an enumerated set if its meaning is clear (such as in the definition of [math]\href{/cs2800/wiki/index.php/%E2%84%95}{ℕ} [/math]). This can be formalized more carefully as an inductively defined set.