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Webster 1913 Edition

Noun.

The state of being litigious; disposition to engage in or carry on lawsuits.

Noun.

A disposition to engage in or carry on lawsuits; inclination to judicial contests.

litigiousness ‎(uncountable)

Property of being litigious, of tending to resort to legal means such as sorts.
His litigiousness won him almost as few friends as it won him cases.