Definition:Bounded Class
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Definition
Let $B$ be a class.
Bounded by Set
Let $x$ be a set.
$B$ is bounded by $x$ if and only if:
Bounded Subset of Class
Let $B$ be a subclass of a class $A$.
Then $B$ is a bounded subset of $A$ if and only if:
- there exists a set $x \in A$ such that $B$ is bounded by $x$
Also see
Sources
- 2010: Raymond M. Smullyan and Melvin Fitting: Set Theory and the Continuum Problem (revised ed.) ... (previous) ... (next): Chapter $3$: The Natural Numbers: $\S 4$ A double induction principle and its applications: Definition $4.11$