intractability, intractableness - the trait of being hard to influence or control

resoluteness, resolve, firmness, resolution - the trait of being resolute; firmness of purpose; "his resoluteness carried him through the battle"; "it was his unshakeable resolution to finish the work"

impenitence, impenitency - the trait of refusing to repent

intransigence, intransigency - the trait of being intransigent; stubbornly refusing to compromise