Boundedness or bounded may refer to:

• Bounded set, a set of finite size, including a bounded poset, a partially ordered set which has both a greatest element and a least element
• Bounded set (topological vector space), a set in which every neighborhood of the zero vector can be inflated to include the set
• Bounded function, a function whose possible values are a bounded set
• Bounded operator, a linear transformation L between normed vector spaces for which the ratio of the norm of L(v) to that of v is bounded by the same number, over all non-zero vectors v
• Bounded sequence, a sequence whose set of values is bounded
• Bounded variation, a real-valued functions whose total variation is bounded
• Boundedness axiom, the axiom schema of replacement

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