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What is the noun for unboundedly?

What's the noun for unboundedly? Here's the word you're looking for.

unboundedness
  1. The condition of being unbounded
  2. Synonyms:
  3. Examples:
    1. “She also said that Brauer may have proved a general statement about the unboundedness of the degrees of minimal splitting fields.”
      “We show that m-handed assembly planning can be reduced to testing for unboundedness.”
      “It is the unboundedness of hyperbolic doubt that underwrites the No Atheistic Knowledge Thesis.”
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