Boundedness refers to the condition of being limited or bound within certain boundaries or constraints. The antonyms of the term 'boundedness' could be words like boundlessness, openness, infinity, limitlessness, vastness, and expansiveness. When something is boundless, it is limitless and without confinement, and has no restrictions. Similarly, openness suggests a lack of restriction or confinement, while infinity indicates that there is no limit to a particular thing. Limitlessness and vastness denote that something has no boundaries or limits, while expansiveness suggests that something is broad, extensive, and expansive. Therefore, the antonyms of 'boundedness' provide a sense of freedom, expanse, and boundlessness without limits.